Fachbereich Physik, Freie Universität Berlin, 14195, Berlin, Germany.
Eur Phys J E Soft Matter. 2020 Oct 23;43(10):67. doi: 10.1140/epje/i2020-11992-5.
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.
我们研究了由包含两个不同时间尺度的记忆函数的广义朗之万方程控制的随机运动的均方位移（MSD）：在第一个模型中，记忆核由一个δ峰和一个单指数组成，在第二个模型中由两个指数的和组成。特别是，我们研究了长时指数核贡献为负的情况。正摩擦记忆贡献和负摩擦记忆贡献之间的竞争产生了 MSD 中的增强瞬态持久状态，这对于生物运动和活性物质系统是相关的。
