Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Arimitsu, Toshihico"'
The PDFs for energy dissipation rates created in a high resolution from $4096^3$ DNS for fully developed turbulence are analyzed in a high precision with the PDF derived within the formula of multifractal probability density function theory (MPDFT).
Externí odkaz:
http://arxiv.org/abs/1111.4383
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 theoretical formulae for PDFs within multifractal PDF theory which is co
Externí odkaz:
http://arxiv.org/abs/1111.4229
Autor:
Jizba, Petr, Arimitsu, Toshihico
Publikováno v:
Physica A365:76-84,2006
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 the q-deformed version of Khinchin axioms to obtain the entropy which a
Externí odkaz:
http://arxiv.org/abs/cond-mat/0510092
Autor:
Jizba, Petr, Arimitsu, Toshihico
Publikováno v:
Physica A340 (2004) 110
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 divergence known from communication theory.
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Externí odkaz:
http://arxiv.org/abs/cond-mat/0312034
Autor:
Jizba, Petr, Arimitsu, Toshihico
Publikováno v:
Phys.Rev. E69 (2004) 026128
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 has zero measure (Bhattacharyya measure). In addition, we show the ins
Externí odkaz:
http://arxiv.org/abs/cond-mat/0307698
Autor:
Arimitsu, Toshihico, Arimitsu, Naoko
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 quantities in turbulence. It is shown that the formula can explain precise
Externí odkaz:
http://arxiv.org/abs/cond-mat/0306042
Autor:
Arimitsu, Toshihico, Arimitsu, Naoko
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 accelerations and those obtained in the DNS by Gotoh et al. are analyz
Externí odkaz:
http://arxiv.org/abs/cond-mat/0301516
Autor:
Jizba, Petr, Arimitsu, Toshihico
Publikováno v:
Annals Phys. 312 (2004) 17-57
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 framework - Renyi's information entropy. We address the renormalization iss
Externí odkaz:
http://arxiv.org/abs/cond-mat/0207707
Autor:
Arimitsu, Toshihico, Arimitsu, Naoko
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.e., the Tsallis or the R\'{e}nyi entropy. It is shown that the derived
Externí odkaz:
http://arxiv.org/abs/cond-mat/0203240
Autor:
Arimitsu, Toshihico, Arimitsu, Naoko
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 underlying statistics is the one based on the generalized measures of entr
Externí odkaz:
http://arxiv.org/abs/cond-mat/0109007