Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics

DOI10.1515/rose.2007.007zbMath1199.60342arXivmath/0608051OpenAlexW2080235362MaRDI QIDQ5324832

Dmitri L. Finkelshtein, Eugene W. Lytvynov, Yuri G. Kondratiev

Publication date: 8 August 2009

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608051

zbMATH Keywords

scaling limitGibbs measureGlauber dynamicsKawasaki dynamicscontinuous system

Mathematics Subject Classification ID

Related Items (9)

Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems ⋮ Vlasov scaling for stochastic dynamics of continuous systems ⋮ Correlation functions evolution for the Glauber dynamics in continuum ⋮ Markov evolutions and hierarchical equations in the continuum. I: One-component systems ⋮ Statistical dynamics of continuous systems: perturbative and approximative approaches ⋮ Kawasaki dynamics in continuum: micro- and mesoscopic descriptions ⋮ An approximative approach for construction of the Glauber dynamics in continuum ⋮ Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit ⋮ Binary jumps in continuum. I. Equilibrium processes and their scaling limits

Cites Work

• Unnamed Item
• A new proof of Ruelle's superstability bounds
• Spectral gap estimates for interacting particle systems via a Bochner-type identity
• On the spectral gap of Kawasaki dynamics under a mixing condition revisited

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