Nonlinear stabilization and nonrandom behavior of macroinstabilities in plasmas. I. Theory

Nonlinear mass transport associated with the Hall motion of particles coherent with a wave field is studied for electrostatic instabilities, which are described by the magnetohydrodynamic equations. It is shown that the nonlinear transport causes a modification of the density distribution and/or the drift velocity, leading to stabilization of the unstable waves in both cases. It is also shown that fluid elements (particles) move in the Hall direction in a nonrandom manner under the action of a coherent wave electric field. Consequently, the density distribution is modified in an oscillatory way, thus giving rise to a modulation in amplitude.