ON THE SOLUTION OF THE NONLINEAR VLASOV EQUATION

Journal Article · Sun Dec 01 04:00:00 EST 1963 · Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,

OSTI ID:4072833

Knorr, G

Wave-like equations of the nonlinear Vlasov equation for a one- dimensional electron plasma are discussed analytically and numerically. The quasilinear theory was derived in a simple way and some conclusions are drawn from it. It was found that, if the initial conditions of the harmonics of the electrical field differ by orders of magnitude, the type of the solution varies appreciably. The numerical solution was obtained by integrating the characteristic function of the distribution function f, i.e., it's Fourier transform in space and velocity. It is shown that this method is in principle superior to the direct integration of f, Stable and instable cases are discussed. Good agreement between theory and numerical computations was found. (auth)

• Research Organization: Max-Planck-Institut fur Physik und Astrophysik, Munich
• NSA Number: NSA-18-015389
• OSTI ID: 4072833
• Journal Information: Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,, Journal Name: Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys., Vol. Vol: 18; ISSN ZNTFA
• Country of Publication: Country unknown/Code not available
• Language: German

Related Subjects

DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRONS
EQUATIONS
NUMERICALS
PHYSICS
PLASMA
VELOCITY
VLASOV EQUATION