Boltz Horst-Holger, Kohler Benjamin, Ihle Thomas
Institute for Physics, University of Greifswald, 17489 Greifswald, Germany.
Entropy (Basel). 2024 Dec 4;26(12):1054. doi: 10.3390/e26121054.
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.
我们给出了具有高阶对称性排列相互作用的自驱动粒子系统的动力学理论结果,特别是向列型相互作用。为此,我们采用朗道方程方法,这是一种针对小有效耦合对BBGKY层级的系统近似。我们以一种具有教学意义的方式呈现计算结果,明确目标是从物理学家的角度提供一个教程,介绍如何将动力学理论思想应用于超越平均场的活性物质系统,且基本上无需先修知识,并给出无自由参数的预测,这些预测与基于直接个体的模拟在定量上一致。