Variational coordinate transformation in plasma physics

Ryan White, Emila R. Solano, R. D. Hazeltine
2009 Physics of Plasmas  
It is well-known from scaling arguments that action-based field theories do not possess localized solutions in spaces of more than one dimension. The same scaling argument, modified to account for external forces, is applied to magnetic plasma confinement in an axisymmetric torus. It yields an integral solvability condition of some interest.
doi:10.1063/1.3227812 fatcat:nejda3jctrdxxbq2iybhyrz4ki