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Title: Nonlinear shearing modes approach to the diocotron instability of a planar electron strip

The nonlinear evolution of the diocotron instability of a planar electron strip is investigated analytically by means of the nonlinear shearing mode for the solution of the initial and boundary value problems. The method is based on the sheared spatial coordinates which account for the motion of electron flow in the electrostatic field of the unstable diocotron modes in addition to the unperturbed sheared motion of the electron flow on the transformed shear coordinates. The time evolutions are studied by the solution of the initial and boundary value problems. The obtained solutions for the perturbed electrostatic potential include two nonlinear effects—the effect of the distortion of the boundaries of the planar electron strip and the effect of the coupling of the sheared nonmodal diocotron modes. It was proved by a two-dimensional particle-in-cell simulation that the developed theory is valid as long as the distortion of the boundaries of the basic shear flow does not change the frequency and growth rate of the linear diocotron instability in the transformed coordinates.
Authors:
;  [1] ;  [2] ;  [1] ;  [3]
  1. Plasma Research Center, Pusan National University, Busan 609-735 (Korea, Republic of)
  2. Department of Electrical Engineering, Pusan National University, Busan 609-735 (Korea, Republic of)
  3. (Korea, Republic of)
Publication Date:
OSTI Identifier:
22490142
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOUNDARY-VALUE PROBLEMS; ELECTRON LOSS; ELECTRONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PLASMA INSTABILITY; PLASMA SIMULATION; POTENTIALS; SHEAR; TWO-DIMENSIONAL CALCULATIONS