Advertisement
| entropy and the second law of thermodynamics: Entropy and the Second Law Arieh Ben-Naim, 2012-05-15 This book presents a clear and readable description of one of the most mysterious concepts of physics: Entropy. It contains a self-learning kit that guides the reader in understanding the concepts of entropy. In the first part, the reader is asked to play the familiar twenty-Question game. Once the reader feels comfortable with playing this game and acquires proficiency in playing the game effectively (intelligently), he or she will be able to capture the elusive and used-to-be mysterious concept of entropy. There will be no more speculative or arbitrary interpretations, nor “older” or “modern” views of entropy. This book will guide readers in choosing their own interpretation of entropy. Video intro on the Bestsellers on Entropy by Arieh Ben-Naim https://www.youtube.com/watch?v=S5fOsKyOlHw Request Inspection Copy Contents:Introduction: From Heat Engines to Disorder, Information Spreading, Freedom, and More…Forget about Entropy for a While, Let us Go and Play iGamesThe Astounding Emergence of the Entropy of a Classical Ideal Gas out of Shannon's Measure of InformationExamples and Their Interpretations. Challenges for any Descriptor of EntropyFinally, Let Us Discuss the Most Mysterious Second Law of Thermodynamics Readership: Undergraduate and graduate students in chemistry and physics, academics and lay persons. |
| entropy and the second law of thermodynamics: Discover Entropy And The Second Law Of Thermodynamics: A Playful Way Of Discovering A Law Of Nature Arieh Ben-naim, 2010-08-03 This is a sequel to the author's book entitled “Entropy Demystified” (Published by World Scientific, 2007). The aim is essentially the same as that of the previous book by the author: to present Entropy and the Second Law as simple, meaningful and comprehensible concepts. In addition, this book presents a series of “experiments” which are designed to help the reader discover entropy and the Second Law. While doing the experiments, the reader will encounter three most fundamental probability distributions featuring in Physics: the Uniform, the Boltzmann and the Maxwell-Boltzmann distributions. In addition, the concepts of entropy and the Second Law will emerge naturally from these experiments without a tinge of mystery. These concepts are explained with the help of a few familiar ideas of probability and information theory.The main “value” of the book is to introduce entropy and the Second Law in simple language which renders it accessible to any reader who can read and is curious about the basic laws of nature. The book is addressed to anyone interested in science and in understanding natural phenomenon. It will afford the reader the opportunity to discover one of the most fundamental laws of physics — a law that has resisted complete understanding for over a century. The book is also designed to be enjoyable.There is no other book of its kind (except “Entropy Demystified” by the same author) that offers the reader a unique opportunity to discover one of the most profound laws — sometimes viewed as a mysterious — while comfortably playing with familiar games. There are no pre-requisites expected from the readers; all that the reader is expected to do is to follow the experiments or imagine doing the experiments and reach the inevitable conclusions. |
| entropy and the second law of thermodynamics: Entropy and the Second Law of Thermodynamics Robert Fleck, 2023-10-27 This book is a brief and accessible popular science text intended for a broad audience and of particular interest also to science students and specialists. Using a minimum of mathematics, a number of qualitative and quantitative examples, and clear illustrations, the author explains the science of thermodynamics in its full historical context, focusing on the concepts of energy and its availability and transformation in thermodynamic processes. His ultimate aim is to gain a deep understanding of the second law—the increase of entropy—and its rather disheartening message of a universe descending inexorably into chaos and disorder. It also examines the connection between the second law and why things go wrong in our daily lives. Readers will enhance their science literacy and feel more at home on the science side of author C. P. Snow's celebrated two-culture, science-humanities divide, and hopefully will feel more at home in the universe knowing that the disorder we deal with in our daily lives is not anyone's fault but Nature's. |
| entropy and the second law of thermodynamics: The Second Law of Economics Reiner Kümmel, 2011-06-24 Nothing happens in the world without energy conversion and entropy production. These fundamental natural laws are familiar to most of us when applied to the evolution of stars, biological processes, or the working of an internal combustion engine, but what about industrial economies and wealth production, or their constant companion, pollution? Does economics conform to the First and the Second Law of Thermodynamics? In this important book, Reiner Kümmel takes us on a fascinating tour of these laws and their influence on natural, technological, and social evolution. Analyzing economic growth in Germany, Japan, and the United States in light of technological constraints on capital, labor, and energy, Professor Kümmel upends conventional economic wisdom by showing that the productive power of energy far outweighs its small share of costs, while for labor just the opposite is true. Wealth creation by energy conversion is accompanied and limited by polluting emissions that are coupled to entropy production. These facts constitute the Second Law of Economics. They take on unprecedented importance in a world that is facing peak oil, debt-driven economic turmoil, and threats from pollution and climate change. They complement the First Law of Economics: Wealth is allocated on markets, and the legal framework determines the outcome. By applying the First and Second Law we understand the true origins of wealth production, the issues that imperil the goal of sustainable development, and the technological options that are compatible both with this goal and with natural laws. The critical role of energy and entropy in the productive sectors of the economy must be realized if we are to create a road map that avoids a Dark Age of shrinking natural resources, environmental degradation, and increasing social tensions. |
| entropy and the second law of thermodynamics: Challenges to The Second Law of Thermodynamics Vladislav Capek, Daniel P. Sheehan, 2005-02-15 The second law of thermodynamics is considered one of the central laws of science, engineering and technology. For over a century it has been assumed to be inviolable by the scientific community. Over the last 10-20 years, however, more than two dozen challenges to it have appeared in the physical literature - more than during any other period in its 150-year history. The number and variety of these represent a cogent threat to its absolute status. This is the first book to document and critique these modern challenges. Written by two leading exponents of this rapidly emerging field, it covers the theoretical and experimental aspects of principal challenges. In addition, unresolved foundational issues concerning entropy and the second law are explored. This book should be of interest to anyone whose work or research is touched by the second law. |
| entropy and the second law of thermodynamics: Entropy Demystified: The Second Law Reduced To Plain Common Sense Arieh Ben-naim, 2007-05-04 In this unique book, Arieh Ben-Naim invites the reader to experience the joy of appreciating something which has eluded understanding for many years — entropy and the Second Law of Thermodynamics.The book has a two-pronged message: first, that the Second Law is not “infinitely incomprehensible” as commonly stated in textbooks of thermodynamics but can, in fact, be comprehended through sheer common sense; and second, that entropy is not a mysterious quantity that has “resisted understanding” but a simple, familiar and easily comprehensible concept.Written in an accessible style, the book guides the reader through an abundance of dice games and examples from everyday life. The author paves the way for readers to discover for themselves what entropy is, how it changes, and most importantly, why it always changes in one direction in a spontaneous process. |
| entropy and the second law of thermodynamics: The Second Law of Life John E.J. Schmitz, 2007-01-22 In this compelling, and important book, John Schmitz brings order to the world of chaos that surrounds us. The Second Law of Life refers to the second law of thermodynamics, entropy, which is an omnipresent force that quietly and crucially determines every aspect of our society, culture and daily lives. Unless we come to understand entropy, future generations will face consequences of the unstoppable laws of physics.Entropy explains the amount of energy no longer capable of doing work; in other words, wasted energy or heat loss. Each moment of every day, we lose irreplaceable energy and ômodernö technology is not helping. In fact, it is accelerating the problem at a catastrophic rate. û And we will ultimately face a heat death crisis and utter destruction of the Earth. Even actions we take to improve the environment may actually do more damage than good. For example, recycling is considered environmentally, socially and politically correct. Under the influence of entropy, however, it is a prolific waster of energy; we must look at entire systems, not just parts.It is critical that we find ways to reduce energy loss. Seeing the problems with greater clarity will lead to solutions. This fascinating and accessible journey through the second law of thermodynamics is a step in the right direction. |
| entropy and the second law of thermodynamics: Statistical Mechanics E.H. Lieb, 2004-11-29 In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors. |
| entropy and the second law of thermodynamics: The Second Law Peter William Atkins, 1984 Explains how scientists first observed the second law of thermodynamics, discusses its connection with living things, and looks at the nature of structure and chaos |
| entropy and the second law of thermodynamics: Beyond the Second Law Roderick C. Dewar, Charles H. Lineweaver, Robert K. Niven, Klaus Regenauer-Lieb, 2013-12-02 The Second Law, a cornerstone of thermodynamics, governs the average direction of dissipative, non-equilibrium processes. But it says nothing about their actual rates or the probability of fluctuations about the average. This interdisciplinary book, written and peer-reviewed by international experts, presents recent advances in the search for new non-equilibrium principles beyond the Second Law, and their applications to a wide range of systems across physics, chemistry and biology. Beyond The Second Law brings together traditionally isolated areas of non-equilibrium research and highlights potentially fruitful connections between them, with entropy production playing the unifying role. Key theoretical concepts include the Maximum Entropy Production principle, the Fluctuation Theorem, and the Maximum Entropy method of statistical inference. Applications of these principles are illustrated in such diverse fields as climatology, cosmology, crystal growth morphology, Earth system science, environmental physics, evolutionary biology and technology, fluid turbulence, microbial biogeochemistry, plasma physics, and radiative transport, using a wide variety of analytical and experimental techniques. Beyond The Second Law will appeal to students and researchers wishing to gain an understanding of entropy production and its central place in the science of non-equilibrium systems – both in detail and in terms of the bigger picture. |
| entropy and the second law of thermodynamics: Entropy Demystified Arieh Ben-Naim, 2008 This book has a two-pronged message: first, that the second law of thermodynamics is not infinitely incomprehensible as commonly stated in most textbooks on thermodynamics, but can be comprehended through sheer common sense; and second, that entropy is not a mysterious quantity that has resisted understanding but a simple, familiar and easily comprehensible concept.--[p. 4] of cover. |
| entropy and the second law of thermodynamics: Entropy Beyond the Second Law Phil Attard, 2023 Entropy Beyond the Second Law presents a coherent formulation of all aspects of thermodynamics and statistical mechanics with entropy as the unifying theme. This second edition includes the novel entropic treatment of Bose-Einstein condensation, superfluidity, and high temperature superconductivity. The new physical insights and the quantitative agreement with experimental measurement provide concrete examples of the universal approach based on entropy advocated in the book. Thermodynamics and statistical mechanics are important subjects, and students, academics, and researchers require the fundamental concepts to be clearly and concisely presented, as part of a unified whole, and the mathematical derivations to be explained with detailed physical explanation and applications. |
| entropy and the second law of thermodynamics: Fundamentals of Physics I R. Shankar, 2019-08-20 A beloved introductory physics textbook, now including exercises and an answer key, explains the concepts essential for thorough scientific understanding In this concise book, R. Shankar, a well-known physicist and contagiously enthusiastic educator, explains the essential concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Now in an expanded edition—complete with problem sets and answers for course use or self-study—this work provides an ideal introduction for college-level students of physics, chemistry, and engineering; for AP Physics students; and for general readers interested in advances in the sciences. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. |
| entropy and the second law of thermodynamics: Cells: Molecules and Mechanisms Eric Wong, 2009 Yet another cell and molecular biology book? At the very least, you would think that if I was going to write a textbook, I should write one in an area that really needs one instead of a subject that already has multiple excellent and definitive books. So, why write this book, then? First, it's a course that I have enjoyed teaching for many years, so I am very familiar with what a student really needs to take away from this class within the time constraints of a semester. Second, because it is a course that many students take, there is a greater opportunity to make an impact on more students' pocketbooks than if I were to start off writing a book for a highly specialized upper- level course. And finally, it was fun to research and write, and can be revised easily for inclusion as part of our next textbook, High School Biology.--Open Textbook Library. |
| entropy and the second law of thermodynamics: The Second Law of Thermodynamics Joseph Kestin, 1976 |
| entropy and the second law of thermodynamics: Reflections on the Motive Power of Fire Sadi Carnot, 2012-05-09 The title essay, along with other papers in this volume, laid the foundation of modern thermodynamics. Highly readable, Reflections contains no arguments that depend on calculus, examining the relation between heat and work in terms of heat in steam engines, air-engines, and an internal combustion machine. Translation of 1890 edition. |
| entropy and the second law of thermodynamics: University Physics Samuel J. Ling, Jeff Sanny, William Moebs, 2017-12-19 University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME II Unit 1: Thermodynamics Chapter 1: Temperature and Heat Chapter 2: The Kinetic Theory of Gases Chapter 3: The First Law of Thermodynamics Chapter 4: The Second Law of Thermodynamics Unit 2: Electricity and Magnetism Chapter 5: Electric Charges and Fields Chapter 6: Gauss's Law Chapter 7: Electric Potential Chapter 8: Capacitance Chapter 9: Current and Resistance Chapter 10: Direct-Current Circuits Chapter 11: Magnetic Forces and Fields Chapter 12: Sources of Magnetic Fields Chapter 13: Electromagnetic Induction Chapter 14: Inductance Chapter 15: Alternating-Current Circuits Chapter 16: Electromagnetic Waves |
| entropy and the second law of thermodynamics: The Entropy Principle André Thess, 2011-01-04 Entropy – the key concept of thermodynamics, clearly explained and carefully illustrated. This book presents an accurate definition of entropy in classical thermodynamics which does not “put the cart before the horse” and is suitable for basic and advanced university courses in thermodynamics. Entropy is the most important and at the same time the most difficult term of thermodynamics to understand. Many students are discontent with its classical definition since it is either based on “temperature” and “heat” which both cannot be accurately defined without entropy, or since it includes concepts such as “molecular disorder” which does not fit in a macroscopic theory. The physicists Elliott Lieb and Jakob Yngvason have recently developed a new formulation of thermodynamics which is free of these problems. The Lieb-Yngvason formulation of classical thermodynamics is based on the concept of adiabatic accessibility and culminates in the entropy principle. The entropy principle represents the accurate mathematical formulation of the second law of thermodynamics. Temperature becomes a derived quantity whereas ”heat” is no longer needed. This book makes the Lieb-Yngvason theory accessible to students. The presentation is supplemented by seven illustrative examples which explain the application of entropy and the entropy principle in practical problems in science and engineering. |
| entropy and the second law of thermodynamics: Hawking on the Big Bang and Black Holes Stephen W. Hawking, 1993 Stephen Hawking, the Lucasian Professor of Mathematics at Cambridge University, has made important theoretical contributions to gravitational theory and has played a major role in the development of cosmology and black hole physics. Hawking's early work, partly in collaboration with Roger Penrose, showed the significance of spacetime singularities for the big bang and black holes. His later work has been concerned with a deeper understanding of these two issues. The work required extensive use of the two great intellectual achievements of the first half of the Twentieth Century: general relativity and quantum mechanics; and these are reflected in the reprinted articles. Hawking's key contributions on black hole radiation and the no-boundary condition on the origin of the universe are included. The present compilation of Stephen Hawking's most important work also includes an introduction by him, which guides the reader though the major highlights of the volume. This volume is thus an essentialitem in any library and will be an important reference source for those interested in theoretical physics and applied mathematics. It is an excellent thing to have so many of Professor Hawking's most important contributions to the theory of black holes and space-time singularities all collected together in one handy volume. I am very glad to have them. Roger Penrose (Oxford) This was an excellent idea to put the best papers by Stephen Hawking together. Even his papers written many years ago remain extremely useful for those who study classical and quantum gravity. By watching the evolution of his ideas one can get a very clear picture of the development of quantum cosmology during thelast quarter of this century. Andrei Linde (Stanford) This review could have been quite short: 'The book contains a selection of 21 of Stephen Hawking's most significant papers with an overview written by the author'. This w |
| entropy and the second law of thermodynamics: Physical Chemistry for the Biosciences Raymond Chang, 2005-02-11 This book is ideal for use in a one-semester introductory course in physical chemistry for students of life sciences. The author's aim is to emphasize the understanding of physical concepts rather than focus on precise mathematical development or on actual experimental details. Subsequently, only basic skills of differential and integral calculus are required for understanding the equations. The end-of-chapter problems have both physiochemical and biological applications. |
| entropy and the second law of thermodynamics: The Great Mental Models, Volume 1 Shane Parrish, Rhiannon Beaubien, 2024-10-15 Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage. |
| entropy and the second law of thermodynamics: Challenges to The Second Law of Thermodynamics Vladislav Capek, Daniel P. Sheehan, 2006-03-30 The advance of scienti?c thought in ways resembles biological and geologic transformation: long periods of gradual change punctuated by episodes of radical upheaval. Twentieth century physics witnessed at least three major shifts — relativity, quantum mechanics and chaos theory — as well many lesser ones. Now, st early in the 21 , another shift appears imminent, this one involving the second law of thermodynamics. Over the last 20 years the absolute status of the second law has come under increased scrutiny, more than during any other period its 180-year history. Since the early 1980’s, roughly 50 papers representing over 20 challenges have appeared in the refereed scienti?c literature. In July 2002, the ?rst conference on its status was convened at the University of San Diego, attended by 120 researchers from 25 countries (QLSL2002) [1]. In 2003, the second edition of Le?’s and Rex’s classic anthology on Maxwell demons appeared [2], further raising interest in this emerging ?eld. In 2004, the mainstream scienti?c journal Entropy published a special edition devoted to second law challenges [3]. And, in July 2004, an echo of QLSL2002 was held in Prague, Czech Republic [4]. Modern second law challenges began in the early 1980’s with the theoretical proposals of Gordon and Denur. Starting in the mid-1990’s, several proposals for experimentally testable challenges were advanced by Sheehan, et al. By the late 1990’s and early 2000’s, a rapid succession of theoretical quantum mechanical ? challenges were being advanced by C ́ apek, et al. |
| entropy and the second law of thermodynamics: Biology for AP ® Courses Julianne Zedalis, John Eggebrecht, 2017-10-16 Biology for AP® courses covers the scope and sequence requirements of a typical two-semester Advanced Placement® biology course. The text provides comprehensive coverage of foundational research and core biology concepts through an evolutionary lens. Biology for AP® Courses was designed to meet and exceed the requirements of the College Board’s AP® Biology framework while allowing significant flexibility for instructors. Each section of the book includes an introduction based on the AP® curriculum and includes rich features that engage students in scientific practice and AP® test preparation; it also highlights careers and research opportunities in biological sciences. |
| entropy and the second law of thermodynamics: Body Physics Lawrence Davis, 201? Body Physics was designed to meet the objectives of a one-term high school or freshman level course in physical science, typically designed to provide non-science majors and undeclared students with exposure to the most basic principles in physics while fulfilling a science-with-lab core requirement. The content level is aimed at students taking their first college science course, whether or not they are planning to major in science. However, with minor supplementation by other resources, such as OpenStax College Physics, this textbook could easily be used as the primary resource in 200-level introductory courses. Chapters that may be more appropriate for physics courses than for general science courses are noted with an asterisk symbol (*). Of course this textbook could be used to supplement other primary resources in any physics course covering mechanics and thermodynamics--Textbook Web page. |
| entropy and the second law of thermodynamics: Energy and Entropy Harvey S. Leff, 2020-08-26 Energy is typically regarded as understandable, despite its multiple forms of storage and transfer. Entropy, however, is an enigma, in part because of the common view that it represents disorder. That view is flawed and hides entropy’s connection with energy. In fact, macroscopic matter stores internal energy, and that matter’s entropy is determined by how the energy is stored. Energy and entropy are intimately linked. Energy and Entropy: A Dynamic Duo illuminates connections between energy and entropy for students, teachers, and researchers. Conceptual understanding is emphasised where possible through examples, analogies, figures, and key points. Features: Qualitative demonstration that entropy is linked to spatial and temporal energy spreading, with equilibrium corresponding to the most equitable distribution of energy, which corresponds to maximum entropy Analysis of energy and entropy of matter and photons, with examples ranging from rubber bands, cryogenic cooling, and incandescent lamps to Hawking radiation of black holes Unique coverage of numerical entropy, the 3rd law of thermodynamics, entropic force, dimensionless entropy, free energy, and fluctuations, from Maxwell's demon to Brownian ratchets, plus attempts to violate the second law of thermodynamics |
| entropy and the second law of thermodynamics: Entropic Creation Helge S. Kragh, 2016-04-29 Entropic Creation is the first English-language book to consider the cultural and religious responses to the second law of thermodynamics, from around 1860 to 1920. According to the second law of thermodynamics, as formulated by the German physicist Rudolf Clausius, the entropy of any closed system will inevitably increase in time, meaning that the system will decay and eventually end in a dead state of equilibrium. Application of the law to the entire universe, first proposed in the 1850s, led to the prediction of a future 'heat death', where all life has ceased and all organization dissolved. In the late 1860s it was pointed out that, as a consequence of the heat death scenario, the universe can have existed only for a finite period of time. According to the 'entropic creation argument', thermodynamics warrants the conclusion that the world once begun or was created. It is these two scenarios, allegedly consequences of the science of thermodynamics, which form the core of this book. The heat death and the claim of cosmic creation were widely discussed in the period 1870 to 1920, with participants in the debate including European scientists, intellectuals and social critics, among them the physicist William Thomson and the communist thinker Friedrich Engels. One reason for the passion of the debate was that some authors used the law of entropy increase to argue for a divine creation of the world. Consequently, the second law of thermodynamics became highly controversial. In Germany in particular, materialists and positivists engaged in battle with Christian - mostly Catholic - scholars over the cosmological consequences of thermodynamics. This heated debate, which is today largely forgotten, is reconstructed and examined in detail in this book, bringing into focus key themes on the interactions between cosmology, physics, religion and ideology, and the public way in which these topics were discussed in the latter half of the nineteenth and the first years of the twentieth century. |
| entropy and the second law of thermodynamics: Jacob Bekenstein: The Conservative Revolutionary Lars Brink, Viatcheslav F Mukhanov, Eliezer Rabinovici, Kok Khoo Phua, 2019-09-12 Jacob Bekenstein, an Israeli physicist of the Hebrew University, Jerusalem, planted the seeds of a revolution of our understanding of space-time. Using conservative intuitive methods including time-old gedanken experiments, he discovered that black holes have thermodynamical properties such as entropy.Moreover, he found that their entropy was not extensive, unlike that of any other thermodynamical system considered before, but rather is proportional to the surface of their horizon. Furthermore, Bekenstein pioneered the study of black holes by focusing on their information content aspects. This led him to obtain bounds of a holographic nature on the amount of information that can be stored in a given region of space-time.This book contains a series of scientific and personal contributions by his contemporaries who recall the struggle against his ideas and then with them: the fate accompanying many revolutionary ideas. This is followed by original scientific contributions by many of the leaders of current research on black hole physics and holography. They have trodden his path and expanded it. The impact of Jacob Bekenstein's visionary ideas is just starting to be understood. |
| entropy and the second law of thermodynamics: Entropy and the Tao of Counting Kim Sharp, 2019-12-13 This book provides a complete and accurate atomic level statistical mechanical explanation of entropy and the second law of thermodynamics. It assumes only a basic knowledge of mechanics and requires no knowledge of calculus. The treatment uses primarily geometric arguments and college level algebra. Quantitative examples are given at each stage to buttress physical understanding. This text is of benefit to undergraduate and graduate students, as well as educators and researchers in the physical sciences (whether or not they have taken a thermodynamics course) who want to understand or teach the atomic/molecular origins of entropy and the second law. It is particularly aimed at those who, due to insufficient mathematical background or because of their area of study, are not going to take a traditional statistical mechanics course. |
| entropy and the second law of thermodynamics: Thermodynamics, Gas Dynamics, and Combustion Henry Clyde Foust III, 2021-12-07 This textbook provides students studying thermodynamics for the first time with an accessible and readable primer on the subject. The book is written in three parts: Part I covers the fundamentals of thermodynamics, Part II is on gas dynamics, and Part III focuses on combustion. Chapters are written clearly and concisely and include examples and problems to support the concepts outlined in the text. The book begins with a discussion of the fundamentals of thermodynamics and includes a thorough analysis of engineering devices. The book moves on to address applications in gas dynamics and combustion to include advanced topics such as two-phase critical flow and blast theory. Written for use in Introduction to Thermodynamics, Advanced Thermodynamics, and Introduction to Combustion courses, this book uniquely covers thermodynamics, gas dynamics, and combustion in a clear and concise manner, showing the integral connections at an advanced undergraduate or graduate student level. |
| entropy and the second law of thermodynamics: The Crying of Lot 49 Thomas Pynchon, 2012-06-13 One of The Atlantic’s Great American Novels of the Past 100 Years “The comedy crackles, the puns pop, the satire explodes.”—The New York Times “The work of a virtuoso with prose . . . His intricate symbolic order [is] akin to that of Joyce’s Ulysses.”—Chicago Tribune “A puzzle, an intrigue, a literary and historical tour de force.”—San Francsisco Examiner The highly original satire about Oedipa Maas, a woman who finds herself enmeshed in a worldwide conspiracy. When her ex-lover, wealthy real-estate tycoon Pierce Inverarity, dies and designates her the coexecutor of his estate, California housewife Oedipa Maas is thrust into a paranoid mystery of metaphors, symbols, and the United States Postal Service. Traveling across Southern California, she meets some extremely interesting characters, and attains a not inconsiderable amount of self-knowledge. |
| entropy and the second law of thermodynamics: Physics of Cryogenics Bahman Zohuri, 2017-11-17 Physics of Cryogenics: An Ultralow Temperature Phenomenon discusses the significant number of advances that have been made during the last few years in a variety of cryocoolers, such as Brayton, Joule-Thomson, Stirling, pulse tube, Gifford-McMahon and magnetic refrigerators. The book reviews various approaches taken to improve reliability, a major driving force for new research areas. The advantages and disadvantages of different cycles are compared, and the latest improvements in each of these cryocoolers is discussed. The book starts with the thermodynamic fundamentals, followed by the definition of cryogenic and the associated science behind low temperature phenomena and properties. This book is an ideal resource for scientists, engineers and graduate and senior undergraduate students who need a better understanding of the science of cryogenics and related thermodynamics. - Defines the fundamentals of thermodynamics that are associated with cryogenic processes - Provides an overview of the history of the development of cryogenic technology - Includes new, low temperature tables written by the author - Deals with the application of cryogenics to preserve objects at very low temperature - Explains how cryogenic phenomena work for human cell and human body preservations and new medical approaches |
| entropy and the second law of thermodynamics: An Introduction to Thermal Physics Daniel V. Schroeder, 2021-01-05 This is a textbook for the standard undergraduate-level course in thermal physics. The book explores applications to engineering, chemistry, biology, geology, atmospheric science, astrophysics, cosmology, and everyday life. |
| entropy and the second law of thermodynamics: Law and Gospel William McDavid, Ethan Richardson, David Zahl, 2015-04-10 There's a big difference between judgment and love, obligation and freedom, a wage and a gift. The difference characterizes an extraordinary amount of our day-to-day experience, often dividing fear from hope, and death from life. At the heart of Christianity lies a similar and related dynamic: between the Law and the Gospel. Far from being a reductive or antiquated distinction, understanding where one ends and the other begins allows a person to see both the Bible and themselves-indeed, the whole world!-in a fresh and enlivening way. Written with the non-theologian in mind, this short volume unpacks the good news of God's grace with practicality, humor, and a whole lot of heart. |
| entropy and the second law of thermodynamics: Chemistry 2e Paul Flowers, Richard Langely, William R. Robinson, Klaus Hellmut Theopold, 2019-02-14 Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition. |
| entropy and the second law of thermodynamics: Chemistry Bruce Averill, Patricia Eldredge, 2007 Emphasises on contemporary applications and an intuitive problem-solving approach that helps students discover the exciting potential of chemical science. This book incorporates fresh applications from the three major areas of modern research: materials, environmental chemistry, and biological science. |
| entropy and the second law of thermodynamics: 50 Psychology Ideas You Really Need to Know Adrian Furnham, 2013-10-01 How different are men and women's brains? Does altruism really exist? Are our minds blank slates at birth? And do dreams reveal our unconscious desires? If you have you ever grappled with these concepts, or tried your hand as an amateur psychologist, 50 Psychology Ideas You Really Need to Know could be just the book for you. Not only providing the answers to these questions and many more, this series of engaging and accessible essays explores each of the central concepts, as well as the arguments of key thinkers. Author Adrian Furnham offers expert and concise introductions to emotional behavior, cognition, mentalconditions--from stress to schizophrenia--rationality and personality development, amongst many others. This is a fascinating introduction to psychology for anyone interested in understanding the human mind. |
| entropy and the second law of thermodynamics: Karl Marx: A Nineteenth-Century Life Jonathan Sperber, 2013-03-11 This major biography fundamentally reshapes our understanding of a towering historical figure. |
| entropy and the second law of thermodynamics: Time's Arrow and Archimedes' Point Huw Price, 1997-12-04 Why is the future so different from the past? Why does the past affect the future and not the other way around? What does quantum mechanics really tell us about the world? In this important and accessible book, Huw Price throws fascinating new light on some of the great mysteries of modern physics, and connects them in a wholly original way. Price begins with the mystery of the arrow of time. Why, for example, does disorder always increase, as required by the second law of thermodynamics? Price shows that, for over a century, most physicists have thought about these problems the wrong way. Misled by the human perspective from within time, which distorts and exaggerates the differences between past and future, they have fallen victim to what Price calls the double standard fallacy: proposed explanations of the difference between the past and the future turn out to rely on a difference which has been slipped in at the beginning, when the physicists themselves treat the past and future in different ways. To avoid this fallacy, Price argues, we need to overcome our natural tendency to think about the past and the future differently. We need to imagine a point outside time -- an Archimedean view from nowhen -- from which to observe time in an unbiased way. Offering a lively criticism of many major modern physicists, including Richard Feynman and Stephen Hawking, Price shows that this fallacy remains common in physics today -- for example, when contemporary cosmologists theorize about the eventual fate of the universe. The big bang theory normally assumes that the beginning and end of the universe will be very different. But if we are to avoid the double standard fallacy, we need to consider time symmetrically, and take seriously the possibility that the arrow of time may reverse when the universe recollapses into a big crunch. Price then turns to the greatest mystery of modern physics, the meaning of quantum theory. He argues that in missing the Archimedean viewpoint, modern physics has missed a radical and attractive solution to many of the apparent paradoxes of quantum physics. Many consequences of quantum theory appear counterintuitive, such as Schrodinger's Cat, whose condition seems undetermined until observed, and Bell's Theorem, which suggests a spooky nonlocality, where events happening simultaneously in different places seem to affect each other directly. Price shows that these paradoxes can be avoided by allowing that at the quantum level the future does, indeed, affect the past. This demystifies nonlocality, and supports Einstein's unpopular intuition that quantum theory describes an objective world, existing independently of human observers: the Cat is alive or dead, even when nobody looks. So interpreted, Price argues, quantum mechanics is simply the kind of theory we ought to have expected in microphysics -- from the symmetric standpoint. Time's Arrow and Archimedes' Point presents an innovative and controversial view of time and contemporary physics. In this exciting book, Price urges physicists, philosophers, and anyone who has ever pondered the mysteries of time to look at the world from the fresh perspective of Archimedes' Point and gain a deeper understanding of ourselves, the universe around us, and our own place in time. |
| entropy and the second law of thermodynamics: Entropy and the Tao of Counting Kim Sharp, 2020-02-05 This book provides a complete and accurate atomic level statistical mechanical explanation of entropy and the second law of thermodynamics. It assumes only a basic knowledge of mechanics and requires no knowledge of calculus. The treatment uses primarily geometric arguments and college level algebra. Quantitative examples are given at each stage to buttress physical understanding. This text is of benefit to undergraduate and graduate students, as well as educators and researchers in the physical sciences (whether or not they have taken a thermodynamics course) who want to understand or teach the atomic/molecular origins of entropy and the second law. It is particularly aimed at those who, due to insufficient mathematical background or because of their area of study, are not going to take a traditional statistical mechanics course. |
| entropy and the second law of thermodynamics: A New Kind of Science Stephen Wolfram, 2002 This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism. |
Entropy | An Open Access Journal from MDPI
Entropy is an international and interdisciplinary peer-reviewed open access journal of entropy and information studies, published monthly online by MDPI.
Entropy - MDPI
The concept of entropy constitutes, together with energy, a cornerstone of contemporary physics and related areas. It was originally introduced by Clausius in 1865 along abstract lines …
Entropy: From Thermodynamics to Information Processing - MDPI
Oct 14, 2021 · Entropy is most commonly defined as “disorder”, although it is not a good analogy since “order” is a subjective human concept, and “disorder” cannot always be obtained from …
Toward Improved Understanding of the Physical Meaning of …
Jul 22, 2016 · The overall direction of entropy increase indicates the direction of naturally occurring heat transfer processes in an isolated system that consists of internally interacting …
A Brief Review of Generalized Entropies - MDPI
Another very popular generalized entropy was introduced by Tsallis as a generalization of the Boltzmann–Gibbs entropy (Section 3.1) to describe the properties of physical systems with …
Entropy | Aims & Scope - MDPI
Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage …
The Entropy of Entropy: Are We Talking about the Same Thing?
Sep 1, 2023 · When using entropy as a concept, are we better off describing states only (using path-independent state variables from thermodynamics) or is a process-based approach …
Entropy: The Markov Ordering Approach - MDPI
The entropy maximum principle was applied to many physical and chemical problems. At the same time J.W. Gibbs mentioned that entropy maximizers under a given energy are energy …
Thermodynamics, Statistical Mechanics and Entropy - MDPI
Nevertheless, the canonical entropy is appropriate for calculating the thermodynamic entropy. Consider three macroscopic systems labeled A , B , and C . Let systems A and B be …
Applications of Entropy in Data Analysis and Machine Learning: A …
Dec 23, 2024 · Given the plethora of entropies in the literature, we have selected a representative group, including the classical ones. The applications summarized in this review nicely illustrate …
Entropy | An Open Access Journal from MDPI
Entropy is an international and interdisciplinary peer-reviewed open access journal of entropy and information studies, published monthly online by MDPI.
Entropy - MDPI
The concept of entropy constitutes, together with energy, a cornerstone of contemporary physics and related areas. It was originally introduced by Clausius in 1865 along abstract lines …
Entropy: From Thermodynamics to Information Processing - MDPI
Oct 14, 2021 · Entropy is most commonly defined as “disorder”, although it is not a good analogy since “order” is a subjective human concept, and “disorder” cannot always be obtained from …
Toward Improved Understanding of the Physical Meaning of …
Jul 22, 2016 · The overall direction of entropy increase indicates the direction of naturally occurring heat transfer processes in an isolated system that consists of internally interacting …
A Brief Review of Generalized Entropies - MDPI
Another very popular generalized entropy was introduced by Tsallis as a generalization of the Boltzmann–Gibbs entropy (Section 3.1) to describe the properties of physical systems with …
Entropy | Aims & Scope - MDPI
Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to …
The Entropy of Entropy: Are We Talking about the Same Thing?
Sep 1, 2023 · When using entropy as a concept, are we better off describing states only (using path-independent state variables from thermodynamics) or is a process-based approach …
Entropy: The Markov Ordering Approach - MDPI
The entropy maximum principle was applied to many physical and chemical problems. At the same time J.W. Gibbs mentioned that entropy maximizers under a given energy are energy …
Thermodynamics, Statistical Mechanics and Entropy - MDPI
Nevertheless, the canonical entropy is appropriate for calculating the thermodynamic entropy. Consider three macroscopic systems labeled A , B , and C . Let systems A and B be …
Applications of Entropy in Data Analysis and Machine Learning: A …
Dec 23, 2024 · Given the plethora of entropies in the literature, we have selected a representative group, including the classical ones. The applications summarized in this review nicely illustrate …
