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Scattering of particles by circular obstacles. (Diffusion de particules par un réseau d’obstacles circulaires.) (French. Abridged English version) Zbl 0762.76093

Summary: Consider the 2D motion of point particles in a periodic array of circular obstacles. Particles do not interact between themselves but bounce off the boundary of the scatterers according to a law of diffuse reflection. Assume that the array of obstacles has finite horizon. Then, the large time, large scale behaviour of the numerical density of particles approaches that of the solution of a diffusion equation (provided that the time-scale is proportional to the square of the space scale). The proof relies on multiscale asymptotic expansions “à la Bensoussan- Lions-Papanicolaou” [. An error estimate is provided.

MSC:

76R50 Diffusion
82C70 Transport processes in time-dependent statistical mechanics

Citations:

Zbl 0404.35001
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