Universality and nonuniversality of mobility in heterogeneous singlefile systems and Rouse chains
(2014) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 89(3). Abstract
 We study analytically the tracer particle mobility in singlefile 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 singlefile 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 Laplacespace mobility. If rho is light tailed (first moment exists), we find a selfaveraging 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 singlefile 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 singlefile 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 Laplacespace mobility. If rho is light tailed (first moment exists), we find a selfaveraging 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(1alpha) (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 selfaveraging. The results are corroborated by simulations. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/4417574
 author
 Lomholt, Michael A. and Ambjörnsson, Tobias ^{LU}
 organization
 publishing date
 2014
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
 volume
 89
 issue
 3
 publisher
 American Physical Society
 external identifiers

 wos:000332183000002
 scopus:84898985358
 ISSN
 15393755
 DOI
 10.1103/PhysRevE.89.032101
 language
 English
 LU publication?
 yes
 id
 8744b389c5364804addbf27d0544cd71 (old id 4417574)
 date added to LUP
 20140430 12:03:04
 date last changed
 20190716 01:22:57
@article{8744b389c5364804addbf27d0544cd71, abstract = {We study analytically the tracer particle mobility in singlefile 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 singlefile 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 Laplacespace mobility. If rho is light tailed (first moment exists), we find a selfaveraging 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(1alpha) (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 selfaveraging. The results are corroborated by simulations.}, articleno = {032101}, author = {Lomholt, Michael A. and Ambjörnsson, Tobias}, issn = {15393755}, 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 singlefile systems and Rouse chains}, url = {http://dx.doi.org/10.1103/PhysRevE.89.032101}, volume = {89}, year = {2014}, }