Tracer Particles in Two-Dimensional Elastic Networks Diffuse Logarithmically Slow
Statistical Mechanics
2017-01-04 v1
Abstract
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 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.
Cite
@article{arxiv.1607.00493,
title = {Tracer Particles in Two-Dimensional Elastic Networks Diffuse Logarithmically Slow},
author = {Ludvig Lizana and Tobias Ambjörnsson and Michael A. Lomholt},
journal= {arXiv preprint arXiv:1607.00493},
year = {2017}
}