Anomalous diffusion in random-walks with memory-induced relocations
arXiv:1910.09913 · doi:10.3389/fphy.2019.00112
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.
1 Figure. Published on https://doi.org/10.3389/fphy.2019.00112
References in corpus (12)
- First Passage Under Restart
- Diffusion in a potential landscape with stochastic resetting
- Diffusion with resetting in arbitrary spatial dimension
- Dynamical transition in the temporal relaxation of stochastic processes under resetting
- Random walks with preferential relocations to places visited in the past and their application to biology
- Monotonous continuous-time random walks with drift and stochastic reset events
- Localization transition induced by learning in random searches
- Stochastic resetting in underdamped Brownian motion
- Continuous-time random walks with reset events: Historical background and new perspectives
- Interacting Brownian Motion with Resetting
- Protein-DNA computation by stochastic assembly cascade
- Solvable random walk model with memory and its relations with Markovian models of anomalous diffusion