Universal character of escape kinetics from finite intervals

Bibliographic description

punktacja MNiSW [2010 A]: 20

title:	Universal character of escape kinetics from finite intervals
author:	Dybiec Bartłomiej
Journal title:	Acta Physica Polonica. B
Title of volume:	XXII Marian Smoluchowski Symposium on Statistical Physics
volume:	41
issue:	5
date of publication:	2010
pages:	1127-1134
ISSN:	0587-4254
eISSN:	1509-5770
URL:	http://www.actaphys.uj.edu.pl/fulltext?series=Reg&vol=41&page=1127
date accessed:	2018-04-13
language:	English
Journal language:	English
abstract in english:	We study a motion of an anomalous random walker on finite intervals restricted by two absorbing boundaries. The competition between anomalously long jumps and long waiting times leads to a very general kind of behavior. Trapping events distributed according to the power-law distribution result in occurrence of the Mittag–Leffler decay pattern which in turn is responsible for universal asymptotic properties of escape kinetics. The presence of long jumps which can be distributed according to non-symmetric heavy tailed distributions does not affect asymptotic properties of the survival probability. Therefore, the probability of finding a random walker within a domain of motion decays asymptotically according to the universal pattern derived from the Mittag–Leffler function, which describes decay of single modes in subdiffusive dynamics.
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
type:	journal article
subtype:	academic paper