Double mode condensates of a flowing plasma as possible relaxed states

Stationary energy (SE) states are found for a flowing two-fluid plasma. These are of interest because quiescent relaxed plasma equilibria, if they exist, should be a subset of the SE states. The platform for the analysis is a two-fluid flowing plasma, which is more realistic than the single-fluid model used in most treatments of relaxed plasmas. The two-fluid model is characterized by two helicities, one for each species. Including flow allows for the possibility that flow may be an important ingredient in relaxed states. The analysis expands the flow and field vectors in a complete basis set of divergence-free vectors. This reduces the problem to algebra. It leads at once to the prediction of SE states that are a two-point spectrum of the basis set, i.e., double-mode condensates. The properties of these SE states are shown to depend on their location in helicity space, a two-dimensional parameter space of the ion and electron helicities. The migration of a SE state as a result of resistive and viscous dissipation is also shown