Statistical MechanicsStatistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics.
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Contents
1 | |
25 | |
39 | |
Chapter 4 The Grand Canonical Ensemble | 91 |
Chapter 5 Formulation of Quantum Statistics | 115 |
Chapter 6 The Theory of Simple Gases | 141 |
Chapter 7 Ideal Bose Systems | 179 |
Chapter 8 Ideal Fermi Systems | 231 |
The Method of Quantized Fields | 345 |
Criticality Universality and Scaling | 401 |
Exact or Almost Exact Results for Various Models | 471 |
The Renormalization Group Approach | 539 |
Chapter 15 Fluctuations and Nonequilibrium Statistical Mechanics | 583 |
Chapter 16 Computer Simulations | 637 |
Appendices | 653 |
687 | |