Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit

DOI10.1063/1.3657345zbMath1272.82031arXiv1107.4005OpenAlexW3100487085MaRDI QIDQ2851776

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

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1107.4005

zbMATH Keywords

Vlasov-type mesoscopic scaling

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Boltzmann equations (35Q20)

Related Items (4)

Statistical dynamics of continuous systems: perturbative and approximative approaches ⋮ A homeomorphism relating path spaces of stochastic processes with values in ℝ^ℤ respectively (S¹)^ℤ ⋮ Asymptotic behavior of the subordinated traveling waves ⋮ Binary jumps in continuum. I. Equilibrium processes and their scaling limits

Cites Work

• Markov evolutions and hierarchical equations in the continuum. I: One-component systems
• Vlasov scaling for stochastic dynamics of continuous systems
• Dissipative operators in a Banach space
• Diffusion approximation for equilibrium Kawasaki dynamics in continuum
• Analysis and geometry on configuration spaces
• Superstable interactions in classical statistical mechanics
• Time reversible and Gibbsian point processes, II. Markovian particle jump processes on a general phase space
• On a general kinetic equation for many–particle systems with interaction, fragmentation and coagulation
• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY
• Binary jumps in continuum. I. Equilibrium processes and their scaling limits
• 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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