Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations

DOI10.1007/978-3-030-15096-9_2zbMath1442.82030arXiv1810.06903OpenAlexW2896310263MaRDI QIDQ2181455

Ariane Trescases, Sara Merino-Aceituno, Pierre Degond, Amic Frouvelle

Publication date: 19 May 2020

Full work available at URL: https://arxiv.org/abs/1810.06903

zbMATH Keywords

alignmentquaternionsrotation matrixself-organized hydrodynamicsself-propelled particlesgeneralized collisional invariantsvelocity jumps

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Vector and tensor algebra, theory of invariants (15A72) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Stochastic integral equations (60H20) PDEs in connection with statistical mechanics (35Q82)

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