Tsallis Distribution Decorated with Log-Periodic Oscillation

Grzegorz Wilk, Zbigniew Włodarczyk
2015 Entropy  
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
more » ... 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.
doi:10.3390/e17010384 fatcat:iu7mtf7ayrfjphnkgz526ije7a