Statistical MechanicsInternational Series in Natural Philosophy, Volume 45: Statistical Mechanics discusses topics relevant to explaining the physical properties of matter in bulk. The book is comprised of 13 chapters that primarily focus on the equilibrium states of physical systems. Chapter 1 discusses the statistical basis of thermodynamics, and Chapter 2 covers the elements of ensemble theory. Chapters 3 and 4 tackle the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 reviews the theory of simple gases. Chapters 7 and 8 discuss the ideal Bose and Fermi systems. The book also covers the cluster expansion, pseudopotential, and quantized field methods. The theory of phase transitions and fluctuations are then discussed. The text will be of great use to researchers who wants to utilize statistical mechanics in their work. |
Contents
| 1 | |
| 9 | |
| 32 | |
Chapter 3 The Canonical Ensemble | 51 |
Chapter 4 The Grand Canonical Ensemble | 98 |
Chapter 5 Formulation of Quantum Statistics | 113 |
Chapter 6 The Theory of Simple Gases | 136 |
Chapter 7 Ideal Bose Systems | 175 |
The Method of Cluster Expansions | 255 |
The Method of Pseudopotentials | 300 |
The Method of Quantized Fields | 342 |
Chapter 12 Theory of Phase Transitions | 374 |
Chapter 13 Fluctuations | 443 |
APPENDIXES | 487 |
| 511 | |
| 521 | |
Other editions - View all
Common terms and phrases
Accordingly approximation atoms behavior Bose gas Bose–Einstein Bose–Einstein condensation bosons canonical ensemble classical coefficient condition constant coordinates corresponding denotes density derived determined distribution function dºr eigenvalues electron entropy equation equilibrium evaluate expansion expression factor Fermi gas fermions ferromagnet field fluctuations fluid formula free energy given system grand canonical ensemble grand partition function Hamiltonian helium hence ideal gas identically equal integral kinetic lattice limit liquid magnetic mean microstates molecules momentum motion number of particles obtain operator oscillator parameter phase space photons Phys physical system potential pressure problem properties pseudopotential QN(V quantity quantum quantum-mechanical relationship relevant result rotational single-particle ſº specific heat spectrum spin statistical mechanics summation superfluid theorem theory thermal thermodynamic total number two-body variable velocity virial virial coefficient volume vortex wave function whence it follows zero