scholarly journals Modification of the Coulomb Logarithm due to Electron-Neutral Collisions

2019 ◽  
Vol 123 (2) ◽  
Author(s):  
G. J. M. Hagelaar ◽  
Z. Donko ◽  
N. Dyatko
Keyword(s):  
2016 ◽  
Vol 34 (3) ◽  
pp. 457-466 ◽  
Author(s):  
M. K. Issanova ◽  
S. K. Kodanova ◽  
T. S. Ramazanov ◽  
N. Kh. Bastykova ◽  
Zh. A. Moldabekov ◽  
...  

AbstractIn the present work, classical electron–ion scattering, Coulomb logarithm, and stopping power are studied taking into account the quantum mechanical diffraction effect and the dynamic screening effect separately and together. The inclusion of the quantum diffraction effect is realized at the same level as the well-known first-order gradient correction in the extended Thomas–Fermi theory. In order to take the effect of dynamic screening into account, the model suggested by Grabowski et al. in 2013 is used. Scattering as well as stopping power of the external electron (ion) beam by plasma ions (electrons) and scattering of the plasma's own electrons (ions) by plasma ions (electrons) are considered differently. In the first case, it is found that in the limit of the non-ideal plasma with a plasma parameter Γ → 1, the effects of quantum diffraction and dynamic screening partially compensate each other. In the second case, the dynamic screening enlarges scattering cross-section, Coulomb logarithm, and stopping power, whereas the quantum diffraction reduces their values. Comparisons with the results of other theoretical methods and computer simulations indicate that the model used in this work gives a good description of the stopping power for projectile velocities $v\,{\rm \lesssim}\, 1.5 v_{{\rm th}}$, where vth is the thermal velocity of the plasma electrons.


1982 ◽  
Vol 253 ◽  
pp. 512 ◽  
Author(s):  
R. T. Farouki ◽  
E. E. Salpeter

2002 ◽  
Vol 68 (2) ◽  
pp. 81-86 ◽  
Author(s):  
YU. V. ARKHIPOV ◽  
F. B. BAIMBETOV ◽  
A. E. DAVLETOV ◽  
K. V. STARIKOV

Starting from a memory-function formalism coupled with the Green– Kubo formula and an approximate expression for the generalized Coulomb logarithm, the electric conductivity of a dense high-temperature hydrogen plasma is studied. A pseudopotential model, taking account of short-range quantum effects and long-range screening-field effects, is employed to include quantum mechanical and polarization effects. An analytical formula for the Coulomb logarithm is proposed when the thermal de Broglie wavelengths are rather smaller than the Debye radius. A minimum in the curve of electrical conductivity is found and some physical evidence for its appearance is produced.


2000 ◽  
Vol 18 (3) ◽  
pp. 541-547
Author(s):  
E. BÉSUELLE ◽  
D. TEYCHENNÉ ◽  
R.R.E. SALOMAA

The role of collisional absorption is supposed to be important in the beginning of the interaction between a laser pulse and matter. Later on, collective absorption phenomenons take place. The scope of this paper is to present first results about the so-called AC-run-away effect, defined as a “sudden transition from collisional absorption regime to a collective one.” For this purpose, we use a simple model based on ballistic theory. The delicate point concerning the Coulomb logarithm is also studied: we propose for it a convenient cutoff and an ensemble averaged Coulomb logarithm fit formula. Another application of the model presented here is the normal skin effect. We show some sensible differences between the present approach and those based on more common and rough collision frequency formulas.


2001 ◽  
Vol 8 (11) ◽  
pp. 5049-5050 ◽  
Author(s):  
T. S. Ramazanov ◽  
S. K. Kodanova

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