Universität zu Köln

Medenjak, Marko, Popkov, Vladislav, Prosen, Tomaz, Ragoucy, Eric and Vanicat, Matthieu (2019). Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state. SciPost Phys., 6 (6). AMSTERDAM: SCIPOST FOUNDATION. ISSN 2542-4653

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Abstract

In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial value problem, corresponding to the inhomogeneous quench and the local quench. Our main result is an exact matrix product expression of the time evolution of the probability distribution, which we use to determine the time evolution of the density profiles analytically. In the second part we study the model on a finite lattice coupled with stochastic boundaries. Once again we derive an exact matrix product expression of the stationary distribution, as well as the particle current and density profiles in the stationary state. The exact expressions reveal the existence of different phases with either ballistic or diffusive transport depending on the boundary parameters.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Medenjak, Marko UNSPECIFIED UNSPECIFIED UNSPECIFIED Popkov, Vladislav UNSPECIFIED UNSPECIFIED UNSPECIFIED Prosen, Tomaz UNSPECIFIED UNSPECIFIED UNSPECIFIED Ragoucy, Eric UNSPECIFIED UNSPECIFIED UNSPECIFIED Vanicat, Matthieu UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-146158
DOI:	10.21468/SciPostPhys.6.6.074
Journal or Publication Title:	SciPost Phys.
Volume:	6
Number:	6
Date:	2019
Publisher:	SCIPOST FOUNDATION
Place of Publication:	AMSTERDAM
ISSN:	2542-4653
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ASYMMETRIC EXCLUSION PROCESS Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14615