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Entropy And The Time Evolution Of Macroscopic Systems
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Book Synopsis Entropy and the Time Evolution of Macroscopic Systems by : Walter T. Grandy Jr.
Download or read book Entropy and the Time Evolution of Macroscopic Systems written by Walter T. Grandy Jr. and published by OUP Oxford. This book was released on 2008-06-26 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the premise that the entropy concept, a fundamental element of probability theory as logic, governs all of thermal physics, both equilibrium and nonequilibrium. The variational algorithm of J. Willard Gibbs, dating from the 19th Century and extended considerably over the following 100 years, is shown to be the governing feature over the entire range of thermal phenomena, such that only the nature of the macroscopic constraints changes. Beginning with a short history of the development of the entropy concept by Rudolph Clausius and his predecessors, along with the formalization of classical thermodynamics by Gibbs, the first part of the book describes the quest to uncover the meaning of thermodynamic entropy, which leads to its relationship with probability and information as first envisioned by Ludwig Boltzmann. Recognition of entropy first of all as a fundamental element of probability theory in mid-twentieth Century led to deep insights into both statistical mechanics and thermodynamics, the details of which are presented here in several chapters. The later chapters extend these ideas to nonequilibrium statistical mechanics in an unambiguous manner, thereby exhibiting the overall unifying role of the entropy.
Book Synopsis Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature by : Valia Allori
Download or read book Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature written by Valia Allori and published by World Scientific. This book was released on 2020-04-22 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book:
Book Synopsis Multiscale Thermo-Dynamics by : Michal Pavelka
Download or read book Multiscale Thermo-Dynamics written by Michal Pavelka and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common feature of new emerging technologies is the fusion of the very small (nano) scale and the large scale engineering. The classical environment provided by single scale theories, as for instance by the classical hydrodynamics, is not anymore satisfactory. The main challenge is to keep the important details while still be able to keep the overall picture and simplicity. It is the thermodynamics that addresses this challenge. Our main reason for writing this book is to explain such general viewpoint of thermodynamics and to illustrate it on a very wide range of examples. Contents Levels of description Hamiltonian mechanics Irreversible evolution Reversible and irreversible evolution Multicomponent systems Contact geometry Appendix: Mathematical aspects
Book Synopsis Time, Chance, and Reduction by : Gerhard Ernst
Download or read book Time, Chance, and Reduction written by Gerhard Ernst and published by Cambridge University Press. This book was released on 2010-01-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics attempts to explain the behaviour of macroscopic physical systems in terms of the mechanical properties of their constituents. Although it is one of the fundamental theories of physics, it has received little attention from philosophers of science. Nevertheless, it raises philosophical questions of fundamental importance on the nature of time, chance and reduction. Most philosophical issues in this domain relate to the question of the reduction of thermodynamics to statistical mechanics. This book addresses issues inherent in this reduction: the time-asymmetry of thermodynamics and its absence in statistical mechanics; the role and essential nature of chance and probability in this reduction when thermodynamics is non-probabilistic; and how, if at all, the reduction is possible. Compiling contributions on current research by experts in the field, this is an invaluable survey of the philosophy of statistical mechanics for academic researchers and graduate students interested in the foundations of physics.
Book Synopsis Non-Equilibrium Statistical Mechanics by : Ilya Prigogine
Download or read book Non-Equilibrium Statistical Mechanics written by Ilya Prigogine and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.
Book Synopsis Entropy Demystified: The Second Law Reduced To Plain Common Sense by : Arieh Ben-naim
Download or read book Entropy Demystified: The Second Law Reduced To Plain Common Sense written by Arieh Ben-naim and published by World Scientific. This book was released on 2007-05-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Statistical Mechanics by : O. Penrose
Download or read book Foundations of Statistical Mechanics written by O. Penrose and published by Elsevier. This book was released on 2016-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.
Book Synopsis Statistical Mechanics by : James Sethna
Download or read book Statistical Mechanics written by James Sethna and published by OUP Oxford. This book was released on 2006-04-07 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
Download or read book The Janus Point written by Julian Barbour and published by Basic Books. This book was released on 2020-12-01 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a universe filled by chaos and disorder, one physicist makes the radical argument that the growth of order drives the passage of time -- and shapes the destiny of the universe. Time is among the universe's greatest mysteries. Why, when most laws of physics allow for it to flow forward and backward, does it only go forward? Physicists have long appealed to the second law of thermodynamics, held to predict the increase of disorder in the universe, to explain this. In The Janus Point, physicist Julian Barbour argues that the second law has been misapplied and that the growth of order determines how we experience time. In his view, the big bang becomes the "Janus point," a moment of minimal order from which time could flow, and order increase, in two directions. The Janus Point has remarkable implications: while most physicists predict that the universe will become mired in disorder, Barbour sees the possibility that order -- the stuff of life -- can grow without bound. A major new work of physics, The Janus Point will transform our understanding of the nature of existence.
Download or read book Entropy written by Andreas Greven and published by Princeton University Press. This book was released on 2014-09-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Energy and Entropy by : Michael E. Starzak
Download or read book Energy and Entropy written by Michael E. Starzak and published by Springer Science & Business Media. This book was released on 2010-01-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of thermodynamics is often limited to classical thermodynamics where minimal laws and concepts lead to a wealth of equations and applications. The resultant equations best describe systems at equilibrium with no temporal or s- tial parameters. The equations do, however, often provide accurate descriptions for systems close to equilibrium. . Statistical thermodynamics produces the same equilibrium information starting with the microscopic properties of the atoms or molecules in the system that correlates with the results from macroscopic classical thermodynamics. Because both these disciplines develop a wealth of information from a few starting postulates, e. g. , the laws of thermodyamics, they are often introduced as independent disciplines. However, the concepts and techniques dev- oped for these disciplines are extremely useful in many other disciplines. This book is intended to provide an introduction to these disciplines while revealing the connections between them. Chemical kinetics uses the statistics and probabilities developed for statistical thermodynamics to explain the evolution of a system to equilibrium. Irreversible thermodynamics, which is developed from the equations of classical thermodyn- ics, centers on distance-dependent forces, and time-dependent ?uxes. The force ?ux equations of irreversible thermodynamics lead are generated from the intensive and extensive variables of classical thermodynamics. These force ?ux equations lead, in turn, to transport equations such as Fick’s ?rst law of diffusion and the Nernst Planck equation for electrochemical transport. The book illustrates the concepts using some simple examples.
Book Synopsis Boltzmann's Legacy by : Jakob Yngvason
Download or read book Boltzmann's Legacy written by Jakob Yngvason and published by European Mathematical Society. This book was released on 2008 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.
Download or read book Time and Chance written by David Z Albert and published by Harvard University Press. This book was released on 2003-02-28 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to get to the bottom of an acute and perennial tension between our best scientific pictures of the fundamental physical structure of the world and our everyday empirical experience of it. The trouble is about the direction of time. The situation (very briefly) is that it is a consequence of almost every one of those fundamental scientific pictures--and that it is at the same time radically at odds with our common sense--that whatever can happen can just as naturally happen backwards. Albert provides an unprecedentedly clear, lively, and systematic new account--in the context of a Newtonian-Mechanical picture of the world--of the ultimate origins of the statistical regularities we see around us, of the temporal irreversibility of the Second Law of Thermodynamics, of the asymmetries in our epistemic access to the past and the future, and of our conviction that by acting now we can affect the future but not the past. Then, in the final section of the book, he generalizes the Newtonian picture to the quantum-mechanical case and (most interestingly) suggests a very deep potential connection between the problem of the direction of time and the quantum-mechanical measurement problem. The book aims to be both an original contribution to the present scientific and philosophical understanding of these matters at the most advanced level, and something in the nature of an elementary textbook on the subject accessible to interested high-school students.
Book Synopsis Statistical Physics and Thermodynamics by : Jochen Rau
Download or read book Statistical Physics and Thermodynamics written by Jochen Rau and published by Oxford University Press. This book was released on 2017-09-22 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical physics and thermodynamics describe the behaviour of systems on the macroscopic scale. Their methods are applicable to a wide range of phenomena: from refrigerators to the interior of stars, from chemical reactions to magnetism. Indeed, of all physical laws, the laws of thermodynamics are perhaps the most universal. This text provides a concise yet thorough introduction to the key concepts which underlie statistical physics and thermodynamics. It begins with a review of classical probability theory and quantum theory, as well as a careful discussion of the notions of information and entropy, prior to embarking on the development of statistical physics proper. The crucial steps leading from the microscopic to the macroscopic domain are rendered transparent. In particular, the laws of thermodynamics are shown to emerge as natural consequences of the statistical framework. While the emphasis is on clarifying the basic concepts, the text also contains many applications and classroom-tested exercises, covering all major topics of a standard course on statistical physics and thermodynamics.
Book Synopsis Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics by : Errico Presutti
Download or read book Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics written by Errico Presutti and published by Springer Science & Business Media. This book was released on 2008-11-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanics and, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.
Book Synopsis Variational and Extremum Principles in Macroscopic Systems by : Stanislaw Sieniutycz
Download or read book Variational and Extremum Principles in Macroscopic Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2010-07-07 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin's maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. - A unique multidisciplinary synthesis of variational and extremum principles in theory and application - A comprehensive review of current and past achievements in variational formulations for macroscopic processes - Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy
Book Synopsis The Physics of Energy by : Robert L. Jaffe
Download or read book The Physics of Energy written by Robert L. Jaffe and published by Cambridge University Press. This book was released on 2018-01-25 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and unified introduction to the science of energy sources, uses, and systems for students, scientists, engineers, and professionals.
