## Nonequilibrium Statistical MechanicsThe present text offers a graduate level treatment of time dependent phenomena in condensed matter physics. Conventional ideas of linear response theory and kinetic theory are treated in detail. The general emphasis, however, in on the development of generalized Langevin equations for treating nonlinear behaviour in a wide variety of systems. A full treatment is given for the underpinnings of hydrodynamics for fluids. This is the third volume of a four volume set of texts by the same author, two of which have already been published ("Fluctuations, Order, and Defects" 0-471-32840-5, "Equilibrium Statistical Mechanics" 0-471-32839-1). While the preceding volume contains material that is a prerequisite for fully understanding the material presented here, this volume is self-contained and can stand alone from the preceding volume. |

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### Contents

Systems Out of Equilibrium | 1 |

TimeDependent Phenomena in CondensedMatter Systems | 19 |

General Properties of TimeCorrelation Functions | 63 |

Charged Transport | 101 |

Linearized Langevin and Hydrodynamical Description | 123 |

Hydrodynamic Spectrum of Normal Fluids | 175 |

Kinetic Theory | 205 |

Critical Phenomena and Broken Symmetry | 271 |

Nonlinear Systems | 299 |

Perturbation Theory and the Dynamic Renormalization Group | 343 |

Unstable Growth | 403 |

Nonequilibrium Statistical Mechanics Gene F Mazenko | 455 |

B Fluid Poisson Bracket Relations | 461 |

E Noise and the Nonlinear Langevin Equation | 467 |

471 | |

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### Common terms and phrases

approximation assume back into Eq behavior Boltzmann Boltzmann equation Chapter commutator components conserved continuity equation contribution correlation function coupling critical phenomena defined by Eq density matrix determine discussed dynamic critical effective Hamiltonian electric energy equal-time equation of motion equilibrium average evaluate example expression external field ferromagnet fluctuation function fluid Fourier transform frequency function is given Gaussian given by Eq Graphical Green-Kubo Hamiltonian hydrodynamic integral interaction isotropic kinetic equation Kubo Langevin equation Laplace transform lattice left to Problem linear response Liouville operator magnetization density memory function modes molecules neutron noise nonlinear obtain order parameter particles perturbation theory phase Phys Poisson brackets renormalization response function result satisfies scaling scattering second order shown in Fig slow variables spin Statistical Mechanics structure factor symmetry temperature theorem thermal time-correlation functions transport coefficient transverse vector velocity wavenumber write zero zeroth-order