标题： 二维弹性网络中的示踪粒子对数缓慢扩散 显示英文标题

标题： Tracer Particles in Two-Dimensional Elastic Networks Diffuse Logarithmically Slow

摘要： 若干关于活体系统中标记分子或粒子的实验表明，它们移动异常缓慢——其均方位移（MSD）随时间增加的速度比线性慢。 旨在理解这些实验的主要模型预测，MSD 会以一个小于 1 的增长指数呈幂律增长。 然而，在一些实验中，指数小到$(\sim 0.1-0.2)$，这暗示着可能存在其他机制。 在本文中，我们从理论上证明了，在二维膜中由热涨落激发的面内集体模态会导致示踪粒子的均方位移出现对数时间依赖性。 显示英文摘要

摘要： Several experiments on tagged molecules or particles in living systems suggest that they move anomalously slow - their mean squared displacement (MSD) increase slower than linearly with time. Leading models aimed at understanding these experiments predict that the MSD grows as a power law with a growth exponent that is smaller than unity. However, in some experiments the exponent is so small $(\sim 0.1-0.2)$ that they hint towards other mechanisms at play. In this paper, we theoretically demonstrate how in-plane collective modes excited by thermal fluctuations in a two dimensional membrane lead to logarithmic time dependence for the mean square displacement of a tracer particle.