Boundary conditions for drift-diffusion equations in gas-discharge plasmas
V. V. Gorin, A. A. Kudryavtsev, Jingfeng Yao, Chengxun Yuan, Zhongxiang Zhou
Abstract
This paper develops a general approach to the derivation of the boundary conditions for hydrodynamic equations for charged and neutral plasma components. It includes both a well-known classical case for pure diffusion and considers the expressions for diffusion and drift together—for an absorbing (neutralizing) wall with partial reflection and the possible emission of plasma components. Some unclear and controversial terms found in the existing literature are clarified. Several examples of applications of the results, which illustrate the properties of boundary conditions for electrons and ions, are calculated and analyzed.
Topics & Concepts
PhysicsPlasmaBoundary value problemReflection (computer programming)DiffusionBoundary (topology)Plasma diffusionElectronClassical mechanicsMechanicsQuantum electrodynamicsDiffusion equationComputational physicsPlasma instabilityPartial differential equationMathematical analysisPlasma modelingPlasma parametersMaxwell's equationsPlasma parameterPlasma Diagnostics and ApplicationsMagnetic confinement fusion researchIonosphere and magnetosphere dynamics