Glauber-exclusion dynamics: rapid mixing regime

DOI10.1214/22-EJP865MaRDI QIDQ2090758

Ryokichi Tanaka, Kenkichi Tsunoda

Publication date: 31 October 2022

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

Full work available at URL: https://arxiv.org/abs/2011.13158

zbMATH Keywords

hydrodynamic limitinteracting particle systemsGlauber-exclusion processmixing times for Markov chains

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

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• Cutoff for the noisy voter model
• The cutoff profile for the simple exclusion process on the circle
• Ergodicity for spin systems with stirrings
• Reaction-diffusion equations for interacting particle systems
• Mathematical methods for hydrodynamic limits
• The simple exclusion process on the circle has a diffusive cutoff window
• On large deviations of interface motions for statistical mechanics models
• Information percolation and cutoff for the stochastic Ising model
• Hydrodynamics and large deviation for simple exclusion processes

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