A non-local spectral transfer model and new scaling law for scalar turbulence

THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL

The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

Scaling law of the plasma turbulence with non conservative fluxes

where kd is Kolmogorov dissipation wave number, α1 and α2 are some constants and 1 ≤ n ≤ 2 (see, e.g., [1] and references therein). In the case of plasma turbulence existence of various kinetic mechanisms of dissipation makes the situation much more complicated. For instance, observations of the solar wind turbulence [10, 11, 12] strongly suggest steep power law spectrum of the magnetic field f...

Unified Scaling Theory for Local and Non-local Transfers in Generalized Two-dimensional Turbulence

The enstrophy inertial range of a family of two-dimensional turbulent flows, so-called -turbulence, is investigated theoretically and numerically. Introducing the large-scale correction into Kraichnan–Leith– Batchelor theory, we derive a unified form of the enstrophy spectrum for the local and non-local transfers in the enstrophy inertial range of -turbulence. An asymptotic scaling behavior of ...

Model representation for local energy transfer theory of isotropic turbulence

An almost-Markovian model equation is proposed for Fourier modes of velocity field of isotropic turbulence whose statistical properties are identical to those governed by equations of Local Energy Transfer theory of turbulence [McComb et. al., J. Fluid Mech. 245, 279 (1992)] compatible with the Kolmogorov spectrum.

A non-local shell model of hydrodynamic and magnetohydrodynamic turbulence