Anomalous diffusion in random-walks with memory-induced relocations
Statistical Mechanics
2019-10-23 v1
Abstract
In this minireview we present the main results regarding the transport properties of stochastic movement with relocations to known positions. To do so, we formulate the problem in a general manner to see several cases extensively studied during the last years as particular situations within a framework of random walks with memory. We focus on (i) stochastic motion with resets to its initial position followed by a waiting period, and (ii) diffusive motion with memory-driven relocations to previously visited positions. For both of them we show how the overall transport regime may be actively modified by the details of the relocation mechanism.
Cite
@article{arxiv.1910.09913,
title = {Anomalous diffusion in random-walks with memory-induced relocations},
author = {Axel Masó-Puigdellosas and Daniel Campos and Vicenç Méndez},
journal= {arXiv preprint arXiv:1910.09913},
year = {2019}
}
Comments
1 Figure. Published on https://doi.org/10.3389/fphy.2019.00112