Tsallis Distribution Decorated With Log-Periodic Oscillation

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.

17 pages, 1 figure. The content of this article was presented by Z. Wlodarczyk at the SigmaPhi2014 conference at Rhodes, Greece, 7-11 July 2014. To be published in Entropy (2015)

References in corpus (10)

• Thermostatistics of overdamped motion of interacting particles
• Systematic analysis of pT -distributions in p + p collisions
• The multiplicity dependence of inclusive $p_t$ spectra from p-p collisions at $\sqrt{s}$ = 200 GeV
• Microcanonical Jet-fragmentation in proton-proton collisions at LHC Energy
• Critical Behavior of an Ising System on the Sierpinski Carpet: A Short-Time Dynamics Study
• Macroscopic non-equilibrium thermodynamics in dynamic calorimetry
• System size dependence of the log-periodic oscillations of transverse momentum spectra
• Possible Implication of a Single Nonextensive $p_T$ Distribution for Hadron Production in High-Energy $pp$ Collisions
• On the Limiting Cases of Nonextensive Thermostatistics
• Simple derivation of the frequency dependent complex heat capacity

Cited by in corpus (6)

• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Systematic Analysis of the Non-extensive Statistical Approach in High Energy Particle Collisions - Experiment vs. Theory
• On the Use of the Tsallis Distribution at LHC Energies
• Approach of complexity in nature: Entropic nonuniqueness
• Dependence of related parameters on centrality and mass in a new treatment for transverse momentum spectra in high energy collisions
• Discrete hierarchy of sizes and performances in the exchange-traded fund universe