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Kinetic Theory of Self-Propelled Particles with Nematic Alignment

  • We present the results from kinetic theory for a system of self-propelled particles with alignment interactions of higher-order symmetry, particularly nematic ones. To this end, we use the Landau equation approach, a systematic approximation to the BBGKY hierarchy for small effective couplings. Our calculations are presented in a pedagogical way with the explicit goal of serving as a tutorial from a physicists’ perspective into applying kinetic theory ideas beyond mean-field to active matter systems with essentially no prerequisites and yield predictions without free parameters that are in quantitative agreement with direct agent-based simulations

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Metadaten
Author: Horst-Holger BoltzORCiD, Benjamin KohlerORCiD, Thomas IhleORCiD
URN:urn:nbn:de:gbv:9-opus-140611
DOI:https://doi.org/10.3390/e26121054
ISSN:1099-4300
Parent Title (English):Entropy
Publisher:MDPI
Place of publication:Basel
Document Type:Article
Language:English
Year of Completion:2024
Date of first Publication:2024/12/04
Release Date:2025/11/12
Tag:Vicsek-like models; active nematics; dry active matter; kinetic theory
Volume:26
Issue:12
Article Number:1054
Page Number:20
Faculties:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
Collections:weitere DFG-förderfähige Artikel
Licence (German):License LogoCreative Commons - Namensnennung 4.0 International