Tsallis distribution with complex nonextensivity parameter q

Abstract

We discuss a Tsallis distribution with complex nonextensivity parameter $q$. In this case the usual distribution is decorated with a log-periodic oscillating factor (apparently, such oscillations can bee seen in recently measured transverse momentum distributions in collisions at very high energies). Complex $q$ also means complex heat capacity which shall also be briefly discussed.

9 pages, 1 figure, version accepted by Physica A

References in corpus (8)

• Consequences of temperature fluctuations in observables measured in high energy collisions
• Thermodynamic Derivation of the Tsallis and Rényi Entropy Formulas and the Temperature of Quark-Gluon Plasma
• Critical Behavior of an Ising System on the Sierpinski Carpet: A Short-Time Dynamics Study
• Macroscopic non-equilibrium thermodynamics in dynamic calorimetry
• Nonextensive information entropy for stochastic networks
• On the Limiting Cases of Nonextensive Thermostatistics
• Simple derivation of the frequency dependent complex heat capacity
• Log-periodic oscillations of transverse momentum distributions

Cited by in corpus (28)

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• Probing the cosmological viability of non-gaussian statistics
• Thermodynamics with fractal structure, Tsallis statistics and hadrons
• The Tsallis Distribution at Large Transverse Momenta
• Tsallis Distribution Decorated With Log-Periodic Oscillation
• Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV
• Event multiplicity, transverse momentum and energy dependence of charged particle production, and system thermodynamics in $pp$ collisions at the Large Hadron Collider
• Some intriguing aspects of multiparticle production processes
• Transverse momentum spectra of hadrons in high energy pp and heavy ion collisions
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• 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
• Quasi-power laws in multiparticle production processes
• Oscillations in the Tsallis income distribution
• Approach of complexity in nature: Entropic nonuniqueness
• Non-Gaussian thermostatistical considerations upon the Saha equation
• Ricci curvature, isoperimetry and a non-additive entropy
• Large Transverse Momenta and Tsallis Thermodynamics
• Entropies from coarse-graining: convex polytopes vs. ellipsoids
• Temperature oscillations and sound waves in hadronic matter
• Log-periodic oscillations of transverse momentum distributions
• The theoretical description of the transverse momentum spectra: a unified model
• Moduli of curve families and (quasi-)conformality of power-law entropies
• Oscillations in multiparticle production processes
• Analyzing the Correlation Between Thermal and Kinematic Parameters in Various Multiplicity Classes within 7 and 13 TeV pp Collisions
• Tsallis entropy for cross-shareholding network configurations
• Sound waves in hadronic matter
• The magnetocaloric effect from the point of view of Tsallis non-extensive thermostatistics