Spectral rigidity of vehicular streams (Random Matrix Theory approach)

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dc.creatorKrbalek, Milan
dc.creatorSeba, Petr
dc.date2008-12-05
dc.date.accessioned2026-07-07T12:09:47Z
dc.date.available2026-07-07T12:09:47Z
dc.descriptionUsing the methods originally developed for Random Matrix Theory we derive an exact mathematical formula for number variance (introduced in [4]) describing a rigidity of particle ensembles with power-law repulsion. The resulting relation is consequently compared with the relevant statistics of the single-vehicle data measured on the Dutch freeway A9. The detected value of an inverse temperature, which can be identified as a coefficient of a mental strain of car drivers, is then discussed in detail with the respect to the traffic density and flow.
dc.description9 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0812.1106
dc.identifierhttp://arxiv.org/abs/0812.1106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209743
dc.subjectMathematical Physics
dc.titleSpectral rigidity of vehicular streams (Random Matrix Theory approach)
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