A new family of exactly solvable disordered reaction-diffusion systems

Abstract

Using a matrix product method the steady-state of a family of disordered reaction-diffusion systems consisting of different species of interacting classical particles moving on a lattice with periodic boundary conditions is studied. A new generalized quadratic algebra and its matrix representations is introduced. The steady-states of two members of this exactly solvable family of systems are studied in detail.

major revision, results unchanged, 10 pages, 1 eps figure

References in corpus (4)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Matrix representation of the stationary measure for the multispecies TASEP
• TASEP on a ring with internal degrees of freedom
• Phase transition in an exactly solvable reaction-diffusion process

Cited by in corpus (1)

• Multi species asymmetric simple exclusion process with impurity activated flips