Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence

被引:45
作者
Andres, N. [1 ]
Galtier, S. [1 ,2 ]
Sahraoui, F. [1 ]
机构
[1] PSL Res Univ, Sorbonne Univ, Univ Paris Saclay,LPP,CNRS,Ecole Polytech, UPMC,Univ Paris 06,Univ Paris Sud,Observ Paris, F-91128 Palaiseau, France
[2] Univ Paris Sud, Dept Phys, Orsay, France
关键词
EXTENDED SELF-SIMILARITY; CONSEQUENCES;
D O I
10.1103/PhysRevE.97.013204
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We derive an exact law for three-dimensional (3D) homogeneous compressible isothermal Hall magnetohydrodynamic turbulence, without the assumption of isotropy. The Hall current is shown to introduce new flux and source terms that act at the small scales (comparable or smaller than the ion skin depth) to significantly impact the turbulence dynamics. The law provides an accurate means to estimate the energy cascade rate over a broad range of scales covering the magnetohydrodynamic inertial range and the sub-ion dispersive range in 3D numerical simulations and in in situ spacecraft observations of compressible turbulence. This work is particularly relevant to astrophysical flows in which small-scale density fluctuations cannot be ignored such as the solar wind, planetary magnetospheres, and the interstellar medium.
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页数:6
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