71 citations · 246 across the 18 of their papers we have counts for
11 papers · 1 filter
Towards a separation of the elements in turbulence via the analyses within MPDFT
Toshihico Arimitsu, Naoko Arimitsu, Kohei Takechi +2
The PDFs for energy dissipation rates created in a high resolution from DNS for fully developed turbulence are analyzed in a high precision with the PDF derived within the…
Constitutive equations for granular flow with uniform mean shear and spin fields
K. Takechi, K. Yoshida, T. Arimitsu
Numerical simulations of two-dimensional granular flows under uniform shear and external body torque were performed in order to extract the constitutive equations for the system. T…
Towards information theory for q-nonextensive statistics without q-deformed distributions
Petr Jizba, Toshihico Arimitsu
In this paper we extend our recent results [Physica A340 (2004)110] on q-nonextensive statistics with non-Tsallis entropies. In particular, we combine an axiomatics of Renyi with t…
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…
On observability of Renyi's entropy
Petr Jizba, Toshihico Arimitsu
Despite recent claims we argue that Renyi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Renyi entropies…
Multifractal Analysis of Various PDF in Turbulence based on Generalized Statistics: A Way to Tangles in Superfluid He
Toshihico Arimitsu, Naoko Arimitsu
By means of the multifractal analysis (MFA), the expressions of the probability density functions (PDFs) are unified in a compact analytical formula which is valid for various quan…
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.…
Analysis of Velocity Derivatives in Turbulence based on Generalized Statistics
N. Arimitsu, T. Arimitsu
A theoretical formula for the probability density function (PDF) of velocity derivatives in a fully developed turbulent flow is derived with the multifractal aspect based on the ge…
PDF of Velocity Fluctuation in Turbulence by a Statistics based on Generalized Entropy
Toshihico Arimitsu, Naoko Arimitsu
An analytical formula for the probability density function (PDF) of the velocity fluctuation in fully-developed turbulence is derived, non-perturbatively, by assuming that its unde…
The world according to Renyi: thermodynamics of fractal systems
Petr Jizba, Toshihico Arimitsu
We discuss a basic thermodynamic properties of systems with multifractal structure. This is possible by extending the notion of Gibbs-Shannon's entropy into more general framework…