Object

Title: Rotor-router walk on a semi-infinite cylinder

Co-author(s) :

Poghosyan Vahagn ; Priezzhev Viacheslav

Abstract:

We study the rotor-router walk with the clockwise ordering of outgoing edges on the semi-infinite cylinder. Imposing uniform conditions on the boundary of the cylinder, we consider growth of the cluster of visited sites and its internal structure. The average width of the surface region of the cluster evolves with time to the stationary value by a scaling law whose parameters are close to the standard KPZ exponents. We introduce characteristic labels corresponding to closed clockwise contours formed by rotors and show that the sequence of labels has in average an ordered helix structure.

Date submitted:

20.06.2016

Date accepted:

02.06.2016

Format:

29.07.2016

Identifier:

oai:noad.sci.am:136148

DOI:

10.1088/1742-5468/2016/07/073209

Language:

English

Journal or Publication Title:

Journal of Statistical Mechanics: Theory and Experiment

Volume:

2016

Number:

7

URL:


Additional Information:

vpoghos@theor.jinr.ru

Affiliation:

Joint Institute for Nuclear Research ; Bogoliubov Laboratory of Theoretical Physics ; Institute for Informatics and Automation Problems ; Dubna State University

Country:

Armenia ; Russia

Indexing:

Scopus

Object collections:

Last modified:

Apr 19, 2021

In our library since:

Apr 19, 2021

Number of object content hits:

4

All available object's versions:

https://noad.sci.am/publication/149484

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