Steady Solutions to Neoclassical Transport Equations and the Absence of Bifurcated States

The question of whether two-valued solutions can exist for an ambipolar electric field in stellarators and rippled tokamaks is considered. Steady solutions to transport equations in the limit of infrequent collisions are obtained in the purely neoclassical transport theory (that is, without allowance for possible anomalous losses). It is shown that, given the particle and heat sources, these equations have only one steady continuous solution, i.e., the steady states are nonbifurcating