Critical transient in the Barab\'asi model of human dynamics
Physics and Society
2007-05-23 v1 Statistical Mechanics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0702110,
title = {Critical transient in the Barab\'asi model of human dynamics},
author = {Andrea Gabrielli and Guido Caldarelli},
journal= {arXiv preprint arXiv:physics/0702110},
year = {2007}
}
Comments
4 pages uses psfig.sty