Generalized relaxation theory and vortices in plasmas

The authors present a generalization of the relaxation theory based in the canonical momentum of each species fluid in a multicomponent plasma The generalized helicity, as a topological quantity, has a lifetime larger than the lifetime of the energy. The proposed variational principle suggests vortices structures. They study localized solutions, assuming the existence of a separatrix. Two-dimensional and three-dimensional solutions are studied for an electron-positron-proton plasma. Ideal magnetohydrodynamic (MHD) three-dimensional localized vortices are studied as well. Possible cosmological implications are discussed