## Mathematical foundations of statistical mechanicsThis book includes - Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. |

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### Contents

Preface | 1 |

Geometry and Kinematics of the Phase Space | 13 |

Ergodic Problem | 44 |

Copyright | |

7 other sections not shown

### Other editions - View all

Mathematical Foundations of Statistical Mechanics Aleksandr I?Akovlevich Khinchin Limited preview - 1949 |

Mathematical Foundations of Statistical Mechanics Aleksandr I?Akovlevich Khinchin Limited preview - 1949 |

### Common terms and phrases

_ d log approximate expression arbitrary argument assume asymptotic formulas Birkhoff canonical distribution central limit theorem chapter characteristic functions conjugate distribution consider constant energy corresponding cules d2 log definition degrees of freedom denote depend derived determined dispersion distribution law dynamic coordinates entropy equal equipartition of energy ergodic problem external parameters fact func fundamental given surface given system grad Hamiltonian ideal gas integral interaction interval invariant isolated system large number log2 logarithmic derivative mathematical expectation mean value measure mechanical system method metric indecomposability natural motion number of molecules obtain particles particular phase averages phase function phase space physical quantity physical system ponents positive probability density proof prove random quantities real number represents selected molecule set of points small component statistical mechanics structure function sum functions summable function surface of constant system G temperature theory of probability tion total energy trajectory variables volume zero