Slow relaxation dynamics and aging in random walks on activity driven temporal networks

Angélica S. Mata; Romualdo Pastor-Satorras

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arXiv · 1411.4601

Slow relaxation dynamics and aging in random walks on activity driven temporal networks

Angélica S. Mata·Romualdo Pastor-Satorras

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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 $\gamma$ in the activity distribution.

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Angélica S. Mata, Romualdo Pastor-Satorras. 2014-11-17. Slow relaxation dynamics and aging in random walks on activity driven temporal networks. https://arxiv.org/abs/1411.4601

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