Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids

Yanqing Wang; Otto Chkhetiani

doi:10.1016/j.physd.2023.133835

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arXiv · 2303.04290

Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids

Yanqing Wang·Otto Chkhetiani

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Abstract

In this paper, by exploiting the feature of the Hall term, we establish some local version four-thirds laws for the dissipation rates of energy and magnetic helicity in both electron and Hall magnetohydrodynamic equations in the sense of Duchon-Robert type. New 4/3 laws for the dissipation rates of magnetic helicity in these systems are first observed and four-thirds law involving the dissipation rates of energy for the Hall magnetohydrodynamic equations generalizes the work of Galtier.

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Yanqing Wang, Otto Chkhetiani. 2023-03-07. Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids. https://doi.org/10.1016/j.physd.2023.133835

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