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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R. J. Rubin and G. H. Weiss,J. Math. Phys. 23:250 (1982).
K. Lakatos-Lindenberg and K. E. Shuler,J. Math. Phys. 12:633 (1971).
A. Erdelyi, ed.,Higher Transcendental Functions, Vol.2 (McGraw-Hill, New York, 1953), p. 186.
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Rubin, R.J. One-dimensional non-nearest-neighbor random walks in the presence of traps. J Stat Phys 65, 1207–1216 (1991). https://doi.org/10.1007/BF01049607
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DOI: https://doi.org/10.1007/BF01049607