Spectral rigidity of vehicular streams ( Random Matrix Theory approach )
نویسندگان
چکیده
Using the methods originally developed for Random Matrix Theory we derive an exact mathematical formula for number variance ∆N(L) (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 β, 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 J. PACS. 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion – 89.40.-a transportation – 05.45.-a Nonlinear dynamics and chaos
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