Universität zu Köln

Banerjee, Supratik and Galtier, Sebastien ORCID: 0000-0001-8685-9497 (2016). Chiral exact relations for helicities in Hall magnetohydrodynamic turbulence. Phys. Rev. E, 93 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

Besides total energy, three-dimensional incompressible Hall magnetohydrodynamics (MHD) possesses two inviscid invariants, which are the magnetic helicity and the generalized helicity. Exact relations are derived for homogeneous (nonisotropic) stationary Hall MHD turbulence (and also for its inertialess electron MHD limit) with nonzero helicities and in the asymptotic limit of large Reynolds numbers. The universal laws are written only in terms of mixed second-order structure functions, i.e., the scalar product of two different increments. It provides, therefore, a direct measurement of the dissipation rates for the corresponding invariant flux. This study shows that the generalized helicity cascade is strongly linked to the left polarized fluctuations, while the magnetic helicity cascade is linked to the right polarized fluctuations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Banerjee, Supratik UNSPECIFIED UNSPECIFIED UNSPECIFIED Galtier, Sebastien UNSPECIFIED orcid.org/0000-0001-8685-9497 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-281136
DOI:	10.1103/PhysRevE.93.033120
Journal or Publication Title:	Phys. Rev. E
Volume:	93
Number:	3
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SOLAR-WIND; MHD TURBULENCE; MAGNETIC RECONNECTION; WAVE TURBULENCE; CASCADE; ENERGY; SCALES Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28113