## Non-Equilibrium Thermodynamics in Multiphase FlowsNon-equilibrium thermodynamics is a general framework that allows the macroscopic description of irreversible processes. This book introduces non-equilibrium thermodynamics and its applications to the rheology of multiphase flows. The subject is relevant to graduate students in chemical and mechanical engineering, physics and material science. “The style of the book is mathematical, but nonetheless it remains very readable and anchored in the physical world rather than becoming too abstract. Though it is up-to-date and includes recent important developments, there is a lot of classical material in the book, albeit presented with unprecedented clarity and coherence. The first six chapters are actually a very good introduction to the theory underlying many phenomena in soft matter physics, beyond the focus on flow and transport of the later chapters of the book.” |

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### Contents

1 | |

Microscopic Reversibility | 13 |

Langevin Equation | 25 |

FokkerPlanck Equation | 34 |

Stochastic Differential Calculus | 49 |

Path Integrals | 61 |

Balance Equations | 73 |

Constitutive Relations | 87 |

Review of Probability Distribution | 180 |

Review of Statistical Thermodynamics | 187 |

Principle of Causality | 197 |

Review of Analytical Mechanics | 203 |

Microscopic Balance Equations | 216 |

Some Results of Transport Phenomena | 223 |

Solutions of the Problems | 245 |

265 | |