Thermodynamic origin of universal fluctuations and two-power laws

Jan Naudts; Marek Czachor

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arXiv · cond-mat/0108354

Thermodynamic origin of universal fluctuations and two-power laws

Jan Naudts·Marek Czachor

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Abstract

We discuss universality of response functions in systems with excited degrees of freedom. We propose a unification of two existing phenomenologies, two-power law decay and deviation from power law due to non-extensivity. A universal curve is derived by maximizing entropy with a non-linear constraint. The same formalism can explain the universal fluctuation curves which have been discovered recently by Bramwell, Holdsworth, and Pinton.

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Jan Naudts, Marek Czachor. 2001-08-22. Thermodynamic origin of universal fluctuations and two-power laws. https://arxiv.org/abs/cond-mat/0108354

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