VLASOV SCALING FOR THE GLAUBER DYNAMICS IN CONTINUUM

DOI10.1142/S021902571100450XzbMath1239.82013arXiv1002.4762OpenAlexW2053742869MaRDI QIDQ3114599

Dmitri L. Finkelshtein, Oleksandr Kutoviy, Yuri G. Kondratiev

Publication date: 19 February 2012

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4762

zbMATH Keywords

correlation functionsGlauber dynamicsMarkov evolutionVlasov equationscaling limitsVlasov scalingcontinuous systemsspatial birth-and-death processes

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Vlasov equations (35Q83)

Related Items

Glauber dynamics in the continuum via generating functionals evolution ⋮ Vlasov scaling for stochastic dynamics of continuous systems ⋮ Statistical dynamics of continuous systems: perturbative and approximative approaches ⋮ Semigroup approach to birth-and-death stochastic dynamics in continuum ⋮ Asymptotic behavior of the subordinated traveling waves ⋮ Markov evolutions in spatial ecology: from microscopic dynamics to kinetics ⋮ A Survey on Bogoliubov Generating Functionals for Interacting Particle Systems in the Continuum ⋮ Dynamical Widom-Rowlinson model and its mesoscopic limit

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