Three-dimensional Structures of Magnetostatic Atmospheres. VI. Examples of Coupled Electric Current Systems

Attention is given to exact solutions which describe the static equilibrium of atmospheres stratified by a uniform gravity, in the presence of magnetic fields lying in parallel vertical planes. These equilibrium states consist of different, highly varied structures in these planes stacked together in global equilibrium. A subset of the solutions presented describe a magnetostatic system closed by a simple equation of state, namely, an atmosphere which conducts heat perfectly along the magnetic field but no heat across it. It is found that periodic structures in adjacent magnetic flux planes can march out of step as a result of an irrational ratio between their periods, leading to extreme electric current densities despite the boundedness of the magnetic intensity and plasma pressure.