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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | JOURNAL ARTICLES |
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