Continuum approximations to systems of correlated interacting particles

DOI10.1007/s10955-018-2205-8zbMath1448.82029arXiv1805.02268OpenAlexW2801372583WikidataQ128745127 ScholiaQ128745127MaRDI QIDQ1731008

Pierre-Emmanuel Jabin, Mykhailo Potomkin, Leonid Berlyand, Robert Creese

Publication date: 6 March 2019

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

Full work available at URL: https://arxiv.org/abs/1805.02268

zbMATH Keywords

mean field approximationmany particle systemclosure of BBGKY hierarchy

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Monte Carlo methods applied to problems in statistical mechanics (82M31)

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Kinetic equations for processes on co-evolving networks ⋮ Bulk Topological States in a New Collective Dynamics Model ⋮ Propagation of chaos: a review of models, methods and applications. I: Models and methods

Cites Work

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• Large deviation properties of weakly interacting processes via weak convergence methods
• A martingale approach to the law of large numbers for weakly interacting stochastic processes
• Quantitative concentration inequalities for empirical measures on non-compact spaces
• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• A propagation of chaos result for a system of particles with moderate interaction
• Vlasov equations
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Multilevel large deviations and interacting diffusions
• An interacting particle system modelling aggregation behavior: from individuals to populations
• A review of the mean field limits for Vlasov equations
• A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion
• Heterophilious Dynamics Enhances Consensus
• On the McKean-Vlasov Limit for Interacting Diffusions
• New stability estimates for the 2‐D vortex method
• Large deviations from the mckean-vlasov limit for weakly interacting diffusions
• A Kinetic Model for Semidilute Bacterial Suspensions
• Complexity Reduction in Many Particle Systems with Random Initial Data
• Statistical Mechanics of Fluid Mixtures
• A fast algorithm for particle simulations