Weak chaos from Tsallis entropy
Copyright policy )Weak chaos from Tsallis entropy
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.
- Cornell University United States
- Weill Cornell Medical College in Qatar Qatar
Statistical Mechanics (cond-mat.stat-mech), A, FOS: Physical sciences, Mathematical Physics (math-ph), Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, General Works, Mathematical Physics, Condensed Matter - Statistical Mechanics
Statistical Mechanics (cond-mat.stat-mech), A, FOS: Physical sciences, Mathematical Physics (math-ph), Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, General Works, Mathematical Physics, Condensed Matter - Statistical Mechanics
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