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arXiv 1001.2684cond-mat.softcond-mat.stat-mechphysics.bio-ph
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涨落引起的集体运动:单粒子密度分析

Fluctuation-induced collective motion: A single-particle density analysis

Chiu Fan Lee

摘要:

在一个有噪声的自推进粒子系统中,如果粒子的密度增加超过一定的阈值,则会出现集体运动。在本文中,我们认为,这样的阈值也可能取决于在粒子方向上的扰动的配置文件。具体来说,我们进行平均场,线性稳定性,微扰和数值分析的近似形式的福克-普朗克方程描述的系统。我们发现,如果一个初始均匀系统的角扰动是大的幅度和高度本地化的空间,它将被放大,从而作为集体运动的开始的指示。我们的结果还表明,高粒子速度促进集体运动。

英文摘要:

In a system of noisy self-propelled particles with interactions that favor directional alignment, collective motion will appear if the density of particles increases beyond a certain threshold. In this paper, we argue that such a threshold may depend also on the profiles of the perturbation in the particle directions. Specifically, we perform mean-field, linear stability, perturbative and numerical analyses on an approximated form of the Fokker-Planck equation describing the system. We find that if an angular perturbation to an initially homogeneous system is large in magnitude and highly localized in space, it will be amplified and thus serves as an indication of the onset of collective motion. Our results also demonstrate that high particle speed promotes collective motion.

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。

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