Reduction of the Fokker-Planck Equation with an Absorbing or Reflecting Boundary to the Diffusion Equation and the Radiation Boundary Condition
- 2 August 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (5), 304-307
- https://doi.org/10.1103/physrevlett.49.304
Abstract
It is shown, from microscopic considerations based on the Fokker-Planck equation, that the boundary condition (used in conjunction with the diffusion equation) in which the particle density is set to zero on a perfectly absorbing surface is untenable, and, for the first time, the boundary condition for any plane (partially or perfectly) absorbing surface is derived.Keywords
This publication has 8 references indexed in Scilit:
- Steady, one-dimensional Brownian motion with an absorbing boundaryThe Journal of Chemical Physics, 1981
- The kinetic boundary layer for the Fokker-Planck equation with absorbing boundaryJournal of Statistical Physics, 1981
- Theoretical Treatment of the Kinetics of Diffusion-Limited ReactionsPhysical Review B, 1957
- Diffusion-controlled reaction ratesJournal of Colloid Science, 1949
- Note on the Spherical Harmonic Method As Applied to the Milne Problem for a SpherePhysical Review B, 1947
- On the Theory of the Brownian Motion IIReviews of Modern Physics, 1945
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Brownian motion in a field of force and the diffusion model of chemical reactionsPhysica, 1940