A Singular Perturbation Approach to Kramers’ Diffusion Problem

DOI10.1137/0142058zbMath0494.76090OpenAlexW2083438625MaRDI QIDQ3958181

Zeev Schuss, Eshel Ben-Jacob, Bernard J. Matkowsky

Publication date: 1982

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0142058

zbMATH Keywords

Langevin equationFokker-Plank equationrandom collisionsmean exit timesingular perturbation typediffusion model for chemical reactionsdiffusion potential holeDynkin's elliptic boundary value problemprobability of escape of particle initially caught in potential holesharp barriersmooth barrierwhite noise type stochastic force

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Applications of quantum theory to specific physical systems (81V99) Diffusion and convection (76R99)

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