A heterogeneous zero-range process related to a two-dimensional walk model
arXiv:1106.0174 · doi:10.1142/S0217979212500440
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.
5 pages, 2 eps figures
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