Phase-space diffusion in a system with a partially permeable wall

Tadeusz Kosztołowicz · Journal of Physics A Mathematical and General · 1998

A new boundary condition for a diffusive system with a partially permeable wall described by the Klein-Kramers equation is proposed. The Green functions for such a system are given and a generalization to the system with a series of walls is briefly discussed. It is shown that the well known boundary condition for the case of a partially absorbing wall (which gives the so-called radiation boundary condition for the diffusion equation) cannot be used for the system under consideration.

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