A multi-layer model for self-propelled disks interacting through alignment and volume exclusion

DOI10.1142/S021820251540014XzbMath1328.35247arXiv1502.05936MaRDI QIDQ3451238

Laurent Navoret, Pierre Degond

Publication date: 10 November 2015

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

Full work available at URL: https://arxiv.org/abs/1502.05936

zbMATH Keywords

Fokker-Planck equationVicsek modelself-organized hydrodynamicsgeneralized collision invariant

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with biology, chemistry and other natural sciences (35Q92) First-order nonlinear hyperbolic equations (35L60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70)

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Cites Work

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• Numerical Simulations of a Nonconservative Hyperbolic System with Geometric Constraints Describing Swarming Behavior
• COLLECTIVE BEHAVIOR OF BIOLOGICAL AGGREGATIONS IN TWO DIMENSIONS: A NONLOCAL KINETIC MODEL
• CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Emergent Behavior in Flocks
• Collective Hydrodynamics of Swimming Microorganisms: Living Fluids

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