Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids
arXiv:2303.04290 · doi:10.1016/j.physd.2023.133835
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.
arXiv comment19 pages
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