TY  - JOUR
A1  - Padash, Amin
A1  - Aghion, Erez
A1  - Schulz, Alexander
A1  - Barkai, Eli
A1  - Chechkin, Aleksei V.
A1  - Metzler, Ralf
A1  - Kantz, Holger
T1  - Local equilibrium properties of ultraslow diffusion in the Sinai model
JF  - New journal of physics
N2  - We perform numerical studies of a thermally driven, overdamped particle in a random quenched force field, known as the Sinai model. We compare the unbounded motion on an infinite 1-dimensional domain to the motion in bounded domains with reflecting boundaries and show that the unbounded motion is at every time close to the equilibrium state of a finite system of growing size. This is due to time scale separation: inside wells of the random potential, there is relatively fast equilibration, while the motion across major potential barriers is ultraslow. Quantities studied by us are the time dependent mean squared displacement, the time dependent mean energy of an ensemble of particles, and the time dependent entropy of the probability distribution. Using a very fast numerical algorithm, we can explore times up top 10(17) steps and thereby also study finite-time crossover phenomena.
KW  - Sinai diffusion
KW  - clustering
KW  - local equilibrium
Y1  - 2022
U6  - https://doi.org/10.1088/1367-2630/ac7df8
SN  - 1367-2630
VL  - 24
IS  - 7
PB  - IOP Publishing
CY  - Bristol
ER  -