✦ LIBER ✦

Diffusion and convection after escape from a potential well

✍ Scribed by B.U. Felderhof

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 778 KB
Volume: 388
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2008.12.047

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✦ Synopsis

The escape by diffusion of a particle from a potential well in one dimension is strongly influenced by the application of a field in the adjacent half-space. At long times the probability distribution becomes a uniformly moving and steadily broadening gaussian in this half-space. The mean time of escape from the well is given by a simple expression in terms of the mean first passage time and the coefficient of the long-time tail in the occupation probability of the well in the absence of the field. Transient effects in space and time are studied in explicit form for a parabolic potential well.

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