Crossover to the KPZ equation

DOI10.1007/s00023-011-0147-7zbMath1257.82077arXiv1004.2726OpenAlexW2029507386MaRDI QIDQ425130

Patrícia C. Gonçalves, Milton D. Jara

Publication date: 7 June 2012

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2726

zbMATH Keywords

asymmetric exclusion processOrnstein-Uhlenbeck processscaling behaviorTracy-Widom distributionEdwards-Wilkinson universality classKPZ universality classequilibrium density fluctuationsgrowing interfaceintermediate regimeKardar-Parisi-Zhang (KPZ) equation

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

Crossover to the stochastic Burgers equation for the WASEP with a slow bond ⋮ On the universality from interacting particle systems ⋮ Hydrodynamic limits: the emergence of fractional boundary conditions ⋮ Stochastic PDE limit of the dynamic ASEP ⋮ Nonlinear fluctuations of weakly asymmetric interacting particle systems ⋮ A stochastic Burgers equation from a class of microscopic interactions ⋮ Density fluctuations for exclusion processes with long jumps ⋮ Local KPZ behavior under arbitrary scaling limits ⋮ The Einstein relation for the KPZ equation

Cites Work

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