Itineration of the Internet over Nonequilibrium Stationary States in Tsallis Statistics

TL;DR

This paper analyzes the Internet's sparseness time intervals using Tsallis statistics, revealing that the network operates over nonequilibrium stationary states characterized by q-exponential distributions.

Contribution

It introduces a novel application of Tsallis statistics to model Internet traffic dynamics and demonstrates the network's itineration over nonequilibrium stationary states.

Findings

Sparseness time intervals follow q-exponential distributions

Internet operates over nonequilibrium stationary states

Tsallis entropy effectively models network dynamics

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.