Variational theory of activated rate processes for an arbitrary barrier

Autor:	Alexander N. Drozdov
Rok vydání:	2000
Předmět:	Classical mechanics Bistability Quartic function Particle Limit (mathematics) Expression (computer science) Perturbation method Eigenvalues and eigenvectors Brownian motion Mathematics
Zdroj:	Physical Review E. 62:1879-1892
ISSN:	1095-3787 1063-651X
DOI:	10.1103/physreve.62.1879
Popis:	The thermally activated escape of a Brownian particle over a smooth barrier of arbitrary shape and height is considered as an eigenproblem of the Fokker-Planck equation. For the case of moderate and large friction, the least nonzero eigenvalue of this equation is found via a Rayleigh-quotient-based perturbation method. A comparison with existing variational approaches and from numerical simulations for bistable potentials with parabolic and quartic barriers shows that the proposed expression gives unprecedentedly accurate results at all barrier heights including the limit of vanishingly low barrier.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c817ec7d04a653df0909848cea441dd8 https://doi.org/10.1103/physreve.62.1879 Zobrazit plný text záznamu