Twenty Years of Kaniadakis Entropy

Entropy is publishing a Special Issue in honor of the twentieth anniversary of Kaniadakis entropy’s introduction. This then-new entropy is one of the most viable candidates for explaining the experimentally observed power-law-tailed statistical distributions in various physical, natural, and artific...

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Médium:	Online
Jazyk:	angličtina
Vydáno:	MDPI - Multidisciplinary Digital Publishing Institute 2025
Témata:	orbital angular momentum Langmuir waves ion-acoustic waves κ-deformed Kaniadakis distribution function Kaniadakis entropy kappa statistics Tsallis distribution KMS relation DNA cucurbitaceae non-additive statistics Kaniadakis exponential modified lognormal distribution earthquake recurrence times Weibull distribution power-law tail precipitation flow in random media tensile strength Kaniadakis κ-statistics neutron cross-section Doppler broadening function Faddeeva function entropic kinetic energy Lotka–Volterra replicator equation relativistic Toda lattice Kaniadakis logarithm Tsallis deformation κ-deformed Lagrangian relativistic theory gravity cosmology big bang nucleosynthesis κ-deformed functions constitutive relations Gompertz rule Lotka–Volterra equations contact density dynamics nuclear reactor physics κ-Gaussian distribution optimal transport seismic imaging cycle skipping non-linear optimization Wasserstein metric inverse problems wave propagation information geometry compositional data affine displacement affine statistical bundle barycenter Kaniadakis divergence income and wealth distribution parametric modeling κ-generalized model generalized entropy H–theorem entropy production nonlinear Fokker–Planck equation κ-entropy pseudo-additivity power-law distributions relativistic statistical mechanics power-law tailed distributions κdistribution κ-exponential κ-logarithm κ-mathematics κ-deformation temperature of a moving body relativistic temperature relativistic thermodynamics n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
On-line přístup:	ONIX_20250812T110751_9783725836499_115
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Shrnutí:	Entropy is publishing a Special Issue in honor of the twentieth anniversary of Kaniadakis entropy’s introduction. This then-new entropy is one of the most viable candidates for explaining the experimentally observed power-law-tailed statistical distributions in various physical, natural, and artificial complex systems. In this reprint, readers can find information about the recent applications of Kaniadakis entropy in mechanical statistics, high-energy physics, cosmology, information geometry, biology, and economic sciences. We hope that the papers gathered in this Special Issue may inspire the reader and encourage them to continue the development of this expanding field of statistical physics.

Twenty Years of Kaniadakis Entropy

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