Critical transient in the Barabási model of human dynamics

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We introduce an exact probabilistic description for L=2 of the Barabási model for the dynamics of a list of L tasks. This permits to study the problem out of stationarity, and to solve explicitly the extremal limit case where a critical behavior for the waiting time distribution is observed. This behavior deviates at any finite time from that of the stationary state. We study also the characteristic relaxation time for finite time deviations from stationarity in all cases showing that it diverges in the extremal limit confirming that this deviations are important at all time.
4 pages uses psfig.sty

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Physics and Society, Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/123995

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0702110
 http://arxiv.org/abs/physics/0702110

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arXiv