Statistical Mechanics: International Series of Monographs in Natural PhilosophyStatistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering. |
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 | |
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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 derived determined distribution function eigenvalues electron entropy equation equilibrium equipartition theorem 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 interparticle interactions kinetic lattice limit liquid magnetic matrix mean microstates molecules momentum motion noninteracting number of particles obtain operator oscillator parameter phase space phase transition photons Phys physical system potential pressure problem properties pseudopotential quantity quantum quantum-mechanical region relationship relevant result rotational single-particle specific heat spectrum spin statistical mechanics Substituting summation superfluid theorem theory thermal thermodynamic total number two-body variable velocity virial virial coefficient volume vortex wave function whence it follows zero