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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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          THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS

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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
                10.1007/s00205-013-0651-7
                1211.3716

                Mathematical physics,Mathematical & Computational physics,Probability
                Mathematical physics, Mathematical & Computational physics, Probability

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