Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session G08: Statistics of Active Matter
11:30 AM–2:30 PM,
Tuesday, March 15, 2022
Room: McCormick Place W-179B
Sponsoring
Unit:
GSNP
Chair: Dani Bassett, University of Pennsylvania
Abstract: G08.00003 : Ringkinetic Theory of Vicsek-like Systems of Self-Propelled Particles*
11:54 AM–12:06 PM
Presenter:
Rüdiger Kürsten
(University of Greifswald)
Authors:
Rüdiger Kürsten
(University of Greifswald)
Thomas Ihle
(University of Greifswald)
There motion is given by Langevin equations, however, the qualitative behavior is as for the famous Vicsek model.
We develop a kinetic theory of flocking beyond mean field.
In particular, we take into account the full pair correlation function.
We find excellent quantitative agreement of those pair correlations with direct agent-based simulations within the disordered regime.
Furthermore we use a closure relation to incorporate at least the spatial correlations of three particles.
In that way we achieve good quantitative agreement of the onset of flocking with direct simulations.
Compared to mean field theory, the flocking transition is shifted significantly towards lower noise because directional correlations favor disorder.
*The authors gratefully acknowledge the Gemeinsame Wissenschaftskonferenz support for funding this project by providing computing time through the Center for Information Services and High Performance Computing at TU Dresden on the HRSK-II. The authors gratefully acknowledge the Universitätsrechenzentrum Greifswald for providing computing time.
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