Statistical mechanics : fundamentals and model solutions
著者
書誌事項
Statistical mechanics : fundamentals and model solutions
Institute of Physics Pub., c1999
- : hbk
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Statistical Mechanics: Fundamentals and Model Solutions is a textbook on equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics.
目次
THERMODYNAMICS
The Zeroth law
The First law
Differentials
The Second law
Thermal engines and refrigerators
The fundamental equation
Convexity
Thermodynamic potentials
Phase transitions
Magnetism
The refrigerator and liquifaction of gases
Examples of phase transitions
Equations of state for solids
Applications in chemistry
Black-body radiation
The Big Bang
The constitution of stars
Problems
FUNDAMENTALS OF STATISTICAL MECHANICS
Quantum mechanics
Noninteracting localized spins
Large deviation theory
The paramagnet revisited
Identical localized free particles
Quantum gases
Ensembles
Existence of thermodynamic limit
Large deviations for the energy density
Problems
MODELS IN STATISTICAL MECHANICS
A simple model for rubber
A Ising model
The mean-field Weiss-Ising model
The mean-field lattice gas
Metals and the electron gas
White dwarf stars
Phonons
Boson condensation and liquid helium
Superconductivity
Problems
APPENDICES
FURTHER READING AND REFERENCES
ANSWERS TO THE PROBLEMS
INDEX
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