## Lectures Given at the Cargèse Summer School of Theoretical Physics, Volume 1 |

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### Contents

Some Exact Results in the Theory of Fluids by Joel | 3 |

Functional Derivative Expressions for the Corre | 9 |

Upper and Lower Bounds on the Distributions | 15 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

analytic approximation assume average Bogolubov Boltzmann equation calculated canonical classical coexistence line compute condition configuration consider correlation function corresponding critical point defined density dependence diagram dilute gas discussed distribution function dynamical energy ensemble equilibrium expression external field f(rv\nuT finite fluctuation fluctuation dissipation theorem force formal formula Fourier components Fourier transform fugacity functional derivative gases given grand partition function Hamiltonian hierarchy equation hydrodynamic equations inhomogeneous initial integral equation interaction introduce kinetic l'equation lattice lectures Lennard-Jones potential linear Liouville equation Liouville operator macroscopic matrix element method molecular molecules non-vanishing number of particles obtain operator Ornstein-Zernicke Percus-Yevick equation phase space phase transition Phys physical potentiel pressure tensor problem properties quantities quantum real axis relation result singularities solution spatially homogeneous statistical mechanics temperature theorem theory thermal thermodynamic transport coefficients transport equation variables vector velocity virial viscosity zero