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Random walks on a flat lattice with traps

G. V. Ryazanov


Abstract: An asymptotic expression (for large times) is obtained for the propagation function of a particle that wanders on a two-dimensional lattice with random traps . The density of traps is assumed low but perturbation theory cannot be applied because of the nonanalytic dependence of the absorption coefficient on the trap density.

Received: 22.04.1971

 English version: Theoretical and Mathematical Physics, 1972, 10:2, 181–183