One-dimensional non-nearest-neighbor random walks in the presence of traps |
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Authors: | Robert J. Rubin |
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Affiliation: | (1) Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, 20892 Bethesda, Maryland |
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Abstract: | A one-dimensional lattice random walk in the presence ofm equally spaced traps is considered. The step length distribution is a symmetric exponential. An explicit analytic expression is obtained for the probability that the random walk will be trapped at thejth trapping site. |
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Keywords: | One-dimensional random walk non-nearest-neighbor step distribution traps, conditioned first passage time generating functions |
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