Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes

DOI10.1214/20-AAP1639zbMath1477.60056arXiv1908.07863OpenAlexW3200790578MaRDI QIDQ2240874

Sunder Sethuraman, Cédric Bernardin, Tadahisa Funaki

Publication date: 4 November 2021

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

Full work available at URL: https://arxiv.org/abs/1908.07863

zbMATH Keywords

tightnessparticle systemfluctuationBurgersinteractingzero-rangecoupledmulti-speciesnonlinear fluctuating hydrodynamicsweakly asymmetric

Mathematics Subject Classification ID

Random fields (60G60) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17)

Related Items (6)

A microscopic derivation of coupled SPDE's with a KPZ flavor ⋮ Derivation of anomalous behavior from interacting oscillators in the high-temperature regime ⋮ Hydrodynamic limit and stochastic PDEs related to interface motion ⋮ On the universality from interacting particle systems ⋮ Stochastic eight-vertex model, its invariant measures and KPZ limit ⋮ Scaling limit of stationary coupled Sasamoto-Spohn models

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