论文标题
Landau动力学方程式用于干排列活动模型
Landau kinetic equation for dry aligning active models
论文作者
论文摘要
Landau方程是基于粒子之间相互作用的弱耦合近似的动力学方程。在干燥活性物质的框架中，这种新的动力学方程依赖于对齐强度和角噪声的弱耦合近似，而不是稀释性的假设。因此，它是在玻尔兹曼[3]和smoluchowski [2]近似之间桥接的动力学方程，并允许在中等密度下进行分析描述。方程式的形式呈现出非线性和密度依赖性扩散和对流，这是由运动的显微镜方程完全得出的。最后，实施BGL过程[25]，得出了碳纤维方程的参数，显示了线性稳定均匀有序的解决方案的外观，并模仿了从Boltzmann方法获得的结果。
The Landau equation is a kinetic equation based on the weak coupling approximation of the interaction between the particles. In the framework of dry active matter this new kinetic equation relies on the weak coupling approximation of both the alignment strength and the magnitude of the angular noise, instead of the hypothesis of diluteness. Therefore, it is a kinetic equation bridging between the Boltzmann [3], and the Smoluchowski [2] approximations, and allowing analytical descriptions at moderate densities. The form of the equation presents non-linear and density dependent diffusions and advections fully derived by the microscopic equations of motions. Finally, implementing the BGL procedure [25], the parameters of the Toner-Tu equations are derived showing the appearance of linearly stable homogeneous ordered solutions and mimicking the results obtained from the Boltzmann approach.
