71 citations · 246 across the 18 of their papers we have counts for
18 papers
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…
Analyses of turbulence in a wind tunnel by a multifractal theory for probability density functions
Toshihico Arimitsu, Naoko Arimitsu, Hideaki Mouri
The probability density functions (PDFs) for energy dissipation rates, created from time-series data of grid turbulence in a wind tunnel, are analyzed in a high precision by the th…
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…