title: Connection between matrix-product states and superposition of Bernoulli shock measures.
abstract: We consider a generalized coagulation-decoagulation system on a one-dimensional discrete lattice with reflecting boundaries. It is known that a Bernoulli shock measure with two shock fronts might have a simple random-walk dynamics, provided that some constraints on the microscopic reaction rates of this system are fulfilled. Under these constraints the steady state of the system can be written as a linear superposition of such shock measures. We show that the coefficients of this expansion can be calculated using the finite-dimensional representation of the quadratic algebra of the system obtained from a matrix-product approach.
authors.affiliation: Physics Department, Bu-Ali Sina University, Hamadan, Iran. farhad@ipm.ir
authors.forename: Farhad H
authors.initials: FH
authors.lastname: Jafarpour
authors.forename: Ali
authors.initials: A
authors.lastname: Aghamohammadi