A consistence-stability approach to hydrodynamic limit of interacting particle systems on lattices

DOI10.5802/slsedp.154OpenAlexW4310269826MaRDI QIDQ2684815

Clément Mouhot, Angeliki Menegaki

Publication date: 17 February 2023

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.00079

zbMATH Keywords

hydrodynamic limitzero-range processinteracting particle systemsGinzburg Landau processsimple-exclusion process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of gases (82D05) Ginzburg-Landau equations (35Q56) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Spectral gap for zero-range dynamics
• A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• A two-scale approach to the hydrodynamic limit, part II: local Gibbs behavior
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