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Paper IPM / Physic / 6969  


Abstract:  
We obtain exact travelling wave solutions for three families of stochastic onedimensional nonequilibrium lattice models with open boundaries. These solutions describe the diffusive motion and microscopic structure of (i) of shocks in the partially asymmetric exclusion process with open boundaries, (ii) of a lattice Fisher wave in a reactiondiffusion system, and (iii) of a domain wall in nonequilibrium GlauberKawasaki dynamics with magnetization current. For each of these systems we define a microscopic shock position and calculate the exact hopping rates of the travelling wave in terms of the transition rates of the microscopic model. In the steady state a reversal of the bias of the travelling wave marks a firstorder nonequilibrium phase transition, analogous to the Zel'dovich theory of kinetics of firstorder transitions. The stationary distributions of the exclusion process with n shocks can be described in terms of ndimensional representations of matrix product states.
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