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arXiv 1709.07488cond-mat.softphysics.bio-ph
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活性布朗粒子的沉降动力学

Dynamics of sedimenting active Brownian particles

Jérémy Vachier, Marco G. Mazza

摘要:

本文研究了在重力和被动涨落作用下,一个主动布朗粒子在三维空间中沉降的随机动力学。我们提出了一个解析解的Fokker-Planck方程的随机过程,使我们能够描述动态的活性布朗粒子在三维空间。我们解决的时间演化的极化,极化和稳态的解决方案。我们还进行了布朗动力学模拟和研究粒子的活动对它们的集体运动的影响。这些结果与我们的模型定性一致。最后,我们将我们的结果与实验[J. Palacci \emph{et al.},Phys. Rev. Lett. \textbf{105},088304(2010)],并且发现非常好的一致性。

英文摘要:

We investigate the stochastic dynamics of one sedimenting active Brownian particle in three dimensions under the influence of gravity and passive fluctuations in the translational and rotational motion. We present an analytical solution of the Fokker--Planck equation for the stochastic process which allows us to describe the dynamics of the active Brownian particle in three dimensions. We address the time evolution of the monopole, the polarization, and the steady-state solution. We also perform Brownian dynamics simulations and study the effect of the activity of the particles on their collective motion. These results qualitatively agree with our model. Finally, we compare our results with experiments [J. Palacci \emph{et al.}, Phys. Rev. Lett. \textbf{105}, 088304 (2010)] and find very good agreement.

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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