scholarly journals Transport Coefficients and Velocity Distribution Function of an Ion Swarm in an AC Electric Field Obtained from the BGK Kinetic Equation

1994 ◽  
Vol 47 (3) ◽  
pp. 305 ◽  
Author(s):  
RE Robson ◽  
T Makabe
Keyword(s):  
Distribution Function ◽  
Steady State ◽  
Kinetic Equation ◽  
Velocity Distribution ◽  
Transport Coefficients ◽  
Velocity Distribution Function ◽  
Model Kinetic Equation ◽  
Bgk Model ◽  
Ac Electric Field ◽  
Periodic Steady State

The transition to a periodic steady state for an ion swarm in a gas is investigated using the BGK model kinetic equation. Exact expressions for transport coefficients and the velocity distribution function are obtained and the latter is compared with experimental observations of ions in their parerit gases undergoing predominantly charge-transfer collisions.

scholarly journals Velocity Distribution Functions and Transport Coefficients of Electron Swarms in Gases in the Presence of Crossed Electric and Magnetic Fields

1995 ◽  
Vol 48 (3) ◽  
pp. 557 ◽  
Author(s):  
KF Ness
Keyword(s):  
Distribution Function ◽  
Magnetic Fields ◽  
Velocity Distribution ◽  
Transport Coefficients ◽  
Velocity Distribution Function ◽  
Distribution Functions ◽  
Electron Motion ◽  
Electric And Magnetic Fields ◽  
Velocity Distribution Functions ◽  
Spatially Homogeneous

A multi-term solution of the Boltzmann equation is used to calculate the spatially homogeneous velocity distribution function of a dilute swarm of electrons moving through a background of denser neutral molecules in the presence of crossed electric and magnetic fields. As an example, electron motion in methane is considered.

The unsteady Boltzmann kinetic equation and non-equilibrium thermodynamics of an electron gas for the Rayleigh flow problem

2010 ◽  
Vol 88 (7) ◽  
pp. 501-511 ◽  
Author(s):  
A. M. Abourabia ◽  
T. Z. Abdel Wahid
Keyword(s):  
Distribution Function ◽  
Kinetic Equation ◽  
Velocity Distribution ◽  
Flow Problem ◽  
Electron Gas ◽  
Irreversible Thermodynamics ◽  
Distribution Functions ◽  
Thermodynamic Force ◽  
Model Kinetic Equation ◽  
Non Equilibrium

In the framework of irreversible thermodynamics, the characteristics of the Rayleigh flow problem of a rarified electron gas extracted from neutral atoms is examined and proved to obey the entropic behavior for gas systems. A model kinetic equation of the BGK (Bhatnager–Gross–Krook) type is solved, using the method of moments with a two-sided distribution function. Various macroscopic properties of the electron gas, such as the mean velocity, the shear stress, and the viscosity coefficient, together with the induced electric and magnetic fields, are investigated with respect to both distance and time. The distinction between the perturbed velocity distribution functions and the equilibrium velocity distribution function at different time values is illustrated. We restrict our study to the domain of irreversible thermodynamics processes with small deviation from the equilibrium state to estimate the entropy, entropy production, entropy flux, thermodynamic force, and kinetic coefficient and verify the celebrated Boltzmann H-theorem for non-equilibrium thermodynamic properties of the system. The ratios between the different contributions of the internal energy changes, based upon the total derivatives of the extensive parameters, are predicted via Gibbs’ equation for both diamagnetic and paramagnetic plasmas. The results are applied to a typical model of laboratory argon plasma.

scholarly journals Velocity distribution function of hydrogen atoms in ion source discharges

2021 ◽  
Author(s):  
Tatsuhiro Tokai ◽  
Yuji Shimabukuro ◽  
Hidenori Takahashi ◽  
Keita Bito ◽  
Motoi Wada
Keyword(s):  
Distribution Function ◽  
Velocity Distribution ◽  
Velocity Distribution Function ◽  
Ion Source ◽  
Hydrogen Atoms

scholarly journals Velocity distribution function of spontaneously evaporating atoms

2020 ◽  
Vol 5 (10) ◽  
Author(s):  
Sergiu Busuioc ◽  
Livio Gibelli ◽  
Duncan A. Lockerby ◽  
James E. Sprittles
Keyword(s):  
Distribution Function ◽  
Velocity Distribution ◽  
Velocity Distribution Function

Electromagnetic fluctuations from energetic particles in plasmas

1988 ◽  
Vol 40 (3) ◽  
pp. 407-417 ◽  
Author(s):  
Cheng Chu ◽  
J. L. Sperling
Keyword(s):  
Distribution Function ◽  
Velocity Distribution ◽  
Charged Particles ◽  
Velocity Distribution Function ◽  
Black Body ◽  
Black Body Radiation ◽  
Specific Model ◽  
Magnetized Plasma ◽  
Plasma Power ◽  
Correlation Techniques

Electromagnetic fluctuations, induced by energetic charged particles, are calculated using correlation techniques for a uniform magnetized plasma. Power emission in the ion-cyclotron range of frequencies (ICRF) is calculated for a specific model of velocity distribution function. The emissive spectra are distinct from that of the black-body radiation and have features that are consistent with experimental observation.

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