Abstract
The survival probability of a random walk of steps with static traps at concentration 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 plotted vs [with ], in two dimensions, and for vs in three dimensions. These predictions are well supported by the Monte Carlo results.
- Received 8 May 2001
DOI:https://doi.org/10.1103/PhysRevLett.87.170601
©2001 American Physical Society