Global first passage times on fractal lattices

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dc.creatorHaynes, C. P.
dc.creatorRoberts, A. P.
dc.date2008-09-03
dc.date.accessioned2026-07-07T10:00:16Z
dc.date.available2026-07-07T10:00:16Z
dc.descriptionThe global first passage time density of a network is the probability that a random walker released at a random site arrives at an absorbing trap at time T. We find simple expressions for the mean global first passage time <T> for five fractals. We also find an exact expression for the second moment <T^2> and show that the variance of the first passage time, Var(T), scales with the number of nodes within the fractal N such that Var(T) ~ N^(4/\bar{d}), where \bar{d} is the spectral dimension.
dc.description10 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0809.0563
dc.identifierhttp://arxiv.org/abs/0809.0563
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168284
dc.subjectStatistical Mechanics
dc.titleGlobal first passage times on fractal lattices
dc.typetext

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