Microscopic shocks in one dimensional driven systems
Pablo A. Ferrari (1991)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Shock fluctuations in a particle system”
Microscopic shocks in one dimensional driven systems
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A. De Masi, E. Presutti, E. Scacciatelli (1989)
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P. A. Ferrari, L. R. G. Fontes, M. E. Vares (2000)
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Collision probabilities in the rarefaction fan of asymmetric exclusion processes
Pablo A. Ferrari, Patricia Gonçalves, James B. Martin (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate ∈(1/2, 1] and to the left at rate 1−, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occupied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converges to the rarefaction fan of the associated Burgers equation. In particular suppose...