PARTIAL AND RANDOM LATTICE COVERING TIMES IN 2 DIMENSIONS

Authors
COUTINHO KR COUTINHO MD GOMES MAF NEMIROVSKY AM
Citation
Kr. Coutinho et al., PARTIAL AND RANDOM LATTICE COVERING TIMES IN 2 DIMENSIONS, Physical review letters, 72(24), 1994, pp. 3745-3749
Citations number
20
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
72
Issue
24
Year of publication
1994
Pages
3745 - 3749
Database
ISI
SICI code
0031-9007(1994)72:24<3745:PARLCT>2.0.ZU;2-U
Abstract
The problems of the partial covering time (PCT) and of the random cove ring time (RCT) are studied in two dimensions using Monte Carlo simula tions. We find that the PCT (RCT) presents a discontinuous transition at f = 1 (f = 0), where f is the fraction of visited sites by a random walker. An analysis of the time evolution of the surviving unvisited clusters reveals that they exhibit a time-dependent fractal-like struc ture.