HYDRODYNAMICS OF SELF-ALIGNMENT INTERACTIONS WITH PRECESSION AND DERIVATION OF THE LANDAU–LIFSCHITZ–GILBERT EQUATION

DOI10.1142/S021820251140001XzbMath1387.35024arXiv1108.2951MaRDI QIDQ2892000

Jian-Guo Liu, Pierre Degond

Publication date: 18 June 2012

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

Full work available at URL: https://arxiv.org/abs/1108.2951

zbMATH Keywords

hydrodynamic limithyperbolicityspin dynamicsdiffusion correctionself-propelled particlesweakly nonlocal interaction

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) Transport processes in time-dependent statistical mechanics (82C70) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Animal behavior (92D50)

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Cites Work

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• DIFFUSION IN A CONTINUUM MODEL OF SELF-PROPELLED PARTICLES WITH ALIGNMENT INTERACTION
• SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE
• CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
• Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups

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