English

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

Statistical Mechanics 2018-12-27 v1

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

Cite

@article{arxiv.1812.10201,
  title  = {Deformed Tsallis-statistics analysis of a complex nonlinear matter-field system},
  author = {A. M. Kowalski and A. Plastino},
  journal= {arXiv preprint arXiv:1812.10201},
  year   = {2018}
}

Comments

PHYSICA A accepted 2018. 15 pages, 4 figures

R2 v1 2026-06-23T06:56:01.995Z