Universität zu Köln

Banerjee, Supratik and Galtier, Sebastien ORCID: 0000-0001-8685-9497 (2017). An alternative formulation for exact scaling relations in hydrodynamic and magnetohydrodynamic turbulence. J. Phys. A-Math. Theor., 50 (1). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

We propose an alternative formulation for the exact relations in three-dimensional homogeneous turbulence using two-point statistics. Our finding is illustrated with incompressible hydrodynamic, standard and Hall magnetohydrodynamic turbulence. In this formulation, the cascade rate of an inviscid invariant of turbulence can be expressed simply in terms of mixed second-order structure functions. Besides the usual variables like the velocity u, vorticity w, magnetic field b and the current j, the vectors u x w, u x b and j x b are also found to play a key role in the turbulent cascades. The current methodology offers a simple algebraic form which is specially interesting to study anisotropic space plasmas like the solar wind, with, a faster statistical convergence than the classical laws written in terms of third-order correlators.

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:38-242697
DOI:	10.1088/1751-8113/50/1/015501
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	50
Number:	1
Date:	2017
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SOLAR-WIND; MOMENTS; SCALES; FLOWS Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/24269