Research

This work mathematically characterizes the existence and properties of Magnetohydrostatic (MHS) equilibrium states via the vanishing resistivity limit of resistive magnetic relaxation equations subject to stochastic forcing. The "magnetic relaxation process" proposed by H. K. Moffatt is a physical mechanism to reach an equilibrium state by minimizing energy while preserving the topological constraints of the magnetic field; this study provides a rigorous proof that MHS equilibrium states with complex magnetic field structures can be derived through this process. The findings of this paper can be applied to the analysis of various physical scenarios modeled by MHS equilibrium, such as the study of solar flares and plasma control theory for nuclear fusion.