Stopping of charged particles in dense one-component plasmas

Arkhipov, YV.; Askaruly, A.; Ashikbayeva, A.; Dubovtsev, D.; Syzganbayeva, S.; Tkachenko Gorski, IM. (2018). Stopping of charged particles in dense one-component plasmas. Recent Contribution to Physics. 65(2):51-57. http://hdl.handle.net/10251/133780S515765

Analysis of methods for calculating the static characteristics of dense Coulomb systems

[EN] In this paper, various methods for calculating static characteristics of plasma, such as HNC, MHNC, VMHNC, Percus-Yevik and analytical models were analyzed to satisfy a mathematical condition. Structural characteristics of a one-component plasma were reconstructed in a wide range of coupling parameters within the most requested various modern methods (HNC, MHNC, VMHNC, Percus-Yevik, and analytical models). All these methods were analyzed to fulfill the fundamental Cauchy ¿ Schwartz mathematical inequality. As a result a HNC method with the empirical expression of the bridge function and one of the recent methods for obtaining a structural factor based on a parameterized formula does not satisfy the inequality. The other methods for calculating static characteristics listed above beside the stated ones satisfy the condition. For the general analysis of a method, functional dependence was obtained expressing the Cauchy-Schwartz inequality. This dependence includes the frequency moments, which are defined within the framework of the method of moments. To satisfy the inequality, this relationship must be strictly positive. For each considered method of obtaining static structural characteristics, this relationship was calculated and analyzed. As a result, it was found that a number of methods do not satisfy the Cauchy-Schwartz inequality.Arkhipov, YV.; Askaruly, A.; Ashikbayeva, A.; Davletov, A.; Dubovtsev, D.; Santybayev, K.; Tkachenko Gorski, IM. (2018). Analysis of methods for calculating the static characteristics of dense Coulomb systems. Recent Contribution to Physics. 67(4):20-32. http://hdl.handle.net/10251/133778S203267

ON THE COLLISIONAL ONE-COMPONENT PLASMA DIELECTRIC FUNCTION

[EN] Asymptotic properties of the collisional one-component plasma dielectric function in the random-phase (RPA) and Mermin approximation, with a constant collision frequency, are analyzed from the point of view of the verification of sum rules. The latter are the power frequency moments of the loss function, a positive even function of frequency directly related to the imaginary part of the inverse dielectric function. The zero moment is shown to coincide with that of the RPA, the f-sum rule is satisfied, and the fourth moment sum rule is verified only partly, without taking the correlations into account. These drawbacks of the Mermin model expression for the dielectric function define the realm of applicability of this approximation.Arkhipov, YV.; Ashikbayeva, A.; Askaruly, A.; Conde, L.; Davletov, A.; Tkachenko Gorski, IM. (2013). ON THE COLLISIONAL ONE-COMPONENT PLASMA DIELECTRIC FUNCTION. News of National Academy of Sciences of the Republic of Kazakhstan. Physico-mathematical series. 2:46-50. http://hdl.handle.net/10251/102259S4650

Statical structural properties of nonideal plasma

[EN] In this article radial distribution functions and static structure factors of nonideal plasma are investigated in the framework of Ornstein-Zernike equation with Percus-Yevick bridge function and Deutch micropotential. It is shown that short range symmetries appear in ionic subsystem of dense plasma and bridge contributions of electrons promote creation of symmetries in ionic subsystem of nonideal plasma.The financial support of the Ministry of education and science of the Republic of Kazakhstan projects # 1099/ GF is gratefully acknowledged.Arkhipov, YV.; Askaruly, A.; Voronkov, V.; Davletov, A.; Ashikbayeva, A.; Tkachenko Gorski, IM. (2013). Statical structural properties of nonideal plasma. International Journal of Mathematics and Physics. 4(1):80-84. http://hdl.handle.net/10251/148680S80844

Energy loss of relativistic projectiles in non-ideal electron liquids

[EN] The energy loss of relativistic projectiles in collisional one-component plasmas is analyzed within the method of moments. Both the canonical and non-canonical solutions of the Hamburger moment problem corresponding to five convergent power frequency moments of the electron plasma loss function are employed with the static, purely imaginary, Nevanlinna parameter with the imaginary part iqual to the collision frequency calculated within the Green-Kubo formalism in terms of static structure factors evaluated in the HNC approximation using the Deutsch effective potential.Thus we take into account the dissipation processes in the plasma. It is pointed out that the correlations only slightly influence the deviation of the stopping power with the relativistic corrections taken into account from the classical Bethe-Bohr-Larkin asymptotic form.The financial support of the Spanish Ministerio de Educación y Ciencia Project # ENE2010-21116-C02-02 and the Ministry of education and science of the Republic of Kazakhstan projects #1128/GF, 1129/GF, 1099/GF are gratefully acknowledged. IMT acknowledges also the hospitality of the al-Farabi Kazakh National UniversityArkhipov, YV.; Ashikbayeva, A.; Askaruly, A.; Davletov, A.; Palací, D.; Tkachenko Gorski, IM. (2013). Energy loss of relativistic projectiles in non-ideal electron liquids. International Journal of Mathematics and Physics. 4(1):50-55. http://hdl.handle.net/10251/15511450554