SKM 2023 – wissenschaftliches Programm
DY 38.6: Vortrag
Donnerstag, 30. März 2023, 11:15–11:30, ZEU 160
Phase transitions in multicomponent active matter: a quantitative kinetic theory — •Jakob Mihatsch1, Thomas Ihle1, Rüdiger Kürsten2, and Horst-Holger Boltz1 — 1Institute for Physics, University of Greifswald, Greifswald, Germany — 2Departament de Física de la Matèria Condensada, University of Barcelona, Barcelona, Spain
We consider a multicomponent 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 kinetic theory which takes the time-evolution of the two-particle correlation function explicitly into account, i.e. goes beyond the mean-field approximation. We show that this theory predicts the relaxation behavior of the system as well as the order-disorder transition with high precision in certain parameter ranges. In particular, the dependence of the transition threshold on the particle speed is predicted correctly.