71 citations · 246 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
Quantum Stochastic Differential Equations in View of Non-Equlibrium Thermo Field Dynamics
T. Arimitsu
Most of the mathematical approaches for quantum Langevin equation are based on the non-commutativity of the random force operators. Non-commutative random force operators are intro…
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…