title: Diffusion with random distribution of static traps.
abstract: The survival probability P(c,t) of a random walk of t steps with static traps at concentration c is studied in two and three dimensions by an efficient Monte Carlo method based on a mapping onto a polymer model. On the basis of the theoretical work of Donsker and Varadhan [Commun. Pure Appl. Math. 28, 525 (1975); 32, 721 (1979)] and of Rosenstock [J. Math. Phys. (N.Y.) 11, 487 (1970)] one expects a data collapse for -ln[P(c,t)]/ln(t) plotted vs square root of [lambda t]/ln(t) [with lambda = -ln(1-c)], in two dimensions, and for -t(-1/3)ln[P(c,t)] vs t(2/3)lambda in three dimensions. These predictions are well supported by the Monte Carlo results.
authors.affiliation: Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands.
authors.forename: G T
authors.initials: GT
authors.lastname: Barkema
authors.forename: P
authors.initials: P
authors.lastname: Biswas
authors.forename: H
authors.initials: H
authors.lastname: van Beijeren