Purely helical absolute equilibria and chirality of (magneto)fluid turbulence

@article{Zhu2014PurelyHA,
  title={Purely helical absolute equilibria and chirality of (magneto)fluid turbulence},
  author={Jian-Zhou Zhu and Wei-hong Yang and Guang-Yu Zhu},
  journal={Journal of Fluid Mechanics},
  year={2014},
  volume={739},
  pages={479 - 501}
}
Abstract Purely helical absolute equilibria of incompressible neutral fluids and plasmas (electron, single-fluid and two-fluid magnetohydrodynamics) are systematically studied with the help of helical (wave) representation and truncation, for genericities and specificities about helicity. A unique chirality selection and amplification mechanism and relevant insights, such as the one-chiral-sector-dominated states, among others, about (magneto)fluid turbulence follow. 
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References

SHOWING 1-10 OF 95 REFERENCES
Helical and Nonhelical Turbulent Dynamos
Direct numerical simulations of three-dimensional magnetohydrodynamic turbulence with kinetic and magnetic Reynolds numbers up to 100 are presented. Spatially intermittent magnetic fields are
Spontaneous chiral symmetry breaking of Hall magnetohydrodynamic turbulence.
TLDR
It is shown that the Hall effect induces a spontaneous chiral symmetry breaking of the turbulent dynamics of solar wind turbulence, and the normalized magnetic polarization is introduced to separate the right- and left-handed fluctuations.
Dissipation in helical turbulence
In helical turbulence a linear cascade of helicity accompanying the energy cascade has been suggested. Since energy and helicity have different dimensionality we suggest the existence of a
A weak turbulence theory for incompressible magnetohydrodynamics
We derive a weak turbulence formalism for incompressible magnetohydrodynamics. Three-wave interactions lead to a system of kinetic equations for the spectral densities of energy and helicity. The
Turbulent Dynamos and Magnetic Helicity
It is shown that the turbulent dynamo alpha-effect converts magnetic helicity from the turbulent field to the mean field when the turbulence is electromagnetic while the magnetic helicity of the
Equilibrium analysis of a flowing two-fluid plasma
An improved formalism for a flowing two-fluid equilibrium with constant density is developed. This extends the usual single-fluid model. In this generalization, the magnetic field is replaced by two
Strong MHD helical turbulence and the nonlinear dynamo effect
To understand the turbulent generation of large-scale magnetic fields and to advance beyond purely kinematic approaches to the dynamo effect like that introduced by Steenbeck, Krause & Radler (1966)’
Two-dimensional turbulence
The theory of turbulence in two dimensions is reviewed and unified and a number of hydrodynamic and plasma applications are surveyed. The topics treated include the basic dynamical equations,
Motion of magnetic flux lines in magnetohydrodynamics
A gauge-free description of magnetohydrodynamic flows of an ideal incompressible fluid, which takes into account the freezing-in of the magnetic field and the presence of cross invariants containing
Turbulent Dynamos and Magnetic Helicity
It is shown that the turbulent dynamo -e ect converts magnetic helicity from the turbulent eld to the mean eld when the turbulence is electromagnetic while the magnetic helicity of the meaneld is
...
1
2
3
4
5
...