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      Diffusivity of lattice gases

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          Abstract

          We consider one component lattice gases with a local dynamics and a stationary product Bernoulli measure. We give upper and lower bounds on the diffusivity at an equilibrium point depending on the dimension and the local behavior of the macroscopic flux function. We show that if the model is expected to be diffusive, it is indeed diffusive, and, if it is expected to be superdiffusive, it is indeed superdiffusive.

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          Most cited references 16

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          THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS

           Ivan Corwin (2012)
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            Stochastic Burgers and KPZ Equations from Particle Systems

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              Hydrodynamic limit for attractive particle systems on 417-1417-1417-1

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                Author and article information

                Journal
                15 November 2012
                10.1007/s00205-013-0651-7
                1211.3716

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                39 pages, 1 figure
                math.PR math-ph math.MP

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