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- W2232302685 abstract "A long-standing open problem in statistical mechanics is the derivation of the Boltzmann equation from a Hamiltonian system. As a special example of such a system, consider the {it hard sphere model.} in which there are $N$ spheres of diameter $epsilon$ that travel according to their velocities and collide elastically. In a Boltzmann-Grad limit, we send $Ntoinfty$, $epsilonto 0$ in such a way that $Nepsilon^{d -1}to Z$ where $Z$ is a positive finite number. If $f(x,v,t)$ denotes the density of the particles of velocity $v$, then $f$ satisfies the Boltzmann equation. I will discuss several variants of the hard sphere model and state some conjectures." @default.
- W2232302685 created "2016-06-24" @default.
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- W2232302685 date "2004-11-16" @default.
- W2232302685 modified "2023-09-24" @default.
- W2232302685 title "Kinetic Limit for Interacting Particle Systems" @default.
- W2232302685 hasPublicationYear "2004" @default.
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