Structurally-Unstable Electrostatic Potentials in Plasmas
Structurally-Unstable Electrostatic Potentials in Plasmas
复制标题
等离子体中结构不稳定的静电势
DOI：
10.1143/ptp/84.2.203
复制
发表时间：
1990
影响因子：
--
通讯作者：
H. Yamada
中科院分区：
文献类型：
--
作者：
Z. Yoshida;H. Yamada
本文用玻姆方程研究了等离子体中的一维静电势。本文从偏微分方程的特征线理论出发，讨论了方程的推导过程。通过指定与真实的特征相关的Cauchy数据，原始的偏微分方程系统简化为与Bohm方程相关的特征值问题。与离子声孤子相关的波动解通过具有涨落的结构不稳定性从单调渐近玻姆鞘解分叉。
One dimensional electrostatic potentials in plasmas have been studied using the Bohm equation. The derivation of the equation has been discussed from a viewpoint of the characteristics theory for partial differential equations. With specifying Cauchy data related to real characteristics, the original system of partial differential equations reduces to an eigenvalue problem associated with the Bohm equation. Wavy solutions related to the ion acoustic solitons bifurcate from the monotone asymptotic Bohm sheath solutions through structural instabilities with fluctuations.