Application of Green's differential equation to the analysis of ion-matrix sheaths around wedge-shaped cathodes

Donolato C

首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >Application of Green's differential equation to the analysis of ion-matrix sheaths around wedge-shaped cathodes

【24h】

Application of Green's differential equation to the analysis of ion-matrix sheaths around wedge-shaped cathodes

机译：格林微分方程在楔形阴极周围离子矩阵鞘层分析中的应用

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

A relation between the gradient of the electric field and mean curvature of equipotential surfaces (Green's differential equation) is applied to a two-dimensional free-boundary problem arising in the study of ion sheaths around wedge-shaped cathodes. With the assumption that the equipotential lines are hyperbolae, this relation leads to a nonlinear ordinary differential equation for the potential along the bisector line of the wedge. An approximate solution is found, which yields, in particular, the sheath width along this line as a function of the wedge angle. The resulting values are in good agreement with published results obtained by numerically solving Poisson's equation.

机译：电场梯度与等势面平均曲率之间的关系（格林氏微分方程）适用于研究楔形阴极周围离子鞘的二维自由边界问题。假设等势线是双曲线，则该关系导致沿着楔的等分线的势的非线性常微分方程。找到一个近似的解决方案，该解决方案特别产生沿着该线的护套宽度，该宽度是楔角的函数。结果值与通过数值求解泊松方程获得的公开结果非常一致。

著录项

来源
《Journal of Physics, D. Applied Physics: A Europhysics Journal》 |2005年第3期|共6页
作者
Donolato C;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用物理学;
关键词

相似文献

外文文献
中文文献
专利

1. Application of Green's differential equation to the analysis of ion-matrix sheaths around wedge-shaped cathodes [J] . Donolato C Journal of Physics, D. Applied Physics: A Europhysics Journal . 2005,第3期

机译：格林微分方程在楔形阴极周围离子矩阵鞘层分析中的应用
2. Positive properties of Green's function for three-point boundary value problems of nonlinear fractional differential equations and its applications [J] . Xiaojie Xu, Daqing Jiang, Weimin Hu, Applicable Analysis . 2012,第1a2期

机译：非线性分数阶微分方程三点边值问题的格林函数正性质及其应用
3. The positive properties of Green's function for three point boundary value problems of nonlinear fractional differential equations and its applications [J] . Xiaojie Xu, Xiangli Fei Communications in Nonlinear Science and Numerical Simulation . 2012,第4期

机译：格林函数对非线性分数阶微分方程三点边值问题的正性及其应用
4. Sensitivity analysis for systems of differential-algebraic equations with applications to predictive control and parameter estimation [C] . Rauh Andreas, Senkel Luise, Aschemann Harald, 2012 IEEE International Conference on Control Applications. . 2012

机译：微分代数方程组的灵敏度分析及其在预测控制和参数估计中的应用
5. Analysis of partial differential equations with time-periodic forcing, applications to Navier-Stokes equations. [D] . Coros, Corina Alexandra. 2006

机译：带有时间周期强迫的偏微分方程分析，应用于Navier-Stokes方程。
6. MARS Approach for Global Sensitivity Analysis of Differential Equation Models with Applications to Dynamics of Influenza Infection [O] . Yeonok Lee, Hulin Wu -1

机译：流感感染动态差动方程模型全局敏感性分析的火星方法
7. Vanishing Theorems in Hyperasymptotic Analysis and Applications to Inhomogeneous Linear Differential Equations (Global and asymptotic analysis of differential equations in the complex domain) [O] . Majima Hideyuki 2004

机译：超渐近分析中的消失定理及其在非齐次线性微分方程中的应用（复域中微分方程的整体和渐近分析）

Application of Green's differential equation to the analysis of ion-matrix sheaths around wedge-shaped cathodes

摘要

著录项

相似文献

相关主题

期刊订阅