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• W2964296766 abstract "In this paper we prove the convergence to the stochastic Burgers equation from one-dimensional interacting particle systems, whose dynamics allow the degeneracy of the jump rates. To this aim, we provide a new proof of the second order Boltzmann-Gibbs principle introduced in [7]. The main technical difficulty is that our models exhibit configurations that do not evolve under the dynamics - the blocked configurations - and are locally non-ergodic. Our proof does not impose any knowledge on the spectral gap for the microscopic models. Instead, it relies on the fact that, under the equilibrium measure, the probability to find a blocked configuration in a finite box is exponentially small in the size of the box. Then, a dynamical mechanism allows to exchange particles even when the jump rate for the direct exchange is zero." @default.
• W2964296766 created "2019-07-30" @default.
• W2964296766 creator A5059520091 @default.
• W2964296766 creator A5061717771 @default.
• W2964296766 creator A5080758846 @default.
• W2964296766 date "2016-01-01" @default.
• W2964296766 modified "2023-10-09" @default.
• W2964296766 title "Convergence to the stochastic Burgers equation from a degenerate microscopic dynamics" @default.
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• W2964296766 doi "https://doi.org/10.1214/16-ejp15" @default.
• W2964296766 hasPublicationYear "2016" @default.
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