dc.contributor.author |
ZODAGE, ANIKET |
en_US |
dc.contributor.author |
Allen, Rosalind J. |
en_US |
dc.contributor.author |
Evans, Martin R. |
en_US |
dc.contributor.author |
Majumdar, Satya N. |
en_US |
dc.date.accessioned |
2024-02-05T07:27:15Z |
|
dc.date.available |
2024-02-05T07:27:15Z |
|
dc.date.issued |
2023-03 |
en_US |
dc.identifier.citation |
Journal of Statistical Mechanics: Theory and Experiment, 2023(03), 033211. |
en_US |
dc.identifier.issn |
1742-5468 |
en_US |
dc.identifier.uri |
https://doi.org/10.1088/1742-5468/acc4b1 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8448 |
|
dc.description.abstract |
We study a one-dimensional sluggish random walk with space dependent transition probabilities between nearest-neighbour lattice sites. Motivated by trap models of slow dynamics, we consider a model in which the trap depth increases logarithmically with distance from the origin. This leads to a random walk which has symmetric transition probabilities that decrease with distance |k | from the origin as 1/|k| for large |k|. We show that the typical position after time t scales as t(1/3 )with a nontrivial scaling function for the position distribution which has a trough (a cusp singularity) at the origin. Therefore an effective central bias away from the origin emerges even though the transition |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
IOP Publishing |
en_US |
dc.subject |
Anomalous diffusion |
en_US |
dc.subject |
Persistence |
en_US |
dc.subject |
Dynamics |
en_US |
dc.subject |
Models |
en_US |
dc.subject |
2023 |
en_US |
dc.title |
A sluggish random walk with subdiffusive spread |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Physics |
en_US |
dc.identifier.sourcetitle |
Journal of Statistical Mechanics: Theory and Experiment |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |