The expansion dynamics of a finite-size plasma is examined from an analytical perspective. Results regarding the charge distribution as well as the electrostatic potential are presented. The acceleration of the ions and the associated cooling of the electrons that takes place during the plasma expansion is described. An extensive analysis of the transition between the semi-infinite and the finite-size plasma behaviour is carried out. Finally, a test of the analytical results, performed through numerical simulations, is presented.
有限サイズのプラズマの膨張ダイナミクスを解析的な観点から考察する。電荷分布および静電ポテンシャルに関する結果を示す。プラズマ膨張中に生じるイオンの加速と、それに伴う電子の冷却について記述する。半無限プラズマと有限サイズプラズマの挙動の間の遷移について、広範な解析を行う。最後に、数値シミュレーションによる解析結果の検証を示す。