کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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977893 | 933220 | 2008 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Diffusion in a bistable potential Diffusion in a bistable potential](/preview/png/977893.png)
The problem of diffusion of a particle in a bistable potential is studied on the basis of the one-dimensional Smoluchowski equation for the space- and time-dependent probability distribution. The potential is modeled as two parabolic wells separated by a parabolic barrier. For the model potential the Smoluchowski equation is solved exactly by a Laplace transform with respect to time for the initial condition that at time zero the probability distribution is given by a thermal equilibrium distribution in one of the wells. In the limit of a high barrier the rate of transition to the other well is given by an asymptotic result due to Kramers. For a potential barrier of moderate height there are significant corrections to the asymptotic result.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 21, 1 September 2008, Pages 5017–5023