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

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arxiv 2006.02390 v3 pith:7AVMRXL2 submitted 2020-06-02 cond-mat.stat-mech cond-mat.other

Swati Mudra , Aniruddha Chakraborty This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.other
keywords solutionanalyticaldiffusionflatgaussianmethodpotentialsink
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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, which is used to derive an analytical expression for time average rate constant. Our solution can be used to analyze several related problems involving diffusion-reaction systems.

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