A HETEROGENEOUS ZERO-RANGE PROCESS RELATED TO A TWO-DIMENSIONAL WALK MODEL-Reference-Cited by-同舟云学术

A HETEROGENEOUS ZERO-RANGE PROCESS RELATED TO A TWO-DIMENSIONAL WALK MODEL

Published:2012-04-10 Issue:09 Volume:26 Page:1250044
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

MASHARIAN SEYEDEH RAZIYEH¹,JAFARPOUR FARHAD H.²

Affiliation:

1. Department of Physics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

2. Physics Department, Bu-Ali Sina University, 65174-4161 Hamedan, Iran

Abstract

We have considered a disordered driven-diffusive system defined on a ring. This system can be mapped onto a heterogeneous zero-range process. We have shown that the grand-canonical partition function of this process can be obtained using a matrix product formalism and that it is exactly equal to the partition function of a two-dimensional walk model. The canonical partition function of this process is also calculated. Two simple examples are presented in order to confirm the results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979212500440

Reference23 articles.

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