Dissimilar bouncy walkers
(2011) In Journal of Chemical Physics 134(4). Abstract
 We consider the dynamics of a onedimensional system consisting of dissimilar hardcore interacting (bouncy) random walkers. The walkers' (diffusing particles') friction constants ξ(n), where n labels different bouncy walkers, are drawn from a distribution ϱ(ξ(n)). We provide an approximate analytic solution to this recent singlefile problem by combining harmonization and effective medium techniques. Two classes of systems are identified: when ϱ(ξ(n)) is heavytailed, ϱ(ξ(n))≃ξ(n) (1α) (0<α<1) for large ξ(n), we identify a new universality class in which density relaxations, characterized by the dynamic structure factor S(Q, t), follows a MittagLeffler relaxation, and the mean square displacement (MSD) of a tracer particle grows... (More)
 We consider the dynamics of a onedimensional system consisting of dissimilar hardcore interacting (bouncy) random walkers. The walkers' (diffusing particles') friction constants ξ(n), where n labels different bouncy walkers, are drawn from a distribution ϱ(ξ(n)). We provide an approximate analytic solution to this recent singlefile problem by combining harmonization and effective medium techniques. Two classes of systems are identified: when ϱ(ξ(n)) is heavytailed, ϱ(ξ(n))≃ξ(n) (1α) (0<α<1) for large ξ(n), we identify a new universality class in which density relaxations, characterized by the dynamic structure factor S(Q, t), follows a MittagLeffler relaxation, and the mean square displacement (MSD) of a tracer particle grows as t(δ) with time t, where δ = α∕(1 + α). If instead ϱ is lighttailed such that the mean friction constant exist, S(Q, t) decays exponentially and the MSD scales as t(1/2). We also derive tracer particle force response relations. All results are corroborated by simulations and explained in a simplified model. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1832507
 author
 Lomholt, Michael A ; Lizana, Ludvig and Ambjörnsson, Tobias ^{LU}
 organization
 publishing date
 2011
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal of Chemical Physics
 volume
 134
 issue
 4
 article number
 045101
 publisher
 American Institute of Physics (AIP)
 external identifiers

 wos:000286897600127
 pmid:21280802
 scopus:79551609552
 pmid:21280802
 ISSN
 00219606
 DOI
 10.1063/1.3526941
 language
 English
 LU publication?
 yes
 id
 1773bf5b9c694d508b1ff4f4250e98ba (old id 1832507)
 date added to LUP
 20160401 10:01:00
 date last changed
 20200105 04:08:30
@article{1773bf5b9c694d508b1ff4f4250e98ba, abstract = {We consider the dynamics of a onedimensional system consisting of dissimilar hardcore interacting (bouncy) random walkers. The walkers' (diffusing particles') friction constants ξ(n), where n labels different bouncy walkers, are drawn from a distribution ϱ(ξ(n)). We provide an approximate analytic solution to this recent singlefile problem by combining harmonization and effective medium techniques. Two classes of systems are identified: when ϱ(ξ(n)) is heavytailed, ϱ(ξ(n))≃ξ(n) (1α) (0<α<1) for large ξ(n), we identify a new universality class in which density relaxations, characterized by the dynamic structure factor S(Q, t), follows a MittagLeffler relaxation, and the mean square displacement (MSD) of a tracer particle grows as t(δ) with time t, where δ = α∕(1 + α). If instead ϱ is lighttailed such that the mean friction constant exist, S(Q, t) decays exponentially and the MSD scales as t(1/2). We also derive tracer particle force response relations. All results are corroborated by simulations and explained in a simplified model.}, author = {Lomholt, Michael A and Lizana, Ludvig and Ambjörnsson, Tobias}, issn = {00219606}, language = {eng}, number = {4}, publisher = {American Institute of Physics (AIP)}, series = {Journal of Chemical Physics}, title = {Dissimilar bouncy walkers}, url = {http://dx.doi.org/10.1063/1.3526941}, doi = {10.1063/1.3526941}, volume = {134}, year = {2011}, }