A simple calculation for the average number of steps to trapping in lattice random walks |
| |
Authors: | Kurt E. Shuler Howard Silver Katja Lindenberg |
| |
Affiliation: | (1) Department of Chemistry, University of California-San Diego, La Jolla, California;(2) Present address: Control Data Australia Pty. Limited, 598 St. Kilda Road, 3004 Melbourne, Australia |
| |
Abstract: | We show that the asymptotic results for the average number of steps to trapping at an irreversible trapping site on aD-dimensional finite lattice can be obtained from the generating function for random walks on aninfinite perfect lattice. This introduces a significant simplification into such calculations. An interesting corollary of these calculations is the conclusion that a random walker traverses, on the average, all the distinct nontrapping lattice sites before arriving on the trapping site.This work was supported in part by NSF Grants MPS72-04363-A03 and CHE75-20624. |
| |
Keywords: | Random walk steps to trapping lattice walk |
本文献已被 SpringerLink 等数据库收录! |