Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 50: Active Matter 5 (joint session DY/BP/CPP)
DY 50.1: Vortrag
Freitag, 9. September 2022, 10:00–10:15, H18
A quantitative scattering theory of active particles — •Thomas Ihle1, Rüdiger Kürsten1, and Benjamin Lindner2 — 1Institute for Physics, University of Greifswald, Greifswald — 2Institute for Physics, Humboldt University of Berlin, Berlin
We consider a particular model of self-propelled particles with Kuramoto-type alignment interactions. Starting from the N-particle Fokker-Planck equation we observe that the usual factorization Ansatz of the probability density, often called Molecular Chaos approximation, predicts a relaxation behavior which qualitatively disagrees with agent-based simulations. Therefore, we develop a scattering theory which resolves the time-evolution of the two-particle correlation function, i.e. goes beyond the mean-field approximation. The theory does not require input from agent-based simulations; it is self-consistent and leads to analytical expressions. We show that this theory predicts the relaxation behavior of the system and the transport coefficients with high precision in certain parameter ranges.