TIME DECAY OF EXCITATIONS AT QUASI-ONE-DIMENSIONAL TRAPPING

The survival probability of a particle that performs a quasi-one- dimensional random walk on a lattice with randomly distributed traps is considered. The derivations are based on the approximation of weak transitions between one-dimensional chains where detailed results on the survival probability are available, neglecting returns to the same chain. It is shown that calculated curves of the survival probability coincide rather well with data of Monte Carlo simulation at times t1/2, where 2 is the degree of quasi-one-dimensionality. © 1994 The American Physical Society.