Abstract
We study a dynamical realization of a Lévy diffusion process and the response of the diffusing system to an external perturbation. We find that the response is characterized by two time regimes, an early regime, still fitting the Green-Kubo prediction, albeit implying a conductivity which would diverge if this regime were unlimited, and a later regime, characterized by a constant conductivity but departing from the Green-Kubo prediction. We focus on the shape of the resulting distribution of particles, and we show that the anomalous properties of the response depend on one distribution tail growing much faster than the other.
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© 1995 Springer-Verlag
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Floriani, E., Trefán, G., Grigolini, P., West, B.J. (1995). A dynamical model leading to the breakdown of the Green-Kubo predictions. In: Shlesinger, M.F., Zaslavsky, G.M., Frisch, U. (eds) Lévy Flights and Related Topics in Physics. Lecture Notes in Physics, vol 450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59222-9_41
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DOI: https://doi.org/10.1007/3-540-59222-9_41
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