On the Kaniadakis distributions applied in statistical physics and natural sciences

Abstract

Constitutive relations are fundamental and essential to characterize physical systems. By utilizing the $\kappa$-deformed functions, some constitutive relations are generalized. We here show some applications of the Kaniadakis distributions based on the inverse hyperbolic sine function to some topics belonging to the realm of statistical physics and natural science.

arXiv comment14 pages, 2 figures, submitted to Entropy

References in corpus (13)

• Statistical mechanics in the context of special relativity
• Statistical mechanics in the context of special relativity II
• Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions
• A new one parameter deformation of the exponential function
• The k-statistics approach to epidemiology
• Escort Evolutionary Game Theory
• $\kappa$-exponential models from the geometrical viewpoint
• A thermostat algorithm generating target ensembles
• The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
• k-Deformed Fourier Transform
• An eikonal equation approach to thermodynamics and the gradient flows in information geometry
• The Fundamental Theorem of Natural Selection
• Law of large numbers unifying Maxwell-Boltzmann, Bose-Einstein and Zipf-Mandelbort distributions, and related fluctuations

Cited by in corpus (2)

• Relativistic Roots of $\kappa$-Entropy
• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects