Tsallis Distribution Decorated with Log-Periodic Oscillation

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 T...

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Bibliographic Details
Published inEntropy (Basel, Switzerland) Vol. 17; no. 1; pp. 384 - 400
Main Authors Wilk, Grzegorz, Wlodarczyk, Zbigniew
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2015
Subjects
complex multiplicative noise
complex nonextensivity parameter
Conveying
Decoration
Encounters
Entropy
Heat capacity
log-periodic oscillation
Noise
Oscillating
Oscillations
scale invariance
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Summary: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.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e17010384