Contribution of the Hall term in small-scale magnetohydrodynamic dynamos

A detailed study of small-scale Hall magnetohydrodynamic dynamos has been per-formed both analytically and numerically. Assuming the magnetic field and the current to be separate fields, the contribution of the Hall term has been decomposed into two parts and their individual contributions have been studied separately. Calculating the scale-separated transfer rates described in Dar et al. [Physica D 157, 207 (2001)], it is found that the small-scale current fields are the primary contributors in sustaining large-scale magnetic fields. Furthermore, the nature of the scale-to-scale fluxes are found to be globally intact with the ion inertial scale.

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A detailed study on small-scale Hall magnetohydrodynamic dynamos has been conducted, combining analytical and numerical methods. By assuming separate magnetic field and current fields, the contribution of the Hall term has been divided into two parts and studied individually. The calculated scale-separated transfer rates show that small-scale current fields play a primary role in sustaining large-scale magnetic fields. Moreover, the nature of scale-to-scale fluxes is found to be globally intact with the ion inertial scale.