Abstract
In this paper it is shown that the steady state weights of the asymmetric simple exclusionprocess (ASEP) with open boundaries and parallel update can be written as a product of ascalar pair-factorized and a matrix-product state. This type of state is also obtained foran ASEP on a ring in which particles can move one or two sites. The dynamicsleads to the formation of an excess hole that plays the role of a defect. In thecontinuous-time limit the process recovers the ASEP with a single defect particle.The phase diagram shows a first-order phase transition between two phases withdifferent defect velocities. These are calculated exactly from the process-generatingfunction.
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