Statistical Mechanics
Author: Avijit Lahiri
Publisher: Universities Press
Contents:
INTRODUCTION:
Getting Launched from Classical Mechanics: A Preview of Statistical Mechanics; Quantum Mechanics: Elementary Notions; Quantum Mechanics: Illustrations; Statistical Mechanics: The First Fundamental Postulate; The Entropy Postulate; The Programme of Equilibrium Statistical Mechanics; Appendix to Chapter 1: More on the Fundamental Postulates
THE MICROCANONICAL ENSEMBLE AND ITS APPLICATIONS:
Stirling’s Approximation; System of Non-Interacting Spins; Einstein’s Theory of Crystalline Specific Heat; Systems of Identical Particles; State Counting for Bosons and Fermions; The Ideal Gas; The Classical Ideal Gas: Semiclassical State Counting
THE CANONICAL AND THE GRAND CANONICAL ENSEMBLES:
Introducing the Canonical Ensemble; Probability Distribution in the Canonical Ensemble; Thermodynamic Quantities in the Canonical Ensemble; Energy Dispersion in the Canonical Ensemble; Statistical Mechanics of Large System: Recapitulation; The Grand Canonical Ensemble: Introduction; Probability Distribution in the Grand Canonical Ensemble; Thermodynamic Functions in the Grand Canonical Ensemble; Entropy as ‘Disorder’; Evolution Towards Maximal Disorder; Appendices to Chapter 3
STATISTICAL MECHANICS: SIMPLE APPLICATIONS:
A Single Harmonic Oscillator at Temperature T; A System of Distinct Non-Interacting Constituents at Temperatures T; Semiclassical Statistical Mechanics in the Canonical Ensemble and Applications; The vibrating Lattice: Specific Heat at Low Temperatures; Black Body Radiation: Plank’s Formula; Paramagnetic Susceptibility; Ideal Fermi and Bose Gases in the Grand Canonical Ensemble; Quantum Virial Expansion for the Ideal Gas; The ‘Electron Gas’ in a Conductor; Bose Condensation; Ferromagnetic Behaviour and the Using Model; Gas with Weakly Interacting Molecules: Deviation from Ideality
References
Index
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