Advanced

Severe slowing-down and universality of the dynamics in disordered interacting many-body systems: ageing and ultraslow diffusion

Sanders, Lloyd LU ; Lomholt, Michael A.; Lizana, Ludvig; Fogelmark, Karl LU ; Metzler, Ralf and Ambjörnsson, Tobias LU (2014) In New Journal of Physics 16.
Abstract
Low-dimensional, many-body systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hard-core interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scale-free sticking times at the single particle level. While for a non-interacting particle we find anomalous diffusion of the power-law form < x(2)(t)> similar or equal to t(alpha) of the mean squared displacement with 0 < alpha < 1, we demonstrate here that the combination of the disordered environment with the many-body interactions leads to an ultraslow, logarithmic dynamics < x(2)(t)> similar or equal to log(1/2)t with a universal 1/2... (More)
Low-dimensional, many-body systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hard-core interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scale-free sticking times at the single particle level. While for a non-interacting particle we find anomalous diffusion of the power-law form < x(2)(t)> similar or equal to t(alpha) of the mean squared displacement with 0 < alpha < 1, we demonstrate here that the combination of the disordered environment with the many-body interactions leads to an ultraslow, logarithmic dynamics < x(2)(t)> similar or equal to log(1/2)t with a universal 1/2 exponent. Even when a characteristic sticking time exists but the fluctuations of sticking times diverge we observe the mean squared displacement < x(2)(t)> similar or equal to t(gamma) with 0 < gamma < 1/2, that is slower than the famed Harris law < x(2)(t)> similar or equal to t(1/2) without disorder. We rationalize the results in terms of a subordination to a counting process, in which each transition is dominated by the forward waiting time of an ageing continuous time process. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
single-file diffusion, continuous time random walks, ageing
in
New Journal of Physics
volume
16
publisher
IOP Publishing Ltd.
external identifiers
  • wos:000346764000002
  • scopus:84918799232
ISSN
1367-2630
DOI
10.1088/1367-2630/16/11/113050
language
English
LU publication?
yes
id
97ba5c4c-f59e-4726-9a8e-7e9babac7a2f (old id 4941467)
date added to LUP
2015-01-27 16:25:31
date last changed
2017-11-19 03:47:12
@article{97ba5c4c-f59e-4726-9a8e-7e9babac7a2f,
  abstract     = {Low-dimensional, many-body systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hard-core interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scale-free sticking times at the single particle level. While for a non-interacting particle we find anomalous diffusion of the power-law form &lt; x(2)(t)&gt; similar or equal to t(alpha) of the mean squared displacement with 0 &lt; alpha &lt; 1, we demonstrate here that the combination of the disordered environment with the many-body interactions leads to an ultraslow, logarithmic dynamics &lt; x(2)(t)&gt; similar or equal to log(1/2)t with a universal 1/2 exponent. Even when a characteristic sticking time exists but the fluctuations of sticking times diverge we observe the mean squared displacement &lt; x(2)(t)&gt; similar or equal to t(gamma) with 0 &lt; gamma &lt; 1/2, that is slower than the famed Harris law &lt; x(2)(t)&gt; similar or equal to t(1/2) without disorder. We rationalize the results in terms of a subordination to a counting process, in which each transition is dominated by the forward waiting time of an ageing continuous time process.},
  articleno    = {113050},
  author       = {Sanders, Lloyd and Lomholt, Michael A. and Lizana, Ludvig and Fogelmark, Karl and Metzler, Ralf and Ambjörnsson, Tobias},
  issn         = {1367-2630},
  keyword      = {single-file diffusion,continuous time random walks,ageing},
  language     = {eng},
  publisher    = {IOP Publishing Ltd.},
  series       = {New Journal of Physics},
  title        = {Severe slowing-down and universality of the dynamics in disordered interacting many-body systems: ageing and ultraslow diffusion},
  url          = {http://dx.doi.org/10.1088/1367-2630/16/11/113050},
  volume       = {16},
  year         = {2014},
}