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Problems on Statistical Mechanics

Buch | Hardcover
283 Seiten
1999
Institute of Physics Publishing (Verlag)
978-0-7503-0520-4 (ISBN)
113,45 inkl. MwSt
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Understanding statistical mechanics depends on a great deal of exercising and problem solving. This text provides more than 130 problems with model solutions, covering traditional and more recent areas of applications throughout physics.
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.

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

Erscheint lt. Verlag 1.1.1999
Reihe/Serie Graduate Student Series in Physics
Verlagsort London
Sprache englisch
Maße 156 x 234 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 0-7503-0520-7 / 0750305207
ISBN-13 978-0-7503-0520-4 / 9780750305204
Zustand Neuware
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