Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Focus Session: New Trends in Nonequilibrium Physics – Conservation Laws and Nonreciprocal Interactions II
DY 30.3: Vortrag
Mittwoch, 20. März 2024, 15:45–16:00, BH-N 243
Aligning self-propelled particles beyond mean-field: the active Boltzmann equation — Jakob Mihatsch1, •Horst-Holger Boltz1, Rüdiger Kürsten2, and Thomas Ihle1 — 1Universität Greifswald, Greifswald, Deutschland — 2Universitat de Barcelona, Barcelona, Spanien
Models of active matter are commonly discussed within mean-field approaches. Going beyond mean-field by assuming one-sided molecular chaos, we show that it is possible to explicitly account for the finite duration and range of actual interactions in particular active matter leading to the active Boltzmann equation. One principle outcome is a derivation of the entropy production.
We demonstrate the quantitatively accurate realization of this methodology, both analytically and numerically, for ensembles of Vicsek-style self-propelled particles with finite-ranged alignment interactions. For anti-aligning interactions in the absence of noise, this system displays deterministically chaotic dynamics under the existence of an additional conservation law that affects the large-scale statistics.
We use an asymptotically exact solution to predict a novel flock-ing transition in heterogeneous systems wherein all couplings are anti-aligning, which we corroborate by agent-based direct simulations, and show how the formalism can successfully be expanded to non-reciprocal interactions.
References: Ihle, Kürsten, Lindner (2023) arXiv:2303.03354, 2303.03357; Kürsten, Mihatsch, Ihle (2023) arXiv: 2304.05476
Keywords: Active Matter; Alignment Interactions; Nonreciprocal interactions; Boltzmann equation; Nonequilibrium Physics