Deformed Tsallis-statistics analysis of a complex nonlinear matter–field system

A.M. Kowalski and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2019, vol. 519, issue C, 267-274

Abstract: We study, using information quantifiers, the dynamics generated by a special Hamiltonian that gives a detailed account of the interaction between a classical and a quantum system. The associated, very rich dynamics displays periodicity, quasi-periodicity, not-boundedness, and chaotic regimes. Chaoticity, together with complex behavior, emerge in the proximity of an unstable entirely quantum instance. Our goal is to compare the statistical description provided by Tsallis quantifiers vis a vis that obtained with Shannon’s entropy and Jensen’s complexity.

Keywords: 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:519:y:2019:i:c:p:267-274

DOI: 10.1016/j.physa.2018.12.035

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