Electrostatic trapping and the linear and nonlinear evolution of dissipative trapped electron instabilities

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Abstract
Three problems related to the effect of electrostatic trapping on dissipative trapped electron instabilities are investigated: (a) the linear theory of the dissipative trapped electron mode for the case in which there is both a magnetic well and an electric well (or anti-well); (b) the nonlinear stability of a drift wave (in a straight constant magnetic field) whose amplitude is large enough to trap electrons; and (c) the nonlinear saturation of the dissipative trapped electron mode in a tokamak-type magnetic well via the mechanism of electric trapping and detrapping by wave electrostatic potential perturbations along B.