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Tracer particles in two-dimensional elastic networks diffuse logarithmically slow

Lizana, Ludvig ; Ambjörnsson, Tobias LU and Lomholt, Michael A. (2017) In Journal of Physics A: Mathematical and Theoretical 50(3).
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 growth is so slow (fitted exponent ∼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 the tracer particle's MSD.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
diffusion, logarithmic dynamics, membrane, single-particle tracking
in
Journal of Physics A: Mathematical and Theoretical
volume
50
issue
3
article number
034001
publisher
IOP Publishing
external identifiers
  • scopus:85008192108
  • wos:000390819900001
ISSN
1751-8113
DOI
10.1088/1751-8121/50/3/034001
language
English
LU publication?
yes
id
e26da33d-355a-4ad3-a924-26164c3f3507
date added to LUP
2017-02-15 08:30:02
date last changed
2025-04-04 15:08:43
@article{e26da33d-355a-4ad3-a924-26164c3f3507,
  abstract     = {{<p>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 growth is so slow (fitted exponent ∼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 the tracer particle's MSD.</p>}},
  author       = {{Lizana, Ludvig and Ambjörnsson, Tobias and Lomholt, Michael A.}},
  issn         = {{1751-8113}},
  keywords     = {{diffusion; logarithmic dynamics; membrane; single-particle tracking}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{3}},
  publisher    = {{IOP Publishing}},
  series       = {{Journal of Physics A: Mathematical and Theoretical}},
  title        = {{Tracer particles in two-dimensional elastic networks diffuse logarithmically slow}},
  url          = {{http://dx.doi.org/10.1088/1751-8121/50/3/034001}},
  doi          = {{10.1088/1751-8121/50/3/034001}},
  volume       = {{50}},
  year         = {{2017}},
}