## Statistical Mechanics: An Intermediate CourseThis book covers the foundations of classical thermodynamics, with emphasis on the use of differential forms of classical and quantum statistical mechanics, and also on the foundational aspects. In both contexts, a number of applications are considered in detail, such as the general theory of response, correlations and fluctuations, and classical and quantum spin systems. In the quantum case, a self-contained introduction to path integral methods is given. In addition, the book discusses phase transitions and critical phenomena, with applications to the Landau theory and to the Ginzburg-Landau theory of superconductivity, and also to the phenomenon of Bose condensation and of superfluidity. Finally, there is a careful discussion on the use of the renormalization group in the study of critical phenomena. |

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### Contents

Preface | 1 |

251 | 26 |

Integrability Conditions | 48 |

2A Harmonic Oscillators Ergodicity | 149 |

2C DensityDensity Correlation Function of a Perfect Gas | 155 |

Classical | 163 |

3A Poisson Description of Spin Dynamics | 217 |

Problems | 226 |

Phase Transitions and Critical Phenomena | 385 |

Model Systems Scaling Laws and Mean Field | 413 |

Problems | 473 |

Problems | 520 |

Problems | 578 |

Appendix B Mathematical Digression | 597 |

Appendix C | 627 |

Eigenvalue and Eigenvector Problems for Non | 631 |

### Other editions - View all

Statistical Mechanics: An Intermediate Course Second Edition G Morandi,E Ercolessi,F Napoli Limited preview - 2001 |

### Common terms and phrases

according action actually algebra associated assume average becomes boundary called canonical classical complete connected consider constant coordinates correlation functions corresponding coupling course critical defined definition denote density depend derivatives determined differential discussion distribution dynamical energy ensemble entropy equation equilibrium equivalent evaluated example exists expansion external fact factor field finite fixed free energy given Hamiltonian Heisenberg hence identity implies independent integral interacting invariant Ising latter lattice leads Let's limit linear magnetic matrix mean measure namely normal Note observables obtain operator order parameter particle partition function phase physical potential precisely Problem proof prove quantum Quantum Mechanics relation Remark result scaling simple solution space spin static surface symmetry temperature theorem theory thermodynamic limit transformation transition turn vanishing variables vector volume zero