HYDRODYNAMICS OF THE KURAMOTO–VICSEK MODEL OF ROTATING SELF-PROPELLED PARTICLES

DOI10.1142/S0218202513400095zbMath1285.35120arXiv1306.3372OpenAlexW2952978104MaRDI QIDQ2873518

Giacomo Dimarco, Thi-Bich-Ngoc Mac, Pierre Degond

Publication date: 24 January 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3372

zbMATH Keywords

Fokker-Planck equationasymptotic behaviourdispersion relationorder parameterhydrodynamicsgeneralized collision invariantsystem of particlesKuramoto-Vicsek modelvon Mises-Fischer distribution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) First-order nonlinear hyperbolic equations (35L60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Animal behavior (92D50) Fokker-Planck equations (35Q84)

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