paper

Itineration of the Internet over Nonequilibrium Stationary States in Tsallis Statistics

arXiv:cond-mat/0204336 · doi:10.1103/PhysRevE.67.016106

Abstract

The cumulative probability distribution of sparseness time interval in the Internet is studied by the method of data analysis. Round-trip time between a local host and a destination host through ten odd routers is measured using the Ping Command, i.e., doing echo experiment. It is found that the data are well described by the q-exponential destributions, which maximize the Tsallis entropy indexed by q less or larger than unity. The network is observed to itinerate over a series of the nonequilibrium stationary states characterized by Tsallis statistics.

15 pages, 5 figures

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