CiNii Books - Statistical mechanics : fundamentals and model solutions

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.

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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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Statistical mechanics : fundamentals and model solutions

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