Anomalous diffusion in random-walks with memory-induced relocations

Axel Masó-Puigdellosas*, Daniel Campos, Vicenç Mendez

*Corresponding author for this work

Research output: Chapter in BookChapterResearchpeer-review

2 Citations (Scopus)

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.

Original languageAmerican English
Title of host publicationAnomalous Transport: Applications, Mathematical Perspectives, and Big Data
Volume7
EditionJULY
DOIs
Publication statusPublished - 1 Jul 2019

Publication series

NameFrontiers in Physics
PublisherFrontiers Media S.A.
ISSN (Print)2296-424X

Keywords

  • Anomalous diffusion
  • Random walk
  • Relocations
  • Resets
  • Stochastic movement

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