A mean-field model for nematic alignment of self-propelled rods

Autor:	Perepelitsa, Misha, Timofeyev, Ilya, Murphy, Patrick, Igoshin, Oleg A.
Rok vydání:	2022
Předmět:	Physics - Biological Physics
Zdroj:	Phys. Rev. E 106, 3, (2022)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.106.034613
Popis:	In this paper we develop a model for nematic alignment of self-propelled rods interacting through binary collisions. We avoid phenomenological descriptions of rod interaction in favor of rigorously using a set of microscopic-level rules. Under the assumption that each collision results in a small change to a rod's orientation, we derive the Fokker-Planck equation for the evolution of the kinetic density function. Using analytical and numerical methods, we study the emergence of the nematic order from a homogeneous, uniform steady-state of the mean-field equation. Comment: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.034613
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.04659 Zobrazit plný text záznamu View this record from Arxiv