Modeling weakly-ionized plasmas in magnetic field: A new computationally-efficient approach

2015 ◽  
Vol 300 ◽  
pp. 779-799 ◽  
Author(s):  
Bernard Parent ◽  
Sergey O. Macheret ◽  
Mikhail N. Shneider
Keyword(s):  
Magnetic Field ◽  
Computationally Efficient ◽  
Efficient Approach ◽  
Ionized Plasmas ◽  
Weakly Ionized

Phenomenological analysis of shock-wave propagation in weakly ionized plasmas

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 816-822
Author(s):  
Igor V. Adamovich ◽  
Vish V. Subramaniam ◽  
J. W. Rich ◽  
Sergey O. Macheret
Keyword(s):  
Shock Wave ◽  
Wave Propagation ◽  
Phenomenological Analysis ◽  
Shock Wave Propagation ◽  
Ionized Plasmas ◽  
Weakly Ionized

scholarly journals A Lucas–Lehmer approach to generalised Lebesgue–Ramanujan–Nagell equations

2021 ◽  
Author(s):  
Vandita Patel
Keyword(s):  
Computationally Efficient ◽  
Efficient Approach ◽  
Coprime Integers ◽  
Primitive Divisor

AbstractWe describe a computationally efficient approach to resolving equations of the form $$C_1x^2 + C_2 = y^n$$ C 1 x 2 + C 2 = y n in coprime integers, for fixed values of $$C_1$$ C 1 , $$C_2$$ C 2 subject to further conditions. We make use of a factorisation argument and the Primitive Divisor Theorem due to Bilu, Hanrot and Voutier.

EXPERIMENTAL INVESTIGATION OF LANGMUIR PROBES

1967 ◽  
Vol 45 (10) ◽  
pp. 3199-3209 ◽  
Author(s):  
R. M. Clements ◽  
H. M. Skarsgard
Keyword(s):  
Magnetic Field ◽  
Microwave Radiometer ◽  
Resonant Cavity ◽  
Boltzmann Distribution ◽  
Probable Error ◽  
Langmuir Probes ◽  
Noticeable Effect ◽  
Probe Field ◽  
Probe Radius ◽  
Weakly Ionized

Electron temperatures and densities measured in a weakly ionized helium afterglow with cylindrical double probes are compared with measurements obtained using a gated microwave radiometer and a microwave resonant cavity. The pressure was varied from 0.1 to 8.5 Torr. At low pressure, magnetic fields up to 0.11 T were applied. Independent of the values of the electron Larmor radii or particle mean free paths relative to the probe radius, the probes correctly measured the electron temperatures within an estimated random probable error of ±4% and a systematic error not exceeding ±4%. This demonstrates the validity, for the range of conditions studied, of a fundamental assumption of probe theory—that electrons in a retarding probe field are in a Maxwell–Boltzmann distribution at a temperature unaffected by the presence of the probe. Towards higher pressure the measurements show an increasing depression of the plasma density near the probe, associated with the diffusion to it. The applied magnetic field had no noticeable effect on the densities measured with the probes as compared with the cavity measurements.

scholarly journals Application of weakly ionized plasmas for materials sampling and analysis

1991 ◽  
Vol 19 (6) ◽  
pp. 1090-1113 ◽  
Author(s):  
M.W. Blades ◽  
P. Banks ◽  
C. Gill ◽  
D. Huang ◽  
C. LeBlanc ◽  
...  
Keyword(s):  
Ionized Plasmas ◽  
Weakly Ionized
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