Ageing single file motion
(2014) In The European Physical Journal. Special Topics 223(14). p.32873293 Abstract
 The mean squared displacement of a tracer particle in a single file of identical particles with excluded volume interactions shows the famed Harris scaling aEurox (2)(t)aEuro parts per thousand a parts per thousand integral K (1/2) t (1/2) as function of time. Here we study what happens to this law when each particle of the single file interacts with the environment such that it is transiently immobilised for times tau with a powerlaw distribution psi(tau) a parts per thousand integral (tau(a similar to...))(alpha), and different ranges of the exponent alpha are considered. We find a dramatic slowdown of the motion of a tracer particle from Harris' law to an ultraslow, logarithmic time evolution aEurox (2)(t)aEuro parts per thousand a... (More)
 The mean squared displacement of a tracer particle in a single file of identical particles with excluded volume interactions shows the famed Harris scaling aEurox (2)(t)aEuro parts per thousand a parts per thousand integral K (1/2) t (1/2) as function of time. Here we study what happens to this law when each particle of the single file interacts with the environment such that it is transiently immobilised for times tau with a powerlaw distribution psi(tau) a parts per thousand integral (tau(a similar to...))(alpha), and different ranges of the exponent alpha are considered. We find a dramatic slowdown of the motion of a tracer particle from Harris' law to an ultraslow, logarithmic time evolution aEurox (2)(t)aEuro parts per thousand a parts per thousand integral K (0) log (1/2)(t) when 0 < alpha < 1. In the intermediate case 1 < alpha < 2, we observe a powerlaw form for the mean squared displacement, with a modified scaling exponent as compared to Harris' law. Once alpha is larger than two, the Brownian single file behaviour and thus Harris' law are restored. We also point out that this process is weakly nonergodic in the sense that the time and ensemble averaged mean squared displacements are disparate. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4944660
 author
 Metzler, R. ; Sanders, Lloyd ^{LU} ; Lomholt, M. A. ; Lizana, L. ; Fogelmark, Karl ^{LU} and Ambjörnsson, Tobias ^{LU}
 organization
 publishing date
 2014
 type
 Contribution to journal
 publication status
 published
 subject
 in
 The European Physical Journal. Special Topics
 volume
 223
 issue
 14
 pages
 3287  3293
 publisher
 Springer
 external identifiers

 wos:000346416400018
 scopus:84918528100
 ISSN
 19516355
 DOI
 10.1140/epjst/e2014023335
 language
 English
 LU publication?
 yes
 id
 5b5e11587ef34fba966d530ef7e9d8e7 (old id 4944660)
 date added to LUP
 20160401 14:09:17
 date last changed
 20210623 04:25:49
@article{5b5e11587ef34fba966d530ef7e9d8e7, abstract = {The mean squared displacement of a tracer particle in a single file of identical particles with excluded volume interactions shows the famed Harris scaling aEurox (2)(t)aEuro parts per thousand a parts per thousand integral K (1/2) t (1/2) as function of time. Here we study what happens to this law when each particle of the single file interacts with the environment such that it is transiently immobilised for times tau with a powerlaw distribution psi(tau) a parts per thousand integral (tau(a similar to...))(alpha), and different ranges of the exponent alpha are considered. We find a dramatic slowdown of the motion of a tracer particle from Harris' law to an ultraslow, logarithmic time evolution aEurox (2)(t)aEuro parts per thousand a parts per thousand integral K (0) log (1/2)(t) when 0 < alpha < 1. In the intermediate case 1 < alpha < 2, we observe a powerlaw form for the mean squared displacement, with a modified scaling exponent as compared to Harris' law. Once alpha is larger than two, the Brownian single file behaviour and thus Harris' law are restored. We also point out that this process is weakly nonergodic in the sense that the time and ensemble averaged mean squared displacements are disparate.}, author = {Metzler, R. and Sanders, Lloyd and Lomholt, M. A. and Lizana, L. and Fogelmark, Karl and Ambjörnsson, Tobias}, issn = {19516355}, language = {eng}, number = {14}, pages = {32873293}, publisher = {Springer}, series = {The European Physical Journal. Special Topics}, title = {Ageing single file motion}, url = {http://dx.doi.org/10.1140/epjst/e2014023335}, doi = {10.1140/epjst/e2014023335}, volume = {223}, year = {2014}, }