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arXiv 1608.01466cond-mat.stat-mechcond-mat.soft
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有效对势对活性布朗粒子的适用性

Applicability of Effective Pair Potentials for Active Brownian Particles

Markus Rein, Thomas Speck

摘要:

我们已经进行了一个案例研究,调查了最近提出的方案,以获得活性布朗粒子的有效对势[Farage等人,E 91,042310(2015)]。将该方案应用于Lennard-Jones势,将主动布朗粒子的数值模拟与被动布朗粒子通过有效对势相互作用的模拟进行了比较。分析的静态对相关性,我们的研究结果表明,我们获得定量,甚至定性,协议的活动参数(速度和取向相关时间)的范围有限。此外,我们发现一个质的不同行为的维里压力,即使是小的推进速度。结合这些研究结果,我们得出结论,超越线性响应活性粒子表现出真正的非平衡特性,不能单独通过有效的对相互作用捕获。

英文摘要:

We have performed a case study investigating a recently proposed scheme to obtain an effective pair potential for active Brownian particles [Farage et al., Phys. Rev. E 91, 042310 (2015)]. Applying this scheme to the Lennard-Jones potential, numerical simulations of active Brownian particles are compared to simulations of passive Brownian particles interacting by the effective pair potential. Analyzing the static pair correlations, our results indicate a limited range of activity parameters (speed and orientational correlation time) for which we obtain quantitative, or even qualitative, agreement. Moreover, we find a qualitatively different behavior for the virial pressure even for small propulsion speeds. Combining these findings we conclude that beyond linear response active particles exhibit genuine non-equilibrium properties that cannot be captured by effective pair interaction alone.

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