Tsallis entropy on fractal sets
Alireza Khalili Golmankhaneh
Abstract
In this article, we review fractal calculus ((Formula presented.) -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy. We define q-fractal calculus to obtain q-Gaussian or generalized stable and Lévy distribution on fractal sets. The conditions for the nonlinear coupling of the statistical states are given. The relationship of fractal dimension which is defined in (Formula presented.) -calculus with q-parameter of the Tsallis entropy of the Hadron system is proposed.
Topics & Concepts
Tsallis entropyFractalMathematicsFractal dimensionFractal derivativeFractal dimension on networksStatistical physicsEntropy (arrow of time)Calculus (dental)Multifractal systemGaussianPure mathematicsTsallis statisticsMathematical analysisFractal analysisPhysicsQuantum mechanicsMedicineDentistryStatistical Mechanics and EntropyComplex Systems and Time Series AnalysisFractional Differential Equations Solutions