## Statistical Mechanics'This is an excellent book from which to learn the methods and results of statistical mechanics.' Nature 'A well written graduate-level text for scientists and engineers... Highly recommended for graduate-level libraries.' Choice This highly successful text, which first appeared in the year 1972 and has continued to be popular ever since, has now been brought up-to-date by incorporating the remarkable developments in the field of 'phase transitions and critical phenomena' that took place over the intervening years. This has been done by adding three new chapters (comprising over 150 pages and containing over 60 homework problems) which should enhance the usefulness of the book for both students and instructors. We trust that this classic text, which has been widely acclaimed for its clean derivations and clear explanations, will continue to provide further generations of students a sound training in the methods of statistical physics. |

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#### Review: Statistical Mechanics

User Review - Bahadur Singh - Goodreadsthis book is exceptionally good for studying the statistics Read full review

### Contents

Historical Introduction | 1 |

Chapter 1 The Statistical Basis of Thermodynamics | 9 |

Chapter 2 Elements of Ensemble Theory | 30 |

Chapter 3 The Canonical Ensemble | 43 |

Chapter 4 The Grand Canonical Ensemble | 90 |

Chapter 5 Formulation of Quantum Statistics | 104 |

Chapter 6 The Theory of Simple Gases | 127 |

Chapter 7 Ideal Bose Systems | 157 |

The Method of Quantized Fields | 262 |

Criticality Universality and Scaling | 305 |

Exact or Almost Exact Results for the Various Models | 366 |

The Renormalization Group Approach | 414 |

Chapter 14 Fluctuations | 452 |

Appendixes | 495 |

Bibliography | 513 |

523 | |

### Common terms and phrases

Accordingly approach approximation assume asymptotic atoms Bose gas Bose–Einstein Bose–Einstein condensation canonical ensemble chemical potential classical coefficient constant coordinates corresponding cosh critical exponents critical point denotes density derived determined distribution eigenvalues electron entropy equal equation equilibrium evaluate expansion expression factor Fermi gas fermions finite fluctuations fluid formula free energy given by eqn given system grand canonical ensemble Hamiltonian hence ideal Bose gas identical integral interaction Ising model kinetic lattice limit liquid low temperatures magnetic mean field mean field theory microstates molecules momentum nearest-neighbor number of particles obtain oscillator parameter partition function phase space phase transition photons Phys physical system problem quantity quantum quantum-mechanical relation relevant result Show single-particle specific heat spectrum spherical model spins summation superfluid theorem theory thermal thermodynamic total number variable velocity virial volume wave function zero