Abstract: A first-passage-time-distribution (FPTD) approach is developed to investigate the survival and derived properties of a random walker in discrete lattices with a static trap gauged by a general gating mechanism. This approach is effective since the FPTD is directly related to the survival probability distribution of the walker. The random walk is allowed to be undertaken under any potential fields, such as an electric field. We find the gated FPTD can be exactly expressed in terms of its corresponding ungated FPTD in any dimension. Hence, the su...
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Topics: 
Statistical physics