Problems on statistical mechanics

著者

書誌事項

Problems on statistical mechanics

Diego A.R. Dalvit, Jaime Frastai, Ian D. Lawrie

（Graduate student series in physics）

Institute of Physics Pub., c1999

  • : pbk
  • : hbk

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注記

Includes index

内容説明・目次

巻冊次

: hbk ISBN 9780750305204

内容説明

A thorough understanding of statistical mechanics depends strongly on the insights and manipulative skills that are acquired through the solving of problems. Problems on Statistical Mechanics provides over 120 problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation that is used throughout the book. The problems themselves occupy five chapters, progressing from the simpler aspects of thermodynamics and equilibrium statistical ensembles to the more challenging ideas associated with strongly interacting systems and nonequilibrium processes. Comprehensive solutions to all of the problems are designed to illustrate efficient and elegant problem-solving techniques. Where appropriate, the authors incorporate extended discussions of the points of principle that arise in the course of the solutions. The appendix provides useful mathematical formulae.

目次

Preliminaries Review of theoretical definitions and formulae Notation used throughout the book Thermodynamics First and second law Thermodynamic potentials and quantities Maxwell relations Simple thermodynamic processes Statistical Ensembles Microcanonical, canonical, and grand canonical ensembles Connection with thermodynamics Equipartition theorem Noninteracting gases of classical particles Noninteracting lattice-type systems Gases of molecules Quantum Statistics Statistics of indistinguishable particles, bosons, and fermions Density of states Black body radiation Debye's models for solids Bose condensation Fermi gas Interacting Systems Classical gases and virial coefficients Critical exponents in phase transitions Ising type models and Heisenberg modes Exact and mean field approaches Nonequilibrium Systems Random walk Markov chains Master equation Diffusion phenomena Boltzmann transport equation Relaxation time approximation Appendix: Useful Mathematical Formulae Index
巻冊次

: pbk ISBN 9780750305211

内容説明

A thorough understanding of statistical mechanics depends strongly on the insights and manipulative skills that are acquired through the solving of problems. Problems on Statistical Mechanics provides over 120 problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation that is used throughout the book. The problems themselves occupy five chapters, progressing from the simpler aspects of thermodynamics and equilibrium statistical ensembles to the more challenging ideas associated with strongly interacting systems and nonequilibrium processes. Comprehensive solutions to all of the problems are designed to illustrate efficient and elegant problem-solving techniques. Where appropriate, the authors incorporate extended discussions of the points of principle that arise in the course of the solutions. The appendix provides useful mathematical formulae.

目次

Preface. Introduction. Thermodynamics. Statistical ensembles. Quantum statistics. Interacting systems. Non-equilibrium methods and transport processes. Appendix: Useful formulae. Index

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