论文标题
活动物质系统中的波动散落关系
Fluctuation-Dissipation Relations in Active Matter Systems
论文作者
论文摘要
我们通过研究活跃的Ornstein-uhlenbeck粒子（AOUP）模型的线性响应研究了自构粒子的非平衡特征。我们以在没有扰动的情况下计算出的相关性来表达线性响应，提出了特别紧凑且可读性的波动散落关系（FDR）：这种表达明确地分离了平衡和非平衡贡献，这是由于自我强化而引起的。作为一个案例研究，我们考虑限制在单孔和双孔电势中的非相互作用的AOUP。在前一种情况下，我们还揭示了维数的效果，研究一个，两个和三维动力学。我们表明，可以从FDR推导有关与平衡距离的信息，从而证明位置和速度变量在非平衡弛豫中的作用。
We investigate the non-equilibrium character of self-propelled particles through the study of the linear response of the active Ornstein-Uhlenbeck particle (AOUP) model. We express the linear response in terms of correlations computed in the absence of perturbations, proposing a particularly compact and readable fluctuation-dissipation relation (FDR): such an expression explicitly separates equilibrium and non-equilibrium contributions due to self-propulsion. As a case study, we consider non-interacting AOUP confined in single-well and double-well potentials. In the former case, we also unveil the effect of dimensionality, studying one, two, and three-dimensional dynamics. We show that information about the distance from equilibrium can be deduced from the FDR, putting in evidence the roles of position and velocity variables in the non-equilibrium relaxation.
