Self-similar nonlinear dynamical solutions for one-component nonneutral plasma in a time-dependent linear focusing field

Qin, Hong; Davidson, Ronald C.
August 2011
Physics of Plasmas;Aug2011, Vol. 18 Issue 8, p084502
Academic Journal
In a linear trap confining a one-component nonneutral plasma, the external focusing force is a linear function of the configuration coordinates and/or the velocity coordinates. Linear traps include the classical Paul trap and the Penning trap, as well as the newly proposed rotating-radio-frequency traps and the Mobius accelerator. This paper describes a class of self-similar nonlinear solutions of nonneutral plasma in general time-dependent linear focusing devices, with self-consistent electrostatic field. This class of nonlinear solutions includes many known solutions as special cases.


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