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

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Title:	Slow relaxation dynamics and aging in random walks on activity driven temporal networks
Author:	Sousa da Mata, Angelica; Pastor Satorras, Romualdo
Other authors:	Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear; Universitat Politècnica de Catalunya. SIMCON - Grup de Recerca de Simulació per Ordinador en Matèria Condensada
Abstract:	We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [N. Perra, B. Gon, calves, R. Pastor-Satorras, A. Vespignani, Sci. Rep. 2, 469 (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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Física -Social networks -- Mathematical models. -TIME-VARYING NETWORKS -COMPLEX NETWORKS -Xarxes socials -- Models matemàtics
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Document type:	Article - Submitted version Article
Published by:	Springer
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