Tsallis Distribution Decorated With Log-Periodic Oscillation

Grzegorz Wilk; Zbigniew Wlodarczyk

doi:10.3390/e17010384

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arXiv · 1501.02608

Tsallis Distribution Decorated With Log-Periodic Oscillation

Grzegorz Wilk·Zbigniew Wlodarczyk

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Abstract

In many situations, in all branches of physics, one encounters power-like behavior of some variables which are best described by a Tsallis distribution characterized by a nonextensivity parameter $q$ and scale parameter $T$. However, there exist experimental results which 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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Grzegorz Wilk, Zbigniew Wlodarczyk. 2015-01-12. Tsallis Distribution Decorated With Log-Periodic Oscillation. https://doi.org/10.3390/e17010384

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