skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Theory of the electron sheath and presheath

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4939024· OSTI ID:1258479
 [1];  [1];  [2];  [2];  [2]
  1. Univ. of Iowa, Iowa City, IA (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Here, electron sheaths are commonly found near Langmuir probes collecting the electron saturation current. The common assumption is that the probe collects the random flux of electrons incident on the sheath, which tacitly implies that there is no electron presheath and that the flux collected is due to a velocity space truncation of the electron velocity distribution function (EVDF). This work provides a dedicated theory of electron sheaths, which suggests that they are not so simple. Motivated by EVDFs observed in particle-in-cell(PIC) simulations, a 1D model for the electron sheath and presheath is developed. In the model, under low temperature plasma conditions (Te >> Ti), an electron pressure gradient accelerates electrons in the presheath to a flow velocity that exceeds the electron thermal speed at the sheath edge. This pressure gradient generates large flow velocities compared to what would be generated by ballistic motion in response to the electric field. It is found that in many situations, under common plasma conditions, the electron presheath extends much further into the plasma than an analogous ion presheath. PIC simulations reveal that the ion density in the electron presheath is determined by a flow around the electron sheath and that this flow is due to 2D aspects of the sheath geometry. Simulations also indicate the presence of ion acoustic instabilities excited by the differential flow between electrons and ions in the presheath, which result in sheath edge fluctuations. The 1D model and time averaged PIC simulations are compared and it is shown that the model provides a good description of the electron sheath and presheath.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; AC04-94SL8500; AC05-06OR23100
OSTI ID:
1258479
Alternate ID(s):
OSTI ID: 1234112
Report Number(s):
SAND-2015-8558J; PHPAEN; 642141
Journal Information:
Physics of Plasmas, Vol. 22, Issue 12; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 52 works
Citation information provided by
Web of Science

References (34)

Sheaths in laboratory and space plasmas journal July 2013
Global nonambipolar flow: Plasma confinement where all electrons are lost to one boundary and all positive ions to another boundary journal April 2007
Response of the plasma to the size of an anode electrode biased near the plasma potential journal October 2014
The Theory of Collectors in Gaseous Discharges journal October 1926
Theory of Electron Collection of Spherical Probes journal December 1961
Spherical Langmuir Probe in ``Drifting'' and ``Accelerated'' Maxwellian Distribution journal October 1962
Current collection by an active spherical electrode in an unmagnetized plasma journal December 1992
On anode spots, double layers and plasma contactors journal October 1991
lonization-driven plasma dynamics in a high voltage sheath of a conducting body in the ionosphere journal August 1996
Enhancement of proton acceleration by frequency-chirped laser pulse in radiation pressure mechanism journal July 2015
Probe-Induced Particle Circulation in a Plasma Crystal journal May 1998
Equilibrium states of anodic double layers journal April 2009
Dynamics of fireballs journal May 2008
Sheaths: More complicated than you think journal May 2005
The Bohm criterion and sheath formation journal April 1991
Time-varying impedance of the sheath on a probe in an RF plasma journal August 2006
Experimental study and modeling of the electron-attracting sheath: The influence of secondary electron emission journal July 2008
Ion-acoustic noise excited by positive probes journal April 1981
Probe-Excited Oblique Ion-Acoustic Waves in a Multidipole Plasma Device journal March 1978
Kinetic theory of instability-enhanced collisional effects journal May 2010
Kinetic theory of the presheath and the Bohm criterion journal March 2011
Extensions and applications of the Bohm criterion journal March 2015
Potential of a plasma bound between two biased walls journal August 2012
Principles of Plasma Discharges and Materials Processing book January 2005
On the LambertW function journal December 1996
First Experimental Measurements of the Plasma Potential throughout the Presheath and Sheath at a Boundary in a Weakly Collisional Plasma journal September 2002
Plasma, presheath, collisional sheath and collisionless sheath potential profiles in weakly ionized, weakly collisional plasma journal February 2005
Elastic and Inelastic Scattering of Low‐Velocity He + Ions in Helium journal May 1957
Breakdown development in helium in high voltage open discharge with subnanosecond current front journal July 2015
Discharge From Hot Cao journal May 1911
Why Perform Code-to-Code Comparisons: A Vacuum Arc Discharge Simulation Case Study journal May 2012
Instability-Enhanced Collisional Friction Can Determine the Bohm Criterion in Multiple-Ion-Species Plasmas journal November 2009
Langmuir's Paradox journal November 1955
Kinetic Theory of Instability-Enhanced Collective Interactions in Plasma text January 2010

Cited By (12)

Electron sheath evolution controlled by a magnetic field in modified hollow cathode glow discharge journal September 2018
Two-fluid solutions for Langmuir probes in collisionless and isothermal plasma, over all space and bias potential journal September 2018
Particle simulation of a magnetized plasma sheath with the magnetic field parallel to the wall journal September 2018
Investigation of multi-component magnetized plasma interaction with the carbon surface journal September 2019
Sheath characteristics in a magnetically filtered low density low temperature multicomponent plasma with negative ions journal December 2019
Influence of ion streaming instabilities on transport near plasma boundaries journal February 2016
Radiation transport in kinetic simulations and the influence of photoemission on electron current in self-sustaining discharges journal January 2017
Numerical simulation of the initial stage of unipolar arcing in fusion-relevant conditions journal July 2019
Self-consistent modeling of self-organized patterns of spots on anodes of DC glow discharges journal May 2018
Bridging Child–Langmuir and Warren: exact and approximate solutions for the unipolar sheath of intermediate pressure journal January 2019
Influence of Ion Streaming Instabilities on Transport Near Plasma Boundaries text January 2015
Electron sheath evolution controlled by a magnetic field in modified hollow cathode glow discharge text January 2018

Similar Records

Particle-in-cell study of the ion-to-electron sheath transition
Journal Article · Tue Aug 09 00:00:00 EDT 2016 · Physics of Plasmas · OSTI ID:1258479

Fluidlike studies of the sheath and presheath regions of a plasma
Technical Report · Tue Jan 01 00:00:00 EST 1991 · OSTI ID:1258479

Fluidlike studies of the sheath and presheath regions of a plasma
Miscellaneous · Tue Jan 01 00:00:00 EST 1991 · OSTI ID:1258479