Matrix product solution to an inhomogeneous multi-species TASEP
  We study a multi-species exclusion process with inhomogeneous hopping rates. This model is equivalent to a Markov chain on the symmetric group that corresponds to a random walk in the affine braid arrangement. We find a matrix product representation for the stationary state of this model. We also show that it is equivalent to a graphical construction proposed by Ayyer and Linusson, which generalizes Ferrari and Martin's construction. 
Chikashi Arita and Kirone Mallick
math-ph cond-mat.stat-mech math.MP