Inhomogeneous generalization of multispecies totally asymmetric zero   range process
  The $n$-species totally asymmetric zero range process ($n$-TAZRP) on one-dimensional periodic chain studied recently by the authors is a continuous time Markov process where arbitrary number of particles can occupy the same sites and hop to the adjacent sites only in one direction with a priority constraint according to their species. In this paper we introduce an $n$-parameter generalization of the $n$-TAZRP having inhomogeneous transition rate. The steady state probability is obtained in a matrix product form and also by an algorithm related to combinatorial $R$. 
Atsuo Kuniba, Shouya Maruyama and Masato Okado
math-ph cond-mat.stat-mech math.MP math.QA nlin.SI