Severe slowingdown and universality of the dynamics in disordered interacting manybody systems: ageing and ultraslow diffusion
(2014) In New Journal of Physics 16. Abstract
 Lowdimensional, manybody systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hardcore interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scalefree sticking times at the single particle level. While for a noninteracting particle we find anomalous diffusion of the powerlaw 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 manybody interactions leads to an ultraslow, logarithmic dynamics < x(2)(t)> similar or equal to log(1/2)t with a universal 1/2... (More)
 Lowdimensional, manybody systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hardcore interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scalefree sticking times at the single particle level. While for a noninteracting particle we find anomalous diffusion of the powerlaw 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 manybody 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:
http://lup.lub.lu.se/record/4941467
 author
 Sanders, Lloyd ^{LU} ; Lomholt, Michael A.; Lizana, Ludvig; Fogelmark, Karl ^{LU} ; Metzler, Ralf and Ambjörnsson, Tobias ^{LU}
 organization
 publishing date
 2014
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 singlefile diffusion, continuous time random walks, ageing
 in
 New Journal of Physics
 volume
 16
 publisher
 IOP Publishing Ltd.
 external identifiers

 wos:000346764000002
 scopus:84918799232
 ISSN
 13672630
 DOI
 10.1088/13672630/16/11/113050
 language
 English
 LU publication?
 yes
 id
 97ba5c4cf59e47269a8e7e9babac7a2f (old id 4941467)
 date added to LUP
 20150127 16:25:31
 date last changed
 20180311 03:47:38
@article{97ba5c4cf59e47269a8e7e9babac7a2f, abstract = {Lowdimensional, manybody systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hardcore interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scalefree sticking times at the single particle level. While for a noninteracting particle we find anomalous diffusion of the powerlaw 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 manybody 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.}, articleno = {113050}, author = {Sanders, Lloyd and Lomholt, Michael A. and Lizana, Ludvig and Fogelmark, Karl and Metzler, Ralf and Ambjörnsson, Tobias}, issn = {13672630}, keyword = {singlefile diffusion,continuous time random walks,ageing}, language = {eng}, publisher = {IOP Publishing Ltd.}, series = {New Journal of Physics}, title = {Severe slowingdown and universality of the dynamics in disordered interacting manybody systems: ageing and ultraslow diffusion}, url = {http://dx.doi.org/10.1088/13672630/16/11/113050}, volume = {16}, year = {2014}, }