Universal equivalence of mean first-passage time and Kramers rate

Authors
Reimann, P Schmid, GJ Hanggi, P
Citation
P. Reimann et al., Universal equivalence of mean first-passage time and Kramers rate, PHYS REV E, 60(1), 1999, pp. R1-R4
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
1
Year of publication
1999
Pages
R1 - R4
Database
ISI
SICI code
1063-651X(199907)60:1<R1:UEOMFT>2.0.ZU;2-Q
Abstract
We prove that for an arbitrary time-homogeneous stochastic process,Kramers' s flux-over-population rate is identical to the inverse of the associated m ean first-passage time. In this way the mean first-passage time problem can be treated without making use of the adjoint equation in conjunction with cumbersome boundary conditions. [S1063-651X(99)50307-3].