Asymptotic equivalence of fluctuation fields for reversible exclusion processes with speed change

DOI10.1214/aop/1176992524zbMath0609.60097OpenAlexW2081717750MaRDI QIDQ1086920

Herbert Spohn, Anna De Masi, Errico Presutti, W. David Wick

Publication date: 1986

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992524

zbMATH Keywords

lattice gasfluctuation fieldspace-time renormalizationrapidly decreasing smoothing function

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

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Equilibrium fluctuations for exclusion processes with speed change ⋮ Reaction-diffusion equations for interacting particle systems ⋮ A limit theorem for quadratic fluctuations in symmetric simple exclusion ⋮ Fluctuations for Some Nonstationary Interacting Particle Systems via Boltzmann–Gibbs Principle ⋮ Symmetric exclusion as a random environment: invariance principle ⋮ Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models ⋮ Microscopic models of hydrodynamic behavior. ⋮ Macdonald processes ⋮ Nonlinear fluctuations of weakly asymmetric interacting particle systems ⋮ Glauber dynamics of fluctuations ⋮ Scaling Limits of Additive Functionals of Interacting Particle Systems ⋮ Local moderate and precise large deviations via cluster expansions ⋮ Equilibrium fluctuations for zero range processes in random environment ⋮ A microscopic model of interface related to the Burgers equation ⋮ Quantitative homogenization of interacting particle systems ⋮ The Einstein relation for the KPZ equation

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