THE FOKKER-PLANCK OPERATOR AS AN ASYMPTOTIC LIMIT
- 1 March 1992
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences
- Vol. 02 (01) , 21-36
- https://doi.org/10.1142/s021820259200003x
Abstract
It is shown that the Fokker-Planck operator describing a highly peaked scattering process in the linear transport equation is a formal asymptotic limit of the exact integral operator. It is also shown that such peaking is a necessary, but not sufficient, condition for the Fokker-Planck operator to be a legitimate description of such scattering. In particular, the widely used Henyey-Greenstein scattering kernel does not possess a Fokker-Planck limit.Keywords
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