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arXiv:2006.02390 [cond-mat.stat-mech]AbstractReferencesReviewsResources

Analytical solution of diffusion probability for a flat potential with a gaussian sink

Swati Mudra, Aniruddha Chakraborty

Published 2020-06-02Version 1

We give a very simple method for finding the exact analytical solution for the problem of a particle undergoing diffusive motion on a flat potential in the presence of a gaussian sink function. The diffusion process is modelled by using one dimensional Smoluchowski equation. Our method provides solution in Laplace domain. Our solution can be used to analyze several related problems involving diffusion-reaction systems.

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