Weak Chaos from Tsallis Entropy
Mathematical Physics
2012-12-11 v2 Statistical Mechanics
math.MP
Chaotic Dynamics
Abstract
We present a geometric, model-independent, argument that aims to explain why the Tsallis entropy describes systems exhibiting "weak chaos", namely systems whose underlying dynamics has vanishing largest Lyapunov exponent. Our argument relies on properties of a deformation map of the reals induced by the Tsallis entropy, and its conclusion agrees with all currently known results.
Keywords
Cite
@article{arxiv.1104.4869,
title = {Weak Chaos from Tsallis Entropy},
author = {Nikos Kalogeropoulos},
journal= {arXiv preprint arXiv:1104.4869},
year = {2012}
}
Comments
19 pages, Standard LaTeX2e, v2: addition of the last paragraph in Section 4. Three additional refs. To be published in QScience Connect