Slow logarithmic relaxation in models with hierarchically constrained dynamics

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Brey, J. J.; Prados, A.;

A general kind of models with hierarchically constrained dynamics is shown to exhibit logarithmic anomalous relaxation, similarly to a variety of complex strongly interacting materials. The logarithmic behavior describes most of the decay of the response function.
  • References (8)

    [1] P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33, 645 (1986).

    [2] E. I. Shakhnovich and A. M. Gutin, Europhys. Lett. 9, 569 (1989).

    [3] H. M. Jaeger, C-h. Liu, and S. R. Nagel, Phys. Rev. Lett. 62, 40 (1989).

    [4] V. V. Bredikhin, V. A. Sidorov, O. B. Tsiok, E. V. Gurovich, and L. G. Khvostantsev, Europhys. Lett. 18, 111 (1992).

    [5] O. B. Tsiok, V. A. Sidorov, V. V. Bredikhin, L. G. Khvostantsev, V. N. Troitskiy, and L. I. Trusov, Phys. Rev. B 51, 12127 (1995).

    [6] A. Mehta, R. J. Needs, and S. Dattagupta, J. Stat. Phys. 68, 1131 (1992).

    [7] O. B. Tsiok, V. Brazhkin, A. G. Lyapin, and L. G. Khovstantsev, Phys. Rev. Lett. 80, 999 (1998).

    [8] L. Fabbian, W. G¨otze, F. Sciotino, P. Tartaglia, and F. Thiery, Phys. Rev. E 59, R1347 (1999).

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