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Weak Chaos from Tsallis Entropy

Published 26 Apr 2011 in math-ph, cond-mat.stat-mech, math.MP, and nlin.CD | (1104.4869v2)

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.

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