Diffusion and convection after escape from a potential well |
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Authors: | B.U. Felderhof |
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Affiliation: | Institut für Theoretische Physik A, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany |
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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. |
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Keywords: | 82.20.Db 82.20.Uv 44.05+e 73.40.Ty |
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