Local equilibrium properties of ultraslow diffusion in the Sinai model
- 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.
Author details: | Amin PadashORCiD, Erez AghionORCiD, Alexander Schulz, Eli Barkai, Aleksei ChechkinORCiDGND, Ralf MetzlerORCiDGND, Holger KantzORCiD |
---|---|
DOI: | https://doi.org/10.1088/1367-2630/ac7df8 |
ISSN: | 1367-2630 |
Title of parent work (English): | New journal of physics |
Publisher: | IOP Publishing |
Place of publishing: | Bristol |
Publication type: | Article |
Language: | English |
Date of first publication: | 2022/07/19 |
Publication year: | 2022 |
Release date: | 2024/06/12 |
Tag: | Sinai diffusion; clustering; local equilibrium |
Volume: | 24 |
Issue: | 7 |
Article number: | 073026 |
Number of pages: | 14 |
Funding institution: | Polish National Agency for Academic Exchange (NAWA); Israel Science; Foundation [1614/21]; German Science Foundation (DFG) [ME 1535/12-1];; Foundation for Polish Science (Fundacja na rzecz Nauki Polskiej,; Humboldt Polish Honorary Research Scholarship) |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |
Publishing method: | Open Access / Gold Open-Access |
DOAJ gelistet | |
License (German): | CC-BY - Namensnennung 4.0 International |