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Classical scattering and stopping power in dense plasmas: the effect of diffraction and dynamic screening

Published online by Cambridge University Press:  27 June 2016

M. K. Issanova ,
S. K. Kodanova ,
T. S. Ramazanov ,
N. Kh. Bastykova ,
Zh. A. Moldabekov  and
C.-V. Meister
M. K. Issanova*
Affiliation:
Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan
S. K. Kodanova
Affiliation:
Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan
T. S. Ramazanov
Affiliation:
Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan
N. Kh. Bastykova
Affiliation:
Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan
Zh. A. Moldabekov
Affiliation:
Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan
C.-V. Meister
Affiliation:
Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 9, 64289 Darmstadt, Germany Graduate School of Excellence Energy Science and Engineering, Jovanka-Bontschits-Str. 2, 64287 Darmstadt, Germany
*
Address correspondence and reprint requests to: M. K. Issanova, Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan. E-mail: [email protected]
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Abstract

In 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.

Keywords

Dense plasmaDynamical screeningScattering cross-sectionCoulomb logarithmStopping power
Type
Research Article
Information
Laser and Particle Beams , Volume 34 , Issue 3 , September 2016 , pp. 457 - 466
Copyright
Copyright © Cambridge University Press 2016 

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