Slow relaxation dynamics and aging in random walks on activity driven temporal networks
Statistical Mechanics
2014-11-18 v1
Abstract
We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra \textit{et al.} Sci. Rep. srep00469 (2012)]. For realistic activity distributions with a power-law form, we observe the presence of a very slow relaxation dynamics compatible with aging effects. A theoretical description of this processes in achieved by means of a mapping to Bouchaud's trap model. The mapping highlights the profound difference in the dynamics of the random walks according to the value of the exponent in the activity distribution.
Cite
@article{arxiv.1411.4601,
title = {Slow relaxation dynamics and aging in random walks on activity driven temporal networks},
author = {Angélica S. Mata and Romualdo Pastor-Satorras},
journal= {arXiv preprint arXiv:1411.4601},
year = {2014}
}