A nonlinear matter-field Hamiltonian analyzed with Renyi and Tsallis statistics

A.M. Kowalski and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2019, vol. 535, issue C

Abstract: We study the dynamics of a nonlinear matter-field system, using as tools 1) entropic and 2) statistical complexity measures. For 1) we mean here Renyi and Tsallis measures and for 2) the Jensen associated complexities. Our goal is to attain some clarity regarding features that could not be successfully tackled in previous similar work that employs Boltzmann–Gibbs–Shannon and Tsallis measures. The new tools allow for a determination of statistical complexity maxima, no accessible in previous efforts. Other kind of results acquire rotund robustness in being encountered in three distinct statistical scenarios.

Keywords: Renyi Entropy; Tsallis entropy; q-statistics; Complexity; Semiquantum dynamics; Bandt–Pompe’s probabilities extraction (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:535:y:2019:i:c:s037843711931372x

DOI: 10.1016/j.physa.2019.122387

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