Parametric analysis of a magnetized cylindrical plasma

The relevant macroscopic model, the spatial structure, and the parametric regimes of a low-pressure plasma confined by a cylinder and an axial magnetic field is discussed for the small-Debye length limit, making use of asymptotic techniques. The plasma response is fully characterized by three-dimensionless parameters, related to the electron gyroradius, and the electron and ion collision mean-free-paths. There are the unmagnetized regime, the main magnetized regime, and, for a low electron-collisionality plasma, an intermediate-magnetization regime. In the magnetized regimes, electron azimuthal inertia is shown to be a dominant phenomenon in part of the quasineutral plasma region and to set up before ion radial inertia. In the main magnetized regime, the plasma structure consists of a bulk diffusive region, a thin layer governed by electron inertia, a thinner sublayer controlled by ion inertia, and the non-neutral Debye sheath. The solution of the main inertial layer yields that the electron azimuthal ene...

[1]  K. Riemann Theory of the collisional presheath in an oblique magnetic field , 1994 .

[2]  N. Hershkowitz,et al.  Neutral pumping in a helicon discharge , 1998 .

[3]  E. Ahedo Structure of the plasma-wall interaction in an oblique magnetic field , 1997 .

[4]  James F. Allen The Plasma Boundary in a Magnetic Field , 2008 .

[5]  R. K. Wakerling,et al.  The characteristics of electrical discharges in magnetic fields , 1949 .

[6]  L. Tonks Theory of Magnetic Effects in the Plasma of an Arc , 1939 .

[7]  S. A. Self,et al.  Static Theory of a Discharge Column at Intermediate Pressures , 1966 .

[8]  N. Sternberg,et al.  Response to “Comment on ‘Magnetic field effects on gas discharge plasmas’ ” [Phys. Plasmas 13, 063511 (2006)] , 2007 .

[9]  E. Ahedo,et al.  Two-region model for positive and negative plasma sheaths and its application to Hall thruster metallic anodes , 2008 .

[10]  J. L. Blank COLLISION-DOMINATED POSITIVE COLUMN OF A WEAKLY IONIZED GAS. , 1968 .

[11]  R. Chodura,et al.  Plasma–wall transition in an oblique magnetic field , 1982 .

[12]  Lewi Tonks,et al.  A General Theory of the Plasma of an Arc , 1929 .

[13]  N. Sternberg,et al.  Magnetic field effects on gas discharge plasmas , 2006 .

[14]  Sidney A. Self,et al.  Steady‐State Theory of an Intermediate‐Pressure Discharge Column in a Magnetic Field , 1967 .

[15]  K. Riemann,et al.  The influence of collisions on the plasma sheath transition , 1997 .

[16]  J. Allen Comment on “Magnetic field effects on gas discharge plasmas” [Phys. Plasmas 13, 063511 (2006)] , 2007 .

[17]  K. Akhtar,et al.  Optical, wave measurements, and modeling of helicon plasmas for a wide range of magnetic fields , 2004 .

[18]  E. Ahedo,et al.  Model of a source-driven plasma interacting with a wall in an oblique magnetic field , 2009 .

[19]  R. Franklin,et al.  The positive column in a magnetic field , 1966 .