An approximative approach for construction of the Glauber dynamics in continuum

DOI10.1002/mana.200910248zbMath1245.60092arXiv0910.4241OpenAlexW2051820013MaRDI QIDQ3118974

Oleksandr Kutoviy, Dmitri L. Finkelshtein, Yuri G. Kondratiev, Elena A. Zhizhina

Publication date: 6 March 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4241

zbMATH Keywords

Glauber dynamicssemigroup approximationstochastic evolutioncontinuum systemsnonequilibrium casespatial death and birth 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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (7)

Non-equilibrium dynamics for a Widom-Rowlinson type model with mutations ⋮ Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems ⋮ 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 ⋮ Stochastic averaging principle for spatial birth-and-death evolutions in the continuum ⋮ A Survey on Bogoliubov Generating Functionals for Interacting Particle Systems in the Continuum

Cites Work

• Markov evolutions and hierarchical equations in the continuum. I: One-component systems
• On non-equilibrium stochastic dynamics for interacting particle systems in continuum
• Correlation functions evolution for the Glauber dynamics in continuum
• Glauber dynamics of continuous particle systems
• Superstable interactions in classical statistical mechanics
• Nonequilibrium Glauber-type dynamics in continuum
• ONE-PARTICLE SUBSPACE OF THE GLAUBER DYNAMICS GENERATOR FOR CONTINUOUS PARTICLE SYSTEMS
• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY
• EQUILIBRIUM KAWASAKI DYNAMICS OF CONTINUOUS PARTICLE SYSTEMS
• Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics
• On the metrical properties of the configuration space

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