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

نویسندگان

  • Angélica S. Mata
  • Romualdo Pastor-Satorras
چکیده

We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra 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 γ in the activity distribution. PACS. 89.75.Hc Networks and genealogical trees – 05.40.Fb Random walks and Levy flights

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تاریخ انتشار 2014