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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Exact current statistics of the asymmetric simple exclusion process with open boundaries
Mieke Gorissen1, Alexandre Lazarescu, Kirone Mallick
1Faculty of Sciences, Hasselt University, 3590 Diepenbeek, Belgium.
Abstract:
Nonequilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The asymmetric simple exclusion process (ASEP) is a paradigm for nonequilibrium transport that is amenable to exact analytical solution. In the present work, we determine the full statistics of the current in the finite size open ASEP for all values of the parameters. Our exact analytical results are checked against numerical calculations using density matrix renormalization group techniques.
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