TL;DR
This paper explores how correlations among system components can lead to Tsallis' statistical behavior, demonstrating that coupled harmonic oscillators can exhibit such non-extensive statistics.
Contribution
It proposes a dynamical explanation for Tsallis' statistics based on correlations reducing phase space, supported by analysis of coupled harmonic oscillators.
Findings
Correlations among constituents can produce Tsallis' statistics.
Coupled harmonic oscillators can exhibit Tsallis-type behavior.
Provides a dynamical origin for non-extensive statistics.
Abstract
We discuss a possible origin of Tsallis' statistics from the correlation among constituents which reduces the phase space of the system. We also show that in the system of coupled linear harmonic oscillators can exhibit a Tsallis type behavior.
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