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:
Date accepted:
Format:
Identifier:
oai:noad.sci.am:136148
DOI:
10.1088/1742-5468/2016/07/073209
Language:
Journal or Publication Title:
Journal of Statistical Mechanics: Theory and Experiment
Volume:
Number:
URL:
Additional Information:
Affiliation:
Joint Institute for Nuclear Research ; Bogoliubov Laboratory of Theoretical Physics ; Institute for Informatics and Automation Problems ; Dubna State University
Country:
Indexing:
Object collections:
- Digital Library > Academic Insitutions > Insitute for Informatics and Automation Problems of NAS RA > Publications
Last modified:
Apr 19, 2021
In our library since:
Apr 19, 2021
Number of object content hits:
34
All available object's versions:
https://noad.sci.am/publication/149484
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Show description in OAI-PMH format:
| Edition name | Date |
|---|---|
| Vl V Papoyan, Spiral structures in the rotor-router walk | Apr 19, 2021 |
