arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1912.03044cond-mat.soft
收藏

活性物质Vicsek模型中的粗化动力学

Coarsening Dynamics in the Vicsek Model of Active Matter

Nisha Katyal, Supravat Dey, Dibyendu Das, Sanjay Puri

摘要:

我们研究了Vicsek在“粗化”机制下引入的群集模型。在标准的自推进速度,我们发现两个不同的增长规律的耦合密度和速度场。密度域的特征长度尺度以$L_ρ(t) \sim t^{θ_ρ}$(使用$θ_ρ\simeq 0.25$)的形式增长,而速度长度尺度增长得更快,$viz.$,$L_{v}(t) \sim t^{θ_v}$(使用$θ_v \simeq 0.83$)。通过计算两点关联函数和结构因子,研究了密度场和速度场的空间涨落,它们偏离了著名的Porod定律。这是系统中动态出现的不规则形态散射的自然结果。在较大的标度波矢值下,密度场和速度场的标度结构因子分别以幂$-2.6$和$-1.52$衰减。

英文摘要:

We study the flocking model introduced by Vicsek in the "coarsening" regime. At standard self-propulsion speeds, we find two distinct growth laws for the coupled density and velocity fields. The characteristic length scale of the density domains grows as $L_ρ(t) \sim t^{θ_ρ}$ (with $θ_ρ\simeq 0.25$), while the velocity length scale grows much faster, $viz.$, $L_{v}(t) \sim t^{θ_v}$ (with $θ_v \simeq 0.83$). The spatial fluctuations in the density and velocity fields are studied by calculating the two-point correlation function and the structure factor, which show deviations from the well-known Porod's law. This is a natural consequence of scattering from irregular morphologies that dynamically arise in the system. At large values of the scaled wave-vector, the scaled structure factors for the density and velocity fields decay with powers $-2.6$ and $-1.52$, respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑