论文标题
一个自propelled杆列对准的平均场模型
A mean-field model for nematic alignment of self-propelled rods
论文作者
论文摘要
在本文中，我们开发了一个模型，用于通过二进制碰撞相互作用的自前线杆的列表对齐。我们避免使用一组微观级别的规则对杆相互作用的现象学描述。在每种碰撞导致杆方向的微小变化的假设下，我们为动力学密度函数的演变得出了Fokker-Planck方程。使用分析和数值方法，我们研究了平均场方程中均匀，均匀稳态的列顺序的出现。
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.
