Exact Solution for Diffusion in a Random Potential
- 21 November 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 61 (21) , 2405-2408
- https://doi.org/10.1103/physrevlett.61.2405
Abstract
An analytical solution for one-dimensional diffusion in a Gaussian random potential is presented. In the long-time limit, the logarithm of the average population at the center, , grows as fast as , disproving some former estimates that increases at the rate of . Numerical simulations have confirmed the theoretical solution.
Keywords
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