Self-contained solution to the spatially inhomogeneous electron Boltzmann equation in a cylindrical plasma positive column

1997 ◽  
Vol 55 (1) ◽  
pp. 890-906 ◽  
Author(s):  
L. L. Alves ◽  
G. Gousset ◽  
C. M. Ferreira
Keyword(s):  
Boltzmann Equation ◽  
Positive Column ◽  
Cylindrical Plasma ◽  
Spatially Inhomogeneous ◽  
Electron Boltzmann Equation

On the quasi-stationary approach to solve the electron Boltzmann equation in pulsed plasmas

2021 ◽  
Author(s):  
Antonio Tejero-del-Caz ◽  
Vasco Guerra ◽  
Nuno Pinhão ◽  
Carlos Daniel Pintassilgo ◽  
Luis L. Alves
Keyword(s):  
Boltzmann Equation ◽  
Pulsed Plasmas ◽  
Stationary Approach ◽  
Electron Boltzmann Equation

RENORMALIZATION AND BOLTZMANN EQUATIONS IN THERMAL QUANTUM FIELD THEORY

1995 ◽  
Vol 10 (11) ◽  
pp. 1693-1700 ◽  
Author(s):  
H. CHU ◽  
H. UMEZAWA
Keyword(s):  
Boltzmann Equation ◽  
Renormalization Scheme ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Boltzmann Equations ◽  
Self Energy ◽  
Spatially Inhomogeneous ◽  
Thermo Field Dynamics ◽  
Self Consistent ◽  
Consistent Manner

The renormalization scheme in nonequilibrium thermal quantum field theories is reexamined. Instead of the self-energy diagonalization scheme, we propose to diagonalize Green’s function at equal time. This eliminates the problem of on-shell definition related to time-dependent energies and spatially inhomogeneous situations, and yields a Boltzmann equation that contains memory effect. The new diagonalization scheme and the derivation of the Boltzmann equation from it can be applied to any thermal situation. It allows the treatment of a nonequilibrium problem beyond perturbational calculations in a self-consistent manner. The results are applicable to both thermo field dynamics and the closed time path formalism.

Electron Boltzmann equation in nonthermal plasmas

1991 ◽  
Vol 43 (8) ◽  
pp. 4409-4426 ◽  
Author(s):  
J. A. Kunc ◽  
W. H. Soon
Keyword(s):  
Boltzmann Equation ◽  
Nonthermal Plasmas ◽  
Electron Boltzmann Equation

UNIFORM Lp-STABILITY ESTIMATE FOR THE SPATIALLY INHOMOGENEOUS BOLTZMANN EQUATION NEAR VACUUM

2008 ◽  
Vol 05 (04) ◽  
pp. 713-739 ◽  
Author(s):  
SEUNG-YEAL HA ◽  
MITSURU YAMAZAKI ◽  
SEOK-BAE YUN
Keyword(s):  
Stability Analysis ◽  
Boltzmann Equation ◽  
Stability Estimate ◽  
Functional Approach ◽  
Classical Solutions ◽  
Nonlinear Functional ◽  
Spatially Inhomogeneous ◽  
Nonlinear Functionals ◽  
Spatially Inhomogeneous Boltzmann Equation

We present a new uniform Lp-stability theory for the spatially inhomogeneous Boltzmann equation near vacuum via the nonlinear functional approach proposed by the first author. Our stability analysis is based on new nonlinear functionals which are equivalent to the pth power of Lp-distance. The L1-nonlinear functionals play the key role of "modulators" which make the accumulative functional be non-increasing in time t along classical solutions.

Reflexionserscheinungen bei Torsions-Alfvén-Wellen in inhomogenen Magnetfeldern/ Reflection Phenomena of Torsional Alfvén Waves in Inhomogeneous Magnetic Fields

1975 ◽  
Vol 30 (12) ◽  
pp. 1594-1599
Author(s):  
E. Räuchle ◽  
P. G. Schüller
Keyword(s):  
Magnetic Fields ◽  
Experimental Results ◽  
Numerical Calculations ◽  
Wave Frequency ◽  
Field Inhomogeneity ◽  
Cylindrical Plasma ◽  
Spatially Inhomogeneous ◽  
Strong Reflection ◽  
Order Of Magnitude ◽  
Good Agreement

Abstract The propagation of torsional Alfen waves in a cylindrical plasma is investigated. Superimposed on the plasma are various types of spatially inhomogeneous axisymmetric magnetic fields. Characteristic examples are: in the direction of propagation spatially decreasing, increasing and periodically modulated magnetic fields. The wave lengths are of the same order of magnitude as the characteristic lengths of the inhomogeneities. Strong reflection is observed which depends on wave frequency and strength of the field inhomogeneity. There exists good agreement between experimental results and numerical calculations.

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