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Entropy 2015, 17(1), 384-400;

Tsallis Distribution Decorated with Log-Periodic Oscillation

Department of Fundamental Research, National Centre for Nuclear Research, Hoza 69,00-681 Warsaw, Poland
Institute of Physics, Jan Kochanowski University, Swietokrzyska 15, 25-406 Kielce, Poland
Author to whom correspondence should be addressed.
Received: 16 December 2014 / Accepted: 8 January 2015 / Published: 14 January 2015
(This article belongs to the Special Issue Entropic Aspects in Statistical Physics of Complex Systems)
Full-Text   |   PDF [213 KB, uploaded 24 February 2015]


In many situations, in all branches of physics, one encounters the power-like behavior of some variables, which is best described by a Tsallis distribution characterized by a nonextensivity parameter q and scale parameter T. However, there exist experimental results that can be described only by a Tsallis distributions, which are additionally decorated by some log-periodic oscillating factor. We argue that such a factor can originate from allowing for a complex nonextensivity parameter q. The possible information conveyed by such an approach (like the occurrence of complex heat capacity, the notion of complex probability or complex multiplicative noise) will also be discussed. View Full-Text
Keywords: scale invariance; log-periodic oscillation; complex nonextensivity parameter; complex multiplicative noise scale invariance; log-periodic oscillation; complex nonextensivity parameter; complex multiplicative noise
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Wilk, G.; Włodarczyk, Z. Tsallis Distribution Decorated with Log-Periodic Oscillation. Entropy 2015, 17, 384-400.

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