The diffusion limit of free molecular flow in thin plane channels.

Börgers, Christoph.

Greengard, C. (Claude)

Thomann, Enrique.


  • The subject of this paper is free molecular flow in thin channels bounded by parallel plane surfaces on which Maxwell's boundary condition applies. With tools from probability theory, it is proved that in the limit as the domain width h tends to zero, the evolution of the density is described by a diffusion equation, on a timescale of 1/(h log h-1), and with a diffusion coefficient of (2-α)√T/(2α√π) ... read more
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  • C. Börgers, C. Greengard, and E. Thomann, "The Diffusion Limit of Free Molecular Flow in Thin Plane Channels," SIAM Journal on Applied Mathematics, vol. 52, no. 4, pp. 1057-1075, Aug. 1992. doi: 10.1137/0152062.
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