71 citations · 246 across the 18 of their papers we have counts for
Showing 2001Show all
2 papers · 1 filter
cond-mat.stat-mech2001★ 52 cited
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…
cond-mat.stat-mech2001★ 28 cited
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…