dorsal/arxiv
View SchemaCritical transient in the Barab\'asi model of human dynamics
| Authors | Andrea Gabrielli, Guido Caldarelli |
|---|---|
| Categories | |
| ArXiv ID | physics/0702110 |
| URL | https://arxiv.org/abs/physics/0702110 |
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.
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"abstract": "We introduce an exact probabilistic description for L=2 of the Barab\\\u0027asi\nmodel for the dynamics of a list of L tasks. This permits to study the problem\nout of stationarity, and to solve explicitly the extremal limit case where a\ncritical behavior for the waiting time distribution is observed. This behavior\ndeviates at any finite time from that of the stationary state. We study also\nthe characteristic relaxation time for finite time deviations from stationarity\nin all cases showing that it diverges in the extremal limit confirming that\nthis deviations are important at all time.",
"arxiv_id": "physics/0702110",
"authors": [
"Andrea Gabrielli",
"Guido Caldarelli"
],
"categories": [
"physics.soc-ph",
"cond-mat.stat-mech"
],
"title": "Critical transient in the Barab\\\u0027asi model of human dynamics",
"url": "https://arxiv.org/abs/physics/0702110"
},
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"type": "Model",
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