On the spectral gap of Kawasaki dynamics under a mixing condition revisited

DOI10.1063/1.533192zbMath0977.82031OpenAlexW2065548496MaRDI QIDQ2737879

Fabio Martinelli, Nicoletta Cancrini

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533192

zbMATH Keywords

lattice gas modelstochastic spin exchange dynamics

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (19)

Stochastic analysis and applications ⋮ Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\) ⋮ Spectral gap estimates for interacting particle systems via a Bochner-type identity ⋮ Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle ⋮ Entropy dissipation estimates in a zero-range dynamics ⋮ Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics ⋮ Large deviation principles for nongradient weakly asymmetric stochastic lattice gases ⋮ The exclusion process mixes (almost) faster than independent particles ⋮ On the dynamical behavior of the ABC model ⋮ Mixing times of lozenge tiling and card shuffling Markov chains ⋮ Computation for the canonical measures of a colored disordered lattice gas and spectral gap ⋮ Poincaré and logarithmic Sobolev inequality for Ginzburg-Landau processes in random environ\-ment ⋮ Kinetically constrained lattice gases ⋮ The mixing time for simple exclusion ⋮ Weak Poincaré inequalities in the absence of spectral gaps ⋮ On spectral gap for multicolored disordered lattice gas of exclusion processes ⋮ Quantitative ergodicity for the symmetric exclusion process with stationary initial data ⋮ Logarithmic Sobolev constant for the dilute Ising lattice gas dynamics below the percolation threshold. ⋮ Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case.

Cites Work

• Coercive inequalities for Gibbs measures
• The spectral gap for the Kawasaki dynamics at low temperature
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• For 2-D lattice spin systems weak mixing implies strong mixing
• Relaxation to equilibrium of conservative dynamics. I: Zero-range processes
• A Goldstone mode in the Kawasaki-Ising model
• Logarithmic Sobolev inequality for lattice gases mixing conditions

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