TRAPPING OF BROWNIAN PARTICLES BY RANDOM TRAPS - DESTRUCTION OF THE FLUCTUATION SLOW-DOWN

The trapping of Brownian particles wandering among random traps occurs more slowly than is predicted by the von Smoluchowski theory. The slo w-down is most pronounced at long times. Quasi-one-dimensional materia ls seem to be the best candidate for experimental observation of the s low-down. We show that highly infrequent interchain jumps make the kin etics at long times quite different from those obtained on the basis o f a purely one-dimensional model. The slow-down may be observed in qua si-one-dimensional materials as intermediate asymptotic behaviour only if the time scale associated with the interchain jumps is long enough .