Hydrodynamic limits of interacting particle systems on crystal lattices in periodic realizations

DOI10.1214/21-ejp668zbMath1524.60267arXiv2004.09158OpenAlexW3017330249MaRDI QIDQ6137380

Zehao Guan

Publication date: 1 September 2023

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09158

zbMATH Keywords

crystal latticesexclusion processes

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Harmonic maps, etc. (58E20) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

• Long time asymptotics of non-symmetric random walks on crystal lattices
• Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices
• Hydrodynamic limit for a zero-range process in the Sierpinski gasket
• Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Albanese maps and off diagonal long time asymptotics for the heat kernel
• Standard realizations of crystal lattices via harmonic maps
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