Universität zu Köln

Schultens, Christoph, Schadschneider, Andreas ORCID: 0000-0002-2054-7973 and Arita, Chikashi (2015). Effective ergodicity breaking in an exclusion process with varying system length. Physica A, 433. S. 100 - 107. AMSTERDAM: ELSEVIER. ISSN 1873-2119

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Abstract

Stochastic processes of interacting particles in systems with varying length are relevant e.g. for several biological applications. We try to explore what kind of new physical effects one can expect in such systems. As an example, we extend the exclusive queueing process that can be viewed as a one-dimensional exclusion process with varying length, by introducing Langmuir kinetics. This process can be interpreted as an effective model for a queue that interacts with other queues by allowing incoming and leaving of customers in the bulk. We find surprising indications for breaking of ergodicity in a certain parameter regime, where the asymptotic growth behavior depends on the initial length. We show that a random walk with site-dependent hopping probabilities exhibits qualitatively the same behavior. (C) 2015 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Schultens, Christoph UNSPECIFIED UNSPECIFIED UNSPECIFIED Schadschneider, Andreas UNSPECIFIED orcid.org/0000-0002-2054-7973 UNSPECIFIED Arita, Chikashi UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-396104
DOI:	10.1016/j.physa.2015.03.068
Journal or Publication Title:	Physica A
Volume:	433
Page Range:	S. 100 - 107
Date:	2015
Publisher:	ELSEVIER
Place of Publication:	AMSTERDAM
ISSN:	1873-2119
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/39610