https://doi.org/10.1140/epjb/e2014-50801-1
Regular Article
Slow relaxation dynamics and aging in random walks on activity driven temporal networks
1 Departamento de Física, Universidade Federal de Viçosa,
36571-000, Viçosa – MG, Brazil
2
Departament de Física i Enginyeria Nuclear, Universitat
Politècnica de Catalunya, Campus
Nord B4, 08034
Barcelona,
Spain
a
e-mail: angelica.mata@ufv.br
Received: 17 November 2014
Received in final form: 15 December 2014
Published online: 4 February 2015
We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [N. Perra, B. Gonçalves, 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 γ in the activity distribution.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015