Trapping Effects in Surface Diffusion
We consider the classical problem of particles diffusing on a lattice that contains a random distribution of static traps of low concentration. We use the known Donsker-Varadhan analytical solutions, which we modify for 2-D lattices, to get good agreement with very elaborate numerical results for the survival probability at finite times. This is done through the distribution of the number of distinct sites visited in the absence of traps. Our final formula is also of exponential form, in which the constants are derived from the numerical simulation data.
KeywordsRandom Walk Survival Probability Finite Time Exponential Form Static Trap
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