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Abstract: We consider the one-dimensional Katz-Lebowitz-Spohn KLS model, which is atwo-parameter generalization of the Totally Asymmetric Simple Exclusion ProcessTASEP with nearest neighbour interaction. Using a powerful mapping, the KLSmodel can be translated into a misanthrope process. In this model, for therepulsive case, it is possible to introduce second class particles, the numberof which is conserved. We study the distance distribution of second classparticles in this model numerically and find that for large distances itdecreases with a power -3-2. This agrees with a previous analytical result forthe TASEP where the same asymptotic behaviour was found Derrida et al. 1993.We also study the dynamical scaling function of the distance distribution andfind that it is universal within this family of models.



Author: Attila Rákos

Source: https://arxiv.org/







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