The Science Of Entropy
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Farewell To Entropy A Statistical Thermodynamics Based On Information
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Author : Arieh Ben-naim
language : en
Publisher: World Scientific
Release Date : 2008-01-18
Farewell To Entropy A Statistical Thermodynamics Based On Information written by Arieh Ben-naim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-18 with Science categories.
The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term “entropy” with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the “driving force” of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term “entropy”; almost 50 years since Shannon developed the mathematical theory of “information” — subsequently renamed “entropy”. In this book, the author advocates replacing “entropy” by “information”, a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term “entropy”.The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the “driving force” for which is analyzed in terms of information.
Entropy
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Author : Arieh Ben-Naim
language : en
Publisher:
Release Date : 2020-12-02
Entropy written by Arieh Ben-Naim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-02 with categories.
The greatest blunder ever in the history of science. The Second Law of thermodynamics, the law of entropy, is one of the longest-standing laws of physics, unchanged even by the last century's two drastic revolutions in physics. However, the concept of entropy has long been misinterpreted and misused - making it the greatest ever blunder in the history of science, propagated for decades by scientists and non-scientists alike. This blunder was initially and primarily brought on by a deep misunderstanding of the concept of entropy. Ironically, ignorance about the meaning of entropy has led some scientists to associate entropy with ignorance, and the Second Law with the "law of spreading ignorance." In his book, Arieh Ben-Naim, a respected professor of physical chemistry, attempts to right these wrongs. He scrutinizes twelve misguided definitions and interpretations of entropy, brings order to the chaos, and finally lays out the true meaning of entropy in clear and accessible language anyone can understand.
The Entropy Vector
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Author : Robert D. Handscombe
language : en
Publisher: World Scientific
Release Date : 2004
The Entropy Vector written by Robert D. Handscombe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Business & Economics categories.
The authors suggest that a clearer understanding of entropy and the choices it presents will assist in management of change--or, as they put it, to manage disorder one needs to control the entropy vector.
Entropy
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Author : Andreas Greven
language : en
Publisher: Princeton University Press
Release Date : 2014-09-08
Entropy written by Andreas Greven and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-08 with Mathematics categories.
The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.
Entropy For Biologists
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Author : Harold J. Morowitz
language : en
Publisher: Elsevier
Release Date : 2013-09-03
Entropy For Biologists written by Harold J. Morowitz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Science categories.
Entropy for Biologists: An Introduction to Thermodynamics is an introductory book for people in the life sciences who wish to master the concepts of thermal physics without being forced to a degree and rate of symbol manipulation which is foreign to their patterns of thought. The book opens with a chapter on temperature, followed by separate chapters that discuss the concepts of energy, kinetic theory, total energy, the second law of thermodynamics, entropy, and probability and information theory. Subsequent chapters deal with statistical mechanics and its relation to thermodynamics, free-energy functions, applications of the Gibbs free energy and the Gibbs chemical potential, and measurement in thermal physics. The book is primarily directed at those graduate and advanced undergraduate students of biology and biochemistry who wish to develop a sense of confidence about their understanding of the thermal physics which will be useful in pursuing their work. It may also prove useful to professionals who wish to bolster their knowledge in this area.
Maximum Entropy Models In Science And Engineering
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Author : Jagat Narain Kapur
language : en
Publisher: John Wiley & Sons
Release Date : 1989
Maximum Entropy Models In Science And Engineering written by Jagat Narain Kapur and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Technology & Engineering categories.
This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear Spectral Analysis Of Time Series, Pattern Recognition, Marketing And Elections, Operations Research And Reliability Theory, Image Processing, Computerised Tomography, Biology And Medicine. There Are Over 600 Specially Constructed Exercises And Extensive Historical And Bibliographical Notes At The End Of Each Chapter.The Book Should Be Of Interest To All Applied Mathematicians, Physicists, Statisticians, Economists, Engineers Of All Types, Business Scientists, Life Scientists, Medical Scientists, Radiologists And Operations Researchers Who Are Interested In Applying The Powerful Methodology Based On Maximum Entropy Principle In Their Respective Fields.
A History Of Thermodynamics
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Author : Ingo Müller
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-16
A History Of Thermodynamics written by Ingo Müller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-16 with Science categories.
The most exciting and significant episode of scientific progress is the development of thermodynamics and electrodynamics in the 19th century and early 20th century. The nature of heat and temperature was recognized, the conservation of energy was discovered, and the realization that mass and energy are equivalent provided a new fuel, – and unlimited power. Much of this occurred in unison with the rapid technological advance provided by the steam engine, the electric motor, internal combustion engines, refrigeration and the rectification processes of the chemical industry. The availability of cheap power and cheap fuel has had its impact on society: Populations grew, the standard of living increased, the envir- ment became clean, traffic became easy, and life expectancy was raised. Knowledge fairly exploded. The western countries, where all this happened, gained in power and influence, and western culture – scientific culture – spread across the globe, and is still spreading. At the same time, thermodynamics recognized the stochastic and probabilistic aspect of natural processes. It turned out that the doctrine of energy and entropy rules the world; the first ingredient – energy – is deterministic, as it were, and the second – entropy – favours randomness. Both tendencies compete, and they find the precarious balance needed for stability and change alike.
The Entropy Crisis
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Author : Guy Deutscher
language : en
Publisher: World Scientific
Release Date : 2008
The Entropy Crisis written by Guy Deutscher and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Intends to prove that the "energy crisis" is an entropy crisis. This book uses examples from daily experiences to introduce the concept of entropy. It shows that the entropy increase due to irreversible transformations simultaneously determines the level of fresh energy supplies of our society and the damage that it causes to the environment.
The Entropy Principle
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Author : André Thess
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-04
The Entropy Principle written by André Thess and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-04 with Science categories.
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.
Mathematical Theory Of Entropy
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Author : Nathaniel F. G. Martin
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-02
Mathematical Theory Of Entropy written by Nathaniel F. G. Martin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Computers categories.
This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.