Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8448
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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