期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 51, 期 20, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aabbb5
关键词
magnetohydrodynamics; turbulence; astrophysics
资金
- PNST (Programme National Soleil-Terre) INSU-CNRS
- LIA-MAGNETO-CNRS/CONICET
Incompressible Hall magnetohydrodynamics (MHD) may be the subject of energy dissipation anomaly D-a, which stems from the lack of smoothness of the velocity and magnetic fields. I derive the exact expression of D-a, which appears to be closely connected with the well-known 4/3 exact law of Hall MHD turbulence theory. This remarkable similitude suggests a deeper mathematical property of the fluid equations. In the MHD limit, the expression of D-a differs from the one derived by Gao et al (2013 Acta Math. Sci. 33 865-71) which presents miscalculations. The energy dissipation anomaly can be used to better estimate the local heating in space plasmas where in situ measurements are accessible.
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