Abstract.

We investigate the mean-square displacement (MSD) for random motion governed by the generalized Langevin equation for memory functions that contain two different time scales: In the first model, the memory kernel consists of a delta peak and a single-exponential and in the second model of the sum of two exponentials. In particular, we investigate the scenario where the long-time exponential kernel contribution is negative. The competition between positive and negative friction memory contributions produces an enhanced transient persistent regime in the MSD, which is relevant for biological motility and active matter systems.

Graphical abstract

中文翻译：

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负摩擦记忆引起持续运动

摘要。

我们研究了由广义朗格文方程控制的包含两个不同时标的记忆函数的随机运动的均方位移（MSD）：在第一个模型中，记忆核由一个增量峰和一个单指数组成，在两个指数之和的第二个模型。特别是，我们研究了长期指数内核贡献为负的情况。正向和负向摩擦记忆贡献之间的竞争在MSD中产生了增强的瞬态持续状态，这与生物运动性和活性物质系统有关。

图形概要