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Titlebook: Large Scale Dynamics of Interacting Particles; Herbert Spohn Book 1991 Springer-Verlag Berlin Heidelberg 1991 Boltzmann equation.Brownian

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978-3-642-84373-0Springer-Verlag Berlin Heidelberg 1991
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Dynamicshrough a short range central potential. They may be confined to a container. We have to introduce the dynamical laws governing the time evolution, paying particular attention to the case of hard spheres and to boundary conditions.
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Book 1991rential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.
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The Hydrodynamic LimitThe microscopic time scale is of the order mean distance between particles/mean velocity of particles.
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Low Density Limit: The Boltzmann EquationWe consider a low density gas and its description by means of the Boltzmann equation. This topic will be covered at considerable detail, simply because (at least at present) it is one of the most beautiful examples for the emergence of an autonomous large scale dynamics which can be studied with mathematical rigor and at great depth.
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