Transitions between wells and escape by diffusion in a one-dimensional potential landscape |
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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 time-dependence of the occupation probabilities of neighboring wells due to diffusion in one dimension is formulated in terms of a set of generalized rate equations describing transitions between neighboring wells and escape across a final barrier. The equations contain rate coefficients, memory coefficients, and a long-time coefficient characterizing the amplitude of long-time decay. On a more microscopic level the stochastic process is described by a Smoluchowski equation for the one-dimensional probability distribution. A numerical procedure is presented which allows calculation of the transport coefficients in the set of generalized rate equations on the basis of the Smoluchowski equation. |
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Keywords: | 82.20.Db 82.20.Uv 44.05+e 73.40.Ty |
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