Critical transient in the Barabási model of human dynamics

Details Critical transient in the Barabási model of human dynamics Critical transient in the Barabási model of human dynamics

2007-02-13

arxiv.org/abs/physics/0702110v1

Physics

Physics and Society

4 pages uses psfig.sty

Scientific paper

We introduce an exact probabilistic description for L=2 of the Barab\'asi 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.

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