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arXiv 1002.3831cond-mat.stat-mech
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自行硬杆的非平衡统计力学

Nonequilibrium Statistical Mechanics of Self-propelled Hard Rods

Aparna Baskaran, M. Cristina Marchetti

摘要:

使用非平衡力学的工具,我们研究了一个模型的自推进硬杆在基板上的两个维度,以量化的相互作用的自推进和排除体积效应。我们推导的Smoluchowski方程的配置概率密度的自推进棒,包含几个修改相比,熟悉的Smoluchowski方程的热棒。作为我们的工作的副产品,我们还提出了一个纯粹的动力学推导的Onsager形式的平均场排除热硬棒之间的体积相互作用。

英文摘要:

Using tools of nonequilibirum mechanics, we study a model of self-propelled hard rods on a substrate in two dimensions to quantify the interplay of self-propulsion and excluded-volume effects. We derive of a Smoluchowski equation for the configurational probability density of self-propelled rods that contains several modifications as compared to the familiar Smoluchowski equation for thermal rods. As a side-product of our work, we also present a purely dynamical derivation of the Onsager form of the mean field excluded volume interaction among thermal hard rods.

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