29 citations · 44 across the 4 of their papers we have counts for
7 papers
Generalized statistics: yet another generalization
Petr Jizba, Toshihico Arimitsu
We provide a unifying axiomatics for Renyi's entropy and non-extensive entropy of Tsallis. It is shown that the resulting entropy coincides with Csiszar's measure of directed diver…
Multifractal Analysis of Various Probability Density Functions in Turbulence
Toshihico Arimitsu, Naoko Arimitsu
The probability density functions measured by Lewis and Swinney for turbulent Couette-Taylor flow, observed by Bodenschatz and co-workers in the Lagrangian measurement of particle…
Analysis of Shear-Thickening in Physical Gel. A Stochastic Theory for Polymer Networks
T. Indei, T. Arimitsu
A formula of steady shear viscosity is derived by introducing a model to describe the dynamics of physically cross-linked network (physical gel), and successfully analyzes the shea…
The world according to Renyi: Thermodynamics of multifractal systems
Petr Jizba, Toshihico Arimitsu
We discuss basic statistical properties of systems with multifractal structure. This is possible by extending the notion of the usual Gibbs--Shannon entropy into more general frame…
Analysis of accelerations in turbulence based on generalizaed statistics
Toshihico Arimitsu, Naoko Arimitsu
An analytical expression of probability density function (PDF) of accelerations in turbulence is derived with the help of the multifractal analysis based on generalized entropy, i.…
Thermo field hydrodynamic and kinetic equations of dense quantum nuclear systems
M. V. Tokarchuk, T. Arimitsu, A. E. Kobryn
Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented. A formulation of nonequilibrium thermo field dynamics has been performed using the n…