A microscopic derivation of coupled SPDE's with a KPZ flavor

DOI10.1214/21-AIHP1196zbMath1494.35200arXiv1910.03996MaRDI QIDQ2155519

Marielle Simon, Ragaa Ahmed, Cédric Bernardin, Patrícia C. Gonçalves

Publication date: 15 July 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03996

zbMATH Keywords

fluctuating hydrodynamicsstochastic Burgers equationequilibrium fluctuations

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations (35K58)

Related Items (3)

Derivation of anomalous behavior from interacting oscillators in the high-temperature regime ⋮ On the universality from interacting particle systems ⋮ Hydrodynamic limits: the emergence of fractional boundary conditions

Cites Work

• Unnamed Item
• Solving the KPZ equation
• Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
• A theory of regularity structures
• A stochastic Burgers equation from a class of microscopic interactions
• Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields
• The one-dimensional KPZ equation and its universality class
• Stochastic Burgers and KPZ equations from particle systems
• Invariant measures in coupled KPZ equations
• The infinitesimal generator of the stochastic Burgers equation
• Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes
• Nonlinear fluctuating hydrodynamics for anharmonic chains
• A coupled KPZ equation, its two types of approximations and existence of global solutions
• Second order Boltzmann-Gibbs principle for polynomial functions and applications
• Nonlinear fluctuations of weakly asymmetric interacting particle systems
• Kardar-Parisi-Zhang Universality
• Anomalous diffusion for a class of systems with two conserved quantities
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Fibonacci family of dynamical universality classes
• Energy solutions of KPZ are unique
• Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension
• Dynamic Scaling of Growing Interfaces
• The Kardar–Parisi–Zhang equation: a statistical physics perspective
• Superdiffusivity of asymmetric energy model in dimensions 1 and 2

This page was built for publication: A microscopic derivation of coupled SPDE's with a KPZ flavor