Operatorenmethode zur Lösung der Vlasov-Gleichung mit BGK-Stoßglied und äußerem elektrischem Feld

✍ Scribed by Winfried Kolley; Günter Vojta

• Publisher: John Wiley and Sons
• Year: 1967
• Tongue: English
• Weight: 385 KB
• Volume: 7
• Category: Article
• ISSN: 0005-8025
• DOI: 10.1002/ctpp.19670070610

✦ Synopsis

Irreversible processes in a classical electron plasma arc treated on the basis of a linearized VLASOV equation supplemented by BEATNAGAR-GROSS-KROOK terms describing electronelectron and electron-ion collisions correctly. The infinitely extended plasma is under the action of a space-and time-dependent external electric field. A general method of solntion with projection operator techniques is given which results in a system of two coupled VOLTERRA integral equations of the convolution type for the internal electric field and the current density. From there follows the electron distribution function, the elect,ric field in the plasma, the electrical conductivity and a very general dispersion relation including LAXDAU and collision damping. The method given can be generalized f. i. for multicompncnt plasmas and for strong external electric fields.