The Child–Langmuir law and analytical theory of collisionless to collision-dominated sheaths
Author:
- 14 November 2008
- journal article
- review article
- Published by IOP Publishing in Plasma Sources Science and Technology
- Vol. 18 (1) , 014005
Abstract
This paper is concerned with summarizing simple analytical models of space-charge sheaths and tracing their relation to the Child–Langmuir model of an ion sheath. The topics discussed include the Child–Langmuir law and model of a collisionless ion sheath, the Mott–Gurney law and model of a collision-dominated ion sheath, the Bohm model of a collisionless ion–electron sheath, the Su–Lam–Cohen model of a collision-dominated ion–electron sheath, ion sheaths with arbitrary collisionality, high-accuracy boundary conditions for the Child–Langmuir and Mott–Gurney models of an ion sheath and the mathematical sense of Child–Langmuir type models of an ion sheath from the point of view of modern theoretical physics.Keywords
This publication has 43 references indexed in Scilit:
- Understanding and modelling plasma–electrode interaction in high-pressure arc discharges: a reviewJournal of Physics D: Applied Physics, 2008
- The plasma–sheath boundary regionJournal of Physics D: Applied Physics, 2003
- The Bohm criterion and sheath formationJournal of Physics D: Applied Physics, 1991
- Perturbation Methods in Applied Mathematics1981
- Interpretation of Field Measurements in the Cathode Region of Glow DischargesPhysical Review B, 1955
- The Cathode Drop in an Electric ArcPhysical Review B, 1929
- The Interaction of Electron and Positive Ion Space Charges in Cathode SheathsPhysical Review B, 1929
- CXX. A theory of the abnormal cathode fallJournal of Computers in Education, 1923
- The Effect of Space Charge and Residual Gases on Thermionic Currents in High VacuumPhysical Review B, 1913
- Discharge From Hot CaoPhysical Review B, 1911