Stochastic Burgers equation from long range exclusion interactions

Patrícia Gonçalves and Milton Jara

Stochastic Processes and their Applications, 2017, vol. 127, issue 12, 4029-4052

Abstract: We consider one-dimensional exclusion processes with long jumps given by a transition probability of the form pn(⋅)=s(⋅)+γna(⋅), such that its symmetric part s(⋅) is irreducible with finite variance and its antisymmetric part is absolutely bounded by s(⋅). We prove that under diffusive time scaling and strength of asymmetry nγn→n→∞b≠0, the equilibrium density fluctuations are given by the unique energy solution of the stochastic Burgers equation.

Keywords: Stochastic Burgers equation; KPZ equation; Long range exclusion; Equilibrium fluctuations; Universality (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2017.03.022

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