TY  - JOUR
A1  - Sanders, Lloyd P.
A1  - Lomholt, Michael A.
A1  - Lizana, Ludvig
A1  - Fogelmark, Karl
A1  - Metzler, Ralf
A1  - Ambjoernsson, Tobias
T1  - Severe slowing-down and universality of the dynamics in disordered interacting many-body systems: ageing and ultraslow diffusion
JF  - New journal of physics : the open-access journal for physics
N2  - Low-dimensional, many-body systems are often characterized by ultraslow dynamics. We study a labelled particle in a generic system of identical particles with hard-core interactions in a strongly disordered environment. The disorder is manifested through intermittent motion with scale-free sticking times at the single particle level. While for a non-interacting particle we find anomalous diffusion of the power-law 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 many-body 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.
KW  - single-file diffusion
KW  - continuous time random walks
KW  - ageing
Y1  - 2014
U6  - https://doi.org/10.1088/1367-2630/16/11/113050
SN  - 1367-2630
VL  - 16
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -