论文标题
有效物质中的配置温度。 I. Ornstein-Uhlenbeck模型的相图中不变物理的线
Configurational temperature in active matter. I. Lines of invariant physics in the phase diagram of the Ornstein-Uhlenbeck model
论文作者
论文摘要
本文表明，液态理论的构型温度（$ \ tc $）定义了能量量表，可用于调整活性Ornstein-Uhlenbeck粒子（AOUP）模型的模型参数，以实现在密度变化上近似不变的结构和动力学。所需的参数更改是根据单个配置的$ \ tc $的变化计算的，用于所有粒子坐标的均匀缩放。从理论上讲，所得方程对于涉及具有隐藏比例不变性的潜在能量功能的模型是合理的。该过程的有效性通过Kob-Andersen二进制Lennard-Jones AOUP模型的计算机模拟说明，这证明了径向分布函数的近似单位不变性和时间依赖性均值位移的线。
This paper shows that the configurational temperature of liquid-state theory, $\Tc$, defines an energy scale, which can be used for adjusting model parameters of active Ornstein-Uhlenbeck particle (AOUP) models in order to achieve approximately invariant structure and dynamics upon a density change. The required parameter changes are calculated from the variation of a single configuration's $\Tc$ for a uniform scaling of all particle coordinates. The resulting equations are justified theoretically for models involving a potential-energy function with hidden scale invariance. The validity of the procedure is illustrated by computer simulations of the Kob-Andersen binary Lennard-Jones AOUP model, demonstrating lines of approximate reduced-unit invariance of the radial distribution function and time-dependent mean-square displacement.
