## Kinetic Theory and Transport PhenomenaOne of the questions about which humanity has often wondered is the arrow of time. Why does temporal evolution seem irreversible? That is, we often see objects break into pieces, but we never see them reconstitute spontaneously. This observation was first put into scientific terms by the so-called second law of thermodynamics: entropy never decreases. However, this law does not explain the origin of irreversibly; it only quantifies it. Kinetic theory gives a consistent explanation of irreversibility based on a statistical description of the motion of electrons, atoms, and molecules. The concepts of kinetic theory have been applied to innumerable situations including electronics, the production of particles in the early universe, the dynamics of astrophysical plasmas, quantum gases or the motion of small microorganisms in water, with excellent quantitative agreement. This book presents the fundamentals of kinetic theory, considering classical paradigmatic examples as well as modern applications. It covers the most important systems where kinetic theory is applied, explaining their major features. The text is balanced between exploring the fundamental concepts of kinetic theory (irreversibility, transport processes, separation of time scales, conservations, coarse graining, distribution functions, etc.) and the results and predictions of the theory, where the relevant properties of different systems are computed. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

2 Distribution functions | 15 |

3 The Lorentz model for the classical transport of charges | 39 |

4 The Boltzmann equation for dilute gases | 63 |

5 Brownian motion | 95 |

6 Plasmas and selfgravitating systems | 115 |

7 Quantum gases | 143 |

8 Quantum electronic transport in solids | 169 |

9 Semiconductors and interband transitions | 199 |

### Other editions - View all

### Common terms and phrases

analysis applied approximation associated atoms average band Boltzmann called Chapter charge classical coefficient collision complex compute conductivity conservation consider constant defined density depends derive described detail diffusion direction distribution function dynamics effect eigenvalue electrons energy equal equilibrium evolution example Exercise expression external factor field Finally finite flux force gases given gives H-theorem hard sphere Hence implies initial integral interactions ions kinetic equation limit linear mass Maxwellian mean free mechanics method molecules momentum motion moving normal Note obtained operator particles path perturbation phase phonons physics plasma positive possible potential present processes properties quantum relation relaxation result scale scattering shown side solution space temperature tensor term theory thermal tion transition transport vanishing vector velocity volume wavevector write