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Title: | A sluggish random walk with subdiffusive spread |
Authors: | ZODAGE, ANIKET Allen, Rosalind J. Evans, Martin R. Majumdar, Satya N. Dept. of Physics |
Keywords: | Anomalous diffusion Persistence Dynamics Models 2023 |
Issue Date: | Mar-2023 |
Publisher: | IOP Publishing |
Citation: | Journal of Statistical Mechanics: Theory and Experiment, 2023(03), 033211. |
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 |
URI: | https://doi.org/10.1088/1742-5468/acc4b1 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8448 |
ISSN: | 1742-5468 |
Appears in Collections: | JOURNAL ARTICLES |
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