Stationary and dynamical properties of a zero range process on scale-free networks

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dc.creatorNoh, Jae Dong
dc.date2005-07-11
dc.date2005-11-18
dc.date.accessioned2026-07-07T06:41:19Z
dc.date.available2026-07-07T06:41:19Z
dc.descriptionWe study the condensation phenomenon in a zero range process on scale-free networks. We show that the stationary state property depends only on the degree distribution of underlying networks. The model displays a stationary state phase transition between a condensed phase and an uncondensed phase, and the phase diagram is obtained analytically. As for the dynamical property, we find that the relaxation dynamics depends on the global structure of underlying networks. The relaxation time follows the power law $τ\sim L^z$ with the network size $L$ in the condensed phase. The dynamic exponent $z$ is found to take a different value depending on whether underlying networks have a tree structure or not.
dc.description9 pages, 6 eps figures, accepted version in PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0507239
dc.identifierhttp://arxiv.org/abs/cond-mat/0507239
dc.identifierPhys. Rev. E 72, 056123 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.056123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101627
dc.subjectStatistical Mechanics
dc.titleStationary and dynamical properties of a zero range process on scale-free networks
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