Abstract
We investigate in some detail the relaxation process in self similar hierarchies. We find that the process can be divided in four different time regimes. After an initial phase in which the connectivity of the hierarchy determines the relaxation, the system enters a kind of stationary state, which can be accurately described by a simple analytical sink-picture. At longer times the behavior of the process is correctly described by the idea of quasiequilibrium. In this regime, propagators decay with power-laws. Finally, the global equilibrium state is reached, and the evolution stops.
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References
Lundgren, L., Nordblad, P., Svedlindh, P., Beckman, O.: J. Appl. Phys.57(1), 3371 (1985)
Alba, M., Ocio, M., Hammann, J.: Europhys. Lett.2(1), 45 (1986)
Palmer, R.: Adv. Phys.31, 669 (1982)
Ogielski, A.T., Stein, D.L.: Phys. Rev. Lett.55(15), 1634 (1985)
Hoffmann, K.H., Sibani, P.: Z. Phys. B80, 429 (1990)
Sibani, P., Hoffmann, K.H.: Europhys. Lett.16(5), 423 (1991)
Hoffmann, K.H., Grossmann, S., Wegner, F.: Z. Phys. B60, 401 (1985)
Sibani, P., Schön, J.C., Salamon, P., Anderson, J.-O.: Europhys. Lett.22(7), 479 (1991); Sibani, P., Schriver, P.: Phys. Rev. B49, 6667 (1994)
van Kampen, N.G.: Stochastic processes in physics and chemistry. Amsterdam: North Holland 1981
Fischer, K.A., Hertz, J.A.: Spin glasses. Cambridge: Cambridge University Press 1991