Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition

DOI10.3934/krm.2019023zbMath1420.60066arXiv1711.10371OpenAlexW2963440061WikidataQ128340462 ScholiaQ128340462MaRDI QIDQ2323397

Samir Salem, Young-Pil Choi

Publication date: 2 September 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10371

zbMATH Keywords

phase transitionpropagation of chaosflockingCucker-Smale modelstochastic mean-field limit

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting particle systems in time-dependent statistical mechanics (82C22) Population dynamics (general) (92D25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (12)

Controlled pattern formation of stochastic Cucker-Smale systems with network structures ⋮ On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking ⋮ Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication ⋮ The stochastic flocking model with far-field degenerate communication ⋮ Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off ⋮ Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos ⋮ From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit ⋮ The microscopic derivation and well-posedness of the stochastic Keller-Segel equation ⋮ Unnamed Item ⋮ Flocking dynamics of a coupled system in noisy environments ⋮ Delay-dependent flocking dynamics of a two-group coupling system ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

Cites Work

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• Stochastic Calculus
• Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
• Emergent Behavior in Flocks

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