FOKKER-PLANCK COEFFICIENTS FOR A PLASMA INCLUDING CYCLOTRON RADIATION

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Nucl. Fusion, Suppl.

OSTI ID:4741422

Rostoker, N; Simon, A

Kinetic equations for a plasma have previously been obtained by starting with the Liouville equation and making an expansion in powers of the discreteness parameters. To the lowest order in this expansion the Vlasov equations are obtained. In first order a Fokker-Planck equation is obtained where the coefficients come from the time-asymptotic solutions of integro-differential equations for the pair correlation functions. Solutions have been published for an infinite plasma with Coulomb forces, Coulomb forces and a constant magnetic field, the complete electromagnetic field and no constant magnetic field. In the present paper the complete electromagnetic field and a constant magnetic field are included. The new feature of this problem is that electromagnetic radiation obtains which was absent in all of the cases previously treated. At the outset, the system consists of a large number of bare particles that interact with each other and a denumerably infinite number of vacuum oscillators. The presert statistical treatment leads to a kinetic equation for the one-body function that has a physical interpretation in terms of dressed'' particles and renormalized oscillators. A shield cloud of charge and current density envelopes a particle and the radiation takes place in terms of oscillators that satisfy the plasma dission relation instead of the vacuum dispersion relation. In the low-density limit, or when k >> omega p/c, the result agrees with the vacuum radiation formula employed by Trubnikov. If terms of order ( omega p/kc)/sup 2/ are retained, the principal effects is the renormalization of the oscillators. In the exact radiation formula longitudinal and transverse waves are coupled, i.e., the normal modes do not have a simple polarization. The virtue of the present treatment is that it indicates the terms that represent electromagnetic radiation and the proper particle dressing under these circumstances. (auth)

• Research Organization: General Atomic Div., General Dynamics Corp., San Diego, Calif.
• NSA Number: NSA-17-009758
• OSTI ID: 4741422
• Report Number(s): GA-2480
• Journal Information: Nucl. Fusion, Suppl., Journal Name: Nucl. Fusion, Suppl.
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ACIDS
BOLTZMANN-VLASOV EQUATION
CARBON
CARBON TETRACHLORIDE
CHEMICAL REACTIONS
CORRELATION FUNCTION
CURRENTS
CYCLOTRON RADIATION
CYCLOTRONS
DENSITY
DIFFERENTIAL EQUATIONS
DISPERSION THEORY
ELECTRODES
ELECTROMAGNETIC WAVES
FOKKER-PLANCK EQUATION
INTERACTIONS
LIOUVILLE EQUATION
MECHANICS
OSCILLATIONS
PHYSICS
PLASMA
POLARIZATION
PREPARATION
QUALITATIVE ANALYSIS
QUANTITATIVE ANALYSIS
RECOVERY
SHIELDING
SOLUTIONS
STATISTICS
SULFUR CHLORIDES
URANIUM
URANIUM CHLORIDES
URANIUM TRIOXIDE
VACUUM
VLASOV EQUATION