Infinite particle systems with collective behaviour and related mesoscopic equations
DOI10.1063/1.5095487zbMath1447.82023OpenAlexW2995201908MaRDI QIDQ5218772
Jeong-Ho Kim, Seung-Yeal Ha, Oleksandr Kutoviy, Peter Kuchling
Publication date: 5 March 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5095487
synchronizationcorrelation functionsBBGKY hierarchykinetic equationsmean-field limitflockingcollective behaviorKuramoto modelswarmingVlasov scalingcontinuous infinite interacting systemsCucker-Smale (C-S) modelFokker-Planck evolution (of probability distributions)infinite particle statistical counterpartsinitial random configurationmesoscopic scaling limits
Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Many-body theory; quantum Hall effect (81V70) Random measures (60G57) Kinetic theory of gases in time-dependent statistical mechanics (82C40) General theory of random and stochastic dynamical systems (37H05) Fokker-Planck equations (35Q84) PDEs in connection with statistical mechanics (35Q82)
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