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arXiv 2304.09684cond-mat.stat-mechcond-mat.soft
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驱动粒子在耗散相关介质中的记忆诱导振荡

Memory-induced oscillations of a driven particle in a dissipative correlated medium

Davide Venturelli, Andrea Gambassi

AI总结:

研究驱动粒子在耗散相关介质中的过阻尼动力学,发现其在非平衡稳态偏离平均位置后表现出记忆诱导的阻尼振荡,并通过解析与数值模拟验证了该现象。

摘要:

粒子的过阻尼动力学通常受其与周围介质相互作用的影响,特别是在非平衡态下,以及当介质发展出空间和时间相关性时。在此我们考虑介质由具有弛豫动力学的标量高斯场建模的情况,粒子被移动的简谐阱以恒定速度拖拽穿过介质。这模拟了在近临界介质中进行主动微流变实验的设定。当粒子在非平衡稳态中偏离其平均位置时,其随后的弛豫表现出阻尼振荡。这与最近在粘弹性流体中预测和观察到的现象类似,但不同于无驱动或过阻尼马尔可夫动力学的情况,后两者中不会发生振荡。我们根据粒子与介质的底层介观模型参数表征了这些振荡模式,并通过数值模拟证实了我们的解析预测。

英文摘要:

The overdamped dynamics of a particle is in general affected by its interaction with the surrounding medium, especially out of equilibrium, and when the latter develops spatial and temporal correlations. Here we consider the case in which the medium is modeled by a scalar Gaussian field with relaxational dynamics, and the particle is dragged at constant velocity through the medium by a moving harmonic trap. This mimics the setting of an active microrheology experiment conducted in a near-critical medium. When the particle is displaced from its average position in the nonequilibrium steady state, its subsequent relaxation is shown to feature damped oscillations. This is similar to what has been recently predicted and observed in viscoelastic fluids, but differs from what happens in the absence of driving or for an overdamped Markovian dynamics, in which cases oscillations cannot occur. We characterize these oscillating modes in terms of the parameters of the underlying mesoscopic model for the particle and the medium, confirming our analytical predictions via numerical simulations.

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