Diffusion with random traps: Transient one-dimensional kinetics in a linear potential |
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Authors: | Noam Agmon |
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Affiliation: | (1) Department of Physical Chemistry, The Hebrew University, 91904 Jerusalem, Israel |
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Abstract: | The problem of one-dimensional diffusion with random traps is solved without and with a constant field of force. Using an eigenvalue expansion for long times and the method of images for short times we give an exact, straightforward solution for the time dependence of the mean survival probability and the mean probability density for returning to the origin. Using the backward equation approach, we determine the mean survival time and the mean residence time density at the origin. We comment on the relation between these solutions and those for one-dimensional diffusion with random reflectors. |
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Keywords: | Diffusion random traps random reflectors survival probability mean survival, residence and relaxation times method of images |
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