Entropy and the Time Evolution of Macroscopic Systems

Author:   Walter T. Grandy, Jr. (Department of Physics, University of Wyoming)
Publisher:   Oxford University Press
Volume:   141
ISBN:  

9780199655434


Pages:   224
Publication Date:   28 June 2012
Format:   Paperback
Availability:   To order   Availability explained
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Entropy and the Time Evolution of Macroscopic Systems


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Overview

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.

Full Product Details

Author:   Walter T. Grandy, Jr. (Department of Physics, University of Wyoming)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   141
Dimensions:   Width: 17.20cm , Height: 1.30cm , Length: 23.80cm
Weight:   0.346kg
ISBN:  

9780199655434


ISBN 10:   019965543
Pages:   224
Publication Date:   28 June 2012
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Introduction 2: Some Clarification from Another Direction 3: The Probability Connection 4: Equilibrium Statistical Mechanics and Thermodynamics 5: The Presumed Extensivity of Entropy 6: Nonequilibrium States 7: Steady-State Processes 8: Sources and Time-Dependent Proceses 9: Thermal Driving 10: Application to Fluid Dynamics 11: Irreversibility, Relaxation, and the Approach to Equilibrium 12: Entropy Production and Dissipation Rates A: Perturbation Theory B: Dissipative Currents and Galilean Invariance C: Analytic Continuation of Covariance Functions

Reviews

Delightful...a scholarly and refreshing text that explores in detail the subtleties of carrying out a maximum entropy approach to describe irreversible processes. Physics Today Written in an accessible style, the book makes numerous little-known connections between macroscopic and microscopic expressions for entropy and entropy production...Filled with many examples, Grandys thought-provoking exposition will be of interest for years to come. I would recommend it to any serious student of statistical physics. Physics Today


`Delightful...a scholarly and refreshing text that explores in detail the subtleties of carrying out a maximum entropy approach to describe irreversible processes.' Physics Today `Written in an accessible style, the book makes numerous little-known connections between macroscopic and microscopic expressions for entropy and entropy production...Filled with many examples, Grandys thought-provoking exposition will be of interest for years to come. I would recommend it to any serious student of statistical physics.' Physics Today


Author Information

Walter T. Grandy, Jr., Department of Physics, University of Wyoming

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