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

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  • Angélica Sousa da Mata
  • Romualdo Pastor-Satorras

Abstract

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Angélica Sousa da Mata & Romualdo Pastor-Satorras, 2015. "Slow relaxation dynamics and aging in random walks on activity driven temporal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(2), pages 1-8, February.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:2:p:1-8:10.1140/epjb/e2014-50801-1
    DOI: 10.1140/epjb/e2014-50801-1
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    Cited by:

    1. Lee, Sang Hoon & Holme, Petter, 2019. "Navigating temporal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 288-296.

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    Keywords

    Statistical and Nonlinear Physics;

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