论文标题

高密度的活动物质:速度分布和动力学温度

Active Matter at high density: velocity distribution and kinetic temperature

论文作者

Caprini, Lorenzo, Marconi, Umberto Marini Bettolo

论文摘要

我们考虑在高密度下的活性布朗颗粒相互作用的二维系统的固体或示型非平衡阶段,并在数值和理论上研究速度分布函数的特性以及相关的动力学温度。我们获得了速度分布形状的近似分析预测,并找到从墨西哥帽子样到高斯样分布的过渡,因为主动力的持续时间从小到较大的持久性方向变化。通过对单粒子速度差异的详细数值和理论分析,我们报告了密集球形自propelled颗粒的动力学温度的精确分析表达,这些颗粒也具有较大持久性时间的非平衡状态,并讨论其有效性范围。

We consider the solid or hexatic non-equilibrium phases of an interacting two-dimensional system of Active Brownian Particles at high density and investigate numerically and theoretically the properties of the velocity distribution function and the associated kinetic temperature. We obtain approximate analytical predictions for the shape of the velocity distribution and find a transition from a Mexican-hat-like to a Gaussian-like distribution as the persistence time of the active force changes from the small to the large persistence regime. Through a detailed numerical and theoretical analysis of the single-particle velocity variance, we report an exact analytical expression for the kinetic temperature of dense spherical self-propelled particles that holds also in the non-equilibrium regimes with large persistence times and discuss its range of validity.

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