Entropy and the time evolution of macroscopic systems / Walter T. Grandy, Jr.

Format:

Book

Author/Creator:

Grandy, Walter T., 1933-

Series:

International series of monographs on physics (Oxford, England) ; 141.

International series of monographs on physics ; 141

Language:

English

Subjects (All):

Entropy--Statistical methods.

Entropy.

Entropy (Information theory).

Physical Description:

1 online resource (224 p.)

Place of Publication:

Oxford ; New York : Oxford University Press, 2008.

Language Note:

English

Summary:

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 shorthistory of the development of the entropy concept by Rudolph Clausius and his predecessors, along with the formaliza

Contents:

Contents; Preface; 1 Introduction; 1.1 Heat; 1.2 The emergence of entropy; 1.3 Classical thermodynamics; 1.4 Is there a deeper interpretation?; 2 Some clarification from another direction; 2.1 Information and physics; 3 The probability connection; 3.1 The principle of maximum entropy; 4 Equilibrium statistical mechanics and thermodynamics; 4.1 The meaning of maximum entropy; 4.2 Fluctuations; 4.3 A mischaracterization; 5 The presumed extensivity of entropy; 6 Nonequilibrium states; 6.1 The linear approximation; 6.2 Simple fluids; 6.3 A transport example; 6.4 Inhomogeneous systems

6.5 Some reflection7 Steady-state processes; 7.1 Steady-state transport processes in simple fluids; 8 Sources and time-dependent processes; 8.1 Equation of motion revisited; 9 Thermal driving; 9.1 Nonequilibrium thermodynamics; 9.2 Linear heating; 9.3 A special case: linear dynamic response; 10 Application to fluid dynamics; 10.1 Hydrodynamic fluctuations; 10.2 Fluid dynamics equations of motion; 10.3 The onset of turbulence; 10.4 Ultrasonic propagation; 10.5 Correlations in nonequilibrium fluids; 11 Irreversibility, relaxation, and the approach to equilibrium; 11.1 Irreversibility

11.2 The second law11.3 Is time asymmetry an issue?; 11.4 Relaxation and the approach to equilibrium; 12 Entropy production and dissipation rates; 12.1 The statistical mechanics formulation; Appendix A: Perturbation theory; A.1 Fluid equations of motion; A.2 Operator identities; Appendix B: Dissipative currents and Galilean invariance; B.1 Galilean invariance; Appendix C: Analytic continuation of covariance functions; References; Name Index; A; B; C; D; E; F; G; H; J; K; L; M; N; O; P; Q; R; S; T; V; W; Y; Z; Subject Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; R; S; T; U; V

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [193]-203) and indexes.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-19-965543-X

0-19-156295-5

1-281-85330-5

9786611853303

OCLC:

429532036