Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Universality and nonuniversality of mobility in heterogeneous single-file systems and Rouse chains

Lomholt, Michael A. and Ambjörnsson, Tobias LU (2014) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 89(3).
Abstract
We study analytically the tracer particle mobility in single-file systems with distributed friction constants. Our system serves as a prototype for nonequilibrium, heterogeneous, strongly interacting Brownian systems. The long time dynamics for such a single-file setup belongs to the same universality class as the Rouse model with dissimilar beads. The friction constants are drawn from a density rho(xi), and we derive an asymptotically exact solution for the mobility distribution P[mu(0)(s)], where mu(0)(s) is the Laplace-space mobility. If rho is light tailed (first moment exists), we find a self-averaging behavior: P[mu(0)(s)] = delta[mu(0)(s) - mu(s)], with mu(s) alpha s(1/2). When rho(xi) is heavy tailed, rho(xi) similar or equal to... (More)
We study analytically the tracer particle mobility in single-file systems with distributed friction constants. Our system serves as a prototype for nonequilibrium, heterogeneous, strongly interacting Brownian systems. The long time dynamics for such a single-file setup belongs to the same universality class as the Rouse model with dissimilar beads. The friction constants are drawn from a density rho(xi), and we derive an asymptotically exact solution for the mobility distribution P[mu(0)(s)], where mu(0)(s) is the Laplace-space mobility. If rho is light tailed (first moment exists), we find a self-averaging behavior: P[mu(0)(s)] = delta[mu(0)(s) - mu(s)], with mu(s) alpha s(1/2). When rho(xi) is heavy tailed, rho(xi) similar or equal to xi(-1-alpha) (0 < alpha < 1) for large xi, we obtain moments <[mu(s)(0)(n)]> alpha s(beta n), where beta = 1/(1 + alpha) and there is no self-averaging. The results are corroborated by simulations. (Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
volume
89
issue
3
article number
032101
publisher
American Physical Society
external identifiers
  • wos:000332183000002
  • scopus:84898985358
  • pmid:24730784
ISSN
1539-3755
DOI
10.1103/PhysRevE.89.032101
language
English
LU publication?
yes
id
8744b389-c536-4804-addb-f27d0544cd71 (old id 4417574)
date added to LUP
2016-04-01 10:59:46
date last changed
2024-04-22 01:44:43
@article{8744b389-c536-4804-addb-f27d0544cd71,
  abstract     = {{We study analytically the tracer particle mobility in single-file systems with distributed friction constants. Our system serves as a prototype for nonequilibrium, heterogeneous, strongly interacting Brownian systems. The long time dynamics for such a single-file setup belongs to the same universality class as the Rouse model with dissimilar beads. The friction constants are drawn from a density rho(xi), and we derive an asymptotically exact solution for the mobility distribution P[mu(0)(s)], where mu(0)(s) is the Laplace-space mobility. If rho is light tailed (first moment exists), we find a self-averaging behavior: P[mu(0)(s)] = delta[mu(0)(s) - mu(s)], with mu(s) alpha s(1/2). When rho(xi) is heavy tailed, rho(xi) similar or equal to xi(-1-alpha) (0 &lt; alpha &lt; 1) for large xi, we obtain moments &lt;[mu(s)(0)(n)]&gt; alpha s(beta n), where beta = 1/(1 + alpha) and there is no self-averaging. The results are corroborated by simulations.}},
  author       = {{Lomholt, Michael A. and Ambjörnsson, Tobias}},
  issn         = {{1539-3755}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}},
  title        = {{Universality and nonuniversality of mobility in heterogeneous single-file systems and Rouse chains}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.89.032101}},
  doi          = {{10.1103/PhysRevE.89.032101}},
  volume       = {{89}},
  year         = {{2014}},
}