## Statistical Physics of ParticlesStatistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group. |

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Excellent grad level book. The book covers quantum statistical mechanics: ideal bose and fermi gas extensively.

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Concise, elegant formulation all over. I used it (to study mainly quantum statistical mechanics portion. David Tong's note accompanied it.) as an undergraduate student. It is too brief in positions like Bose-Einstein condensation. Starting of canonical formulation part is inelegant I would say (c.f.- Feynman (ISBN 081334610X, 9780813346106), Greiner (ISBN 3540942998, 9783540942993)).

### Contents

2 | |

Problems | 29 |

Probability | 35 |

Problems | 52 |

Problems | 87 |

Problems | 120 |

Problems | 148 |

Problems | 175 |

Problems 202 | 211 |

Chapter 2 | 224 |

Chapter 4 | 256 |

Chapter 6 | 285 |

Chapter 7 | 300 |

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### Common terms and phrases

2mkBT adiabatic approximation atoms average behavior black hole Boltzmann equation Bose–Einstein condensation bosons Calculate canonical ensemble Carnot engine chemical potential classical condensation conserved constant constraint coordinates corresponding Coulomb cumulants degrees of freedom described electrons entropy equilibrium example expansion expectation value expression fermi fermions finite free energy given grand canonical ensemble Hamiltonian heat capacity Hence ideal gas identical particles independent integral interactions internal energy isotherms kinetic energy leads limit liquid low temperatures macroscopic magnetic matrix microcanonical ensemble microstates modes molecules momenta momentum NkBT non-interacting normal number of particles obtained occupation numbers one-particle oscillator parameters partition function phase space phonons potential energy pressure probability density quantum mechanical random variable result scale Show solution spin statistical mechanics surfactant theorem thermal thermodynamic velocity virial Waals zero

### Popular passages

Page 9 - No process is possible whose sole result is the transfer of heat from a cooler to a hotter body.

Page 5 - SW) depends only on the initial and final states and not on the path followed between the two states.