von Karman-Howarth Equation for Hall Magnetohydrodynamics: Hybrid Simulations
File(s)
Accepted version
Author(s)
Hellinger, Petr
Verdini, Andrea
Landi, Simone
Franci, Luca
Matteini, Lorenzo
Type
Journal Article
Abstract
A dynamical vectorial equation for homogeneous incompressible Hall-magnetohydrodynamic (MHD) turbulence together with the exact scaling law for third-order correlation tensors, analogous to that for the incompressible MHD, is rederived and applied to the results of two-dimensional hybrid simulations of plasma turbulence. At large (MHD) scales the simulations exhibit a clear inertial range where the MHD dynamic law is valid. In the sub-ion range the cascade continues via the Hall term, but the dynamic law derived in the framework of incompressible Hall-MHD equations is obtained only in a low plasma beta simulation. For a higher beta plasma the cascade rate decreases in the sub-ion range and the change becomes more pronounced as the plasma beta increases. This break in the cascade flux can be ascribed to nonthermal (kinetic) features or to others terms in the dynamical equation that are not included in the Hall-MHD incompressible approximation.
Date Issued
2018-04-20
Date Acceptance
2018-04-04
Citation
ASTROPHYSICAL JOURNAL LETTERS, 2018, 857 (2)
ISSN
2041-8205
Publisher
IOP PUBLISHING LTD
Journal / Book Title
ASTROPHYSICAL JOURNAL LETTERS
Volume
857
Issue
2
Copyright Statement
© 2018 The American Astronomical Society. All rights reserved. This is an author-created, un-copyedited version of an article accepted for publication in the Astrophysical Journal Letters. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at https://dx.doi.org/10.3847/2041-8213/aabc06
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000430632600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Astronomy & Astrophysics
methods: numerical
plasmas
solar wind
turbulence
DIRECT NUMERICAL-SIMULATION
SOLAR-WIND TURBULENCE
ENERGY CASCADE
Publication Status
Published
Article Number
ARTN L19
Date Publish Online
2018-04-20