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Weak Chaos from Tsallis Entropy

By Nikos Kalogeropoulos

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.Comment: 19 pages, Standard LaTeX2e, v2: addition of the last paragraph in Section 4. Three additional refs. To be published in QScience Connec

Topics: Mathematical Physics, Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Chaotic Dynamics
Year: 2012
DOI identifier: 10.5339/connect.2012.12
OAI identifier: oai:arXiv.org:1104.4869
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