[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 ...
Dubovtsev, Denis(Universitat Politècnica de València, 2019-09-02)
[ES] El método de los momentos ocupa un lugar especial entre los métodos teóricos dedicados al estudio de los sistemas con interacción de Coulomb entre partículas. Lo más importante y característico es el hecho de que la ...
Ara, J.; Filinov, A.V.; Tkachenko Gorski, Igor Mijail(IOP Publishing, 2022)
[EN] We apply a novel 9-moment variational version of the self-consistent non-perturbative method of moments to study how the temperature affects the dynamic response of the electron gas in thermodynamic equilibrium. The ...
Syzganbaeva, S. A.; Ara-Bernad, Jesús; Askaruly, A.; Ashikbayeva, A. B.; Tkachenko Gorski, Igor Mijail; Arkhipov, Y. V.(IOP Publishing - Europhysics Letters, 2022-10)
[EN] Collective processes in a quasi-classical electron gas are investigated within the frame-work of the interpolational self-consistent method of moments, which makes it possible to express the dispersion and decrement ...
Arkhipov, Yu. V.; Ashikbayeva, A. B.; Askaruly, A.; Davletov, A. E.; Syzganbaeva, S.; Voronkov, V. V.; Tkachenko Gorski, Igor Mijail(Wiley-VCH Verlag, 2015-05)
The dynamic structure factor of dense two-component plasmas is studied within the method of moments. A
new model for the Nevanlinna parameter function is suggested. Our results on the dynamic structure factor
satisfy the ...
Arkhipov, Yu. V.; Ashikbayeva, A. B.; Askaruly, A.; Davletov, A. E.; Tkachenko Gorski, Igor Mijail(American Physical Society, 2014-11-14)
Mathematical, particularly, asymptotic properties of the random-phase approximation, Mermin approximation, and extended Mermin-type approximation of the coupled plasma dielectric function are analyzed within the method of ...
Arkhipov, Yu. V.; Askaruly, A.; Davletov, A. E.; Dubovtsev, D. Yu.; Donko, Z.; Hartmann, P.; Korolov, I.; Conde, L.; Tkachenko Gorski, Igor Mijail(American Physical Society, 2017)
[EN] Dynamic characteristics of strongly coupled classical one-component Coulomb and Yukawa plasmas are obtained within the nonperturbative model-free moment approach without any data input from simulations so that the ...
Filippov, A. V.; Starostin, A. N.; Tkachenko Gorski, Igor Mijail; Fortov, V. E.(Elsevier, 2011-11-28)
The bi-Yukawa effective interaction potential with different screening constants is employed to calculate dust static correlation functions in the hyper-netted chain approximation and to generalize the theory of dust ...
Davletov, A.E.; Yerimbetova, L.T.; Arkhipov, Yu. V.; Mukhametkarimov, Ye. S.; Kissan, A.; Tkachenko Gorski, Igor Mijail(Cambridge University Press, 2018-08-30)
[EN] Grounded on the premise that dust particles are charged hard balls, the analysis in Davletov et al. (Contrib. Plasma Phys., vol. 56, 2016, 308) provides an original pseudopotential model of intergrain interaction in ...
Arkhipov, Yu. V.; Askaruly, A.; Dubovtsev, D. Yu.; Erimbetova, L. T.; Tkachenko Gorski, Igor Mijail(Wiley-VCH Verlag, 2015-05)
The dense plasma dynamic collision frequency is modeled by the first two terms of its asymptotic expansion at high frequencies and its values at a few interpolation points on the real axis. This makes the dynamic collision ...
Vorberger, J.; Donko, Z.; Tkachenko Gorski, Igor Mijail; Gericke, D. O.(American Physical Society, 2012-11-28)
[EN] The dynamics of the ion structure in warm dense matter is determined by molecular dynamics simulations using an effective ion-ion potential. This potential is obtained from ab initio simulations and has a strong ...
The problem of calculation of the electric charge of dust particles in a plasma is considered from different points of view. At first the charging of polarizable dust particles is studied within the orbital motion limited ...
Tkachenko Gorski, Igor Mijail; Filippov, A.V.; Fortov, Vladimir E.; Reshetniak, V.V.; Starostin, A.N.(American Institute of Physics, 2020-04)
[EN] Using the Ornstein-Zernike integral fluid equation for multi-component plasma, the dielectric properties and thermodynamical stability of dusty plasmas are studied. For the most non-ideal dust plasma subsystem, a ...
Arkhipov, Yu. V.; Ashikbayeva, A.B.; Askaruly, A.; Davletov, A.E.; Palací, D.; Tkachenko Gorski, Igor Mijail(Al-Farabi Kazakh National University, 2013)
[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 ...
Ara Bernad, Jesús(Universitat Politècnica de València, 2018-06-28)
El objetivo de este proyecto es construir un algoritmo fiable que permita estimar propiedades dinámicas de materia densa a elevadas temperaturas o plasmas fuertemente acoplados, caracterizados por un gran rango de variación ...
Coloma de la Fuente, Lluís(Universitat Politècnica de València, 2018-07-02)
[ES] La medición de la energía perdida por haces de partículas cargadas es una importante herramienta de diagnóstico y generación en la física de plasmas moderna, relacionada directamente con la fusión inercial mediante ...
Tkachenko Gorski, Igor Mijail; Ferrer Villanueva, José Ramón(Editorial Universitat Politècnica de València, 2019-01-29)
Este libro recoge la experiencia docente de los autores en diversas universidades durante varios años. Por un lado, presenta temas obligatorios y tradicionales como son Álgebra Lineal, Ecuaciones Diferenciales Ordinarias ...
Askaruly, Abdiadil(Universitat Politècnica de València, 2011-02-08)
Investigation of dynamic properties of non-ideal one-component plasmas by the method of moments
Dynamic characteristics of strongly coupled one-component plasmas are studied within the moment approach with local constraints ...
Adamyan, Vadym; Tkachenko Gorski, Igor Mijail(Wiley-VCH Verlag, 2014-12-22)
The work is devoted to the local moment problem, which consists in finding of non-decreasing functions on the real axis
having given first 2n+1; n = 0,1,2,...; power moments on the whole axis and also 2m+1 first power ...
Adamyan, Vadym; Iserte Vilar, José Luis; Tkachenko Gorski, Igor Mijail; Verdú Martín, Gumersindo Jesús(2014-09)
For positive definite Toeplitz matrices generated by trigonometric moments of a non-negative measure we note that the Hilbert-Schmidt norm and the maximal eigenvalue satisfy certain limiting relations. Analogous relations ...