Boosting the Magnetic Field of a Torus-shaped Conductive Fluid via Poloidal Flow

Abstract

Researchers have struggled to understand the mechanism underlying the formation of celestial magnetic fields. Currently, the generation of axisymmetric and poloidal magnetic fields can be solved by complex convection arguments. There are also claims of simple convection, but these claims are not purely simple axisymmetric convection claims. This paper addresses a truly simple axisymmetric poloidal convection and magnetic field. To calculate the electrical components, this paper introduces a theory that separates the vector potential into inductance and current in a relational formula. The reason is to consider the mutual influence between distant circuits in terms of mutual inductance. That is, consider that each circuit is electrically affected by all other circuits. A solution that considers mutual influence can be obtained by using multiples of these equations as simultaneous equations and numerically calculating them as eigenvalue problems. The change in current is subsequently calculated from the change in inductance. Using this method, the generation of a simple axisymmetric poloidal magnetic field from axisymmetric poloidal convection is demonstrated. These concepts are novel, and we believe that these findings will contribute to further elucidating the formation mechanism of celestial magnetic fields. This work also disproves Cowling's theorem.