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Diffusion and convection after escape from a potential well

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  • Felderhof, B.U.

Abstract

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.

Suggested Citation

  • Felderhof, B.U., 2009. "Diffusion and convection after escape from a potential well," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1388-1398.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:8:p:1388-1398
    DOI: 10.1016/j.physa.2008.12.047
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    Keywords

    Diffusion; Convection; Escape;
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