Construction of a state evolution for Kawasaki dynamics in continuum

DOI10.1007/s13324-012-0048-zzbMath1383.82032OpenAlexW2014748256MaRDI QIDQ2438516

Christoph Berns, Oleksandr Kutoviy, Yuri G. Kondratiev

Publication date: 5 March 2014

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-012-0048-z

zbMATH Keywords

correlation functionsinteracting particle systemKawasaki dynamicscontinuous systemnon-equilibrium evolution

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

Markov jump dynamics with additive intensities in continuum: state evolution and mesoscopic scaling ⋮ 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
• Analysis and geometry on configuration spaces
• Superstable interactions in classical statistical mechanics
• Quantum Field Theory II: Quantum Electrodynamics
• Time reversible and Gibbsian point processes, II. Markovian particle jump processes on a general phase space
• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY
• EQUILIBRIUM KAWASAKI DYNAMICS OF CONTINUOUS PARTICLE SYSTEMS
• On the metrical properties of the configuration space
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