I. M. Tkachenko

发表

Choosing of optimal start approximation for laplace equation numerically solving

V. Baiburin, A. Rozov, N. Khorovodova, 2017 .

Dynamic ion structure factor of warm dense matter.

Z. Donkó, I. M. Tkachenko, D. Gericke, 2012, Physical review letters.

Electric Charge of Dust Particles in a Plasma

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2016 .

Turbulent vapor condensation with noncondensable gases in vertical tubes

Gumersindo Verdú, José L. Muñoz-Cobo, G. Verdú, 1996 .

Multi-electrode quantum-dot semiconductor optical amplifier as an intensity modulator of signals in optical communication systems

V. Belyaev, I. M. Tkachenko, M. Hamze, 2020 .

Electrostatic interactions and stability of dusty plasmas and the multicomponent Ornstein–Zernike equation

A. N. Starostin, V. Fortov, I. M. Tkachenko, 2020 .

Reconstruction of distributions by their moments and local constraints

I. M. Tkachenko, J. Alcober, V. Adamyan, 2003 .

Construction of Solutions of the Hamburger-Lowner Mixed Interpolation Problem for Nevanlinna Class Functions

I. M. Tkachenko, J. Alcober, M. Urrea, 2010 .

Direct Determination of Dynamic Properties of Coulomb and Yukawa Classical One-Component Plasmas.

P. Hartmann, Z. Donkó, I. M. Tkachenko, 2017, Physical review letters.

Classical and quantum warm dense electron gas dynamic characteristics: analytic predictions

I. M. Tkachenko, A. Filinov, J. Ara, 2022, Journal of Physics: Conference Series.

Determination of Strongly Coupled Quantum Plasma Parameters in Terms of the Odd Scattering Spectra Frequency Moments

I. M. Tkachenko, J. Ortner, S. V. Adamjan, 1994 .

Linear static response of model plasmas and Yukhnovsky-Kelbg- Deutsch effective potential

I. M. Tkachenko, V. Adamyan, 2000 .

Static and Dynamic Structure Factors with Account of the Ion Structure for High-temperature Alkali and Earth-alkali Plasmas

W. Ebeling, I. M. Tkachenko, S. Sadykova, 2016 .

Optical Properties of Kelbg‐Pseudopotential‐Modelled Plasmas

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2013 .

Limiting properties of the radial distribution function in electronic liquids

I. M. Tkachenko, 1996 .

Investigation of Dusty Plasma Based on the Ornstein—Zernike Integral Equation for a Multicomponent Fluid

V. Fortov, I. M. Tkachenko, A. Starostin, 2019, JETP Letters.

Collective phenomena in a quasi-classical electron fluid within the interpolational self-consistent method of moments

I. M. Tkachenko, Y. Arkhipov, A. Askaruly, 2022, Europhysics Letters.

High-frequency electrical conductivity and dielectric function of strongly coupled plasmas

I. M. Tkachenko, T. Meyer, 1985 .

Dynamic characteristics of non-ideal plasmas in an external high frequency electric field

Z. Djuric, I. M. Tkachenko, A. Mihajlov, 2004 .

Kinetic coefficients of fully ionized plasmas

Z. Djuric, I. M. Tkachenko, A. Mihajlov, 1994 .

The RPA conductivity of fully ionized plasmas in a magnetic field

Z. Djuric, I. M. Tkachenko, A. Mihajlov, 1994 .

Dust particles of finite dimensions in complex plasmas: thermodynamics and dust-acoustic wave dispersion

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2018, Journal of Plasma Physics.

Polarizational stopping power of heavy-ion diclusters in two-dimensional electron liquids

I. M. Tkachenko, D. Ballester, A. M. Fuentes, 2007, 0710.2984.

Modeling of the Electronic Static Local Field Correction

P. F. Córdoba, I. M. Tkachenko, J. Belda, 2002 .

Static and dynamic structure factors with account of the ion structure for high-temperature alkali and alkaline earth plasmas*

W. Ebeling, I. M. Tkachenko, S. Sadykova, 2010, 1003.0933.

Analysis of dynamical effects in the uniform electron liquids with the self-consistent method of moments complemented by the Shannon information entropy and the path-integral Monte-Carlo simulations

I. M. Tkachenko, J. Ara, A.Filinov, 2023, 2302.07082.

Dynamic properties and the roton mode attenuation in liquid 3He: ab initio study within the self-consistent method of moments

I. M. Tkachenko, A. Filinov, J. Ara, 2023, Philosophical Transactions of the Royal Society A.

Dynamic characteristics of three-dimensional strongly coupled plasmas.

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2020, Physical review. E.

Sum rules and exact inequalities for strongly coupled one‐component plasmas

M. Bonitz, I. M. Tkachenko, T. Dornheim, 2018, Contributions to Plasma Physics.

Static properties of a warm dense uniform electron gas

I. M. Tkachenko, J. Ara, Ll. Coloma, 2021, Physics of Plasmas.

New developments in the application of the method of moments in Plasma Physics

I. M. Tkachenko, 2018 .

Dielectric function of dense plasmas, their stopping power, and sum rules.

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Dynamic properties of one-component strongly coupled plasmas: the sum-rule approach.

I. M. Tkachenko, D. Ballester, G. Zwicknagel, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

Collective and static properties of model two-component plasmas.

I. M. Tkachenko, D. Ballester, A. Davletov, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Statistical approach to beam shaping.

D. Hoffmann, I. M. Tkachenko, D. Varentsov, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

The Nevanlinna Theorem of the Classical Theory of Moments Revisited

P. Fernández de Córdoba, I. M. Tkachenko, M. Urrea, 2001 .

Dynamic Properties of a Two-Dimensional Dense Electron Gas

I. M. Tkachenko, M. Keikimanova, G. Muratova, 2019, Journal of Experimental and Theoretical Physics.

Self-consistent relaxation theory of collective ion dynamics in Yukawa one-component plasmas under intermediate screening regimes.

I. M. Tkachenko, I. I. Fairushin, A. V. Mokshin, 2022, Physical review. E.

Stopping power of an electron gas: The sum rule approach

I. M. Tkachenko, Y. Arkhipov, A. Askaruly, 2019, Contributions to Plasma Physics.

Fast-projectile stopping power of quantal multicomponent strongly coupled plasmas.

I. M. Tkachenko, D. Ballester, 2007, Physical review letters.

Static and Collective Properties of Dusty Non‐Equilibrium Plasmas

I. M. Tkachenko, A. Starostin, A. Filippov, 2013 .

Dynamic Collision Frequency in Kelbg‐Pseudopotential‐Modelled Plasmas and the Method of Moments with Local Constraints

I. M. Tkachenko, Y. Arkhipov, A. Askaruly, 2015 .

Dense Plasma Dynamic Structure Factor Simulation Data vs. the Method of Moments

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2015 .

Canonical solutions of the local moment problem

I. M. Tkachenko, V. Adamyan, 2013, 1311.0501.

Stopping of relativistic projectiles in two-component plasmas

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2013 .

Dynamic conductivity of Kelbg-pseudopotential-modelled plasmas

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2013 .

Dust acoustic waves in complex plasmas at elevated pressure

V. Fortov, I. M. Tkachenko, A. Starostin, 2011 .

al-Farabi Kazakh National University, Almaty, Kazakhstan ABDIADIL ASKARULY INVESTIGATION OF DYNAMIC PROPERTIES OF NON-IDEAL ONE COMPONENT PLASMAS BY THE METHOD OF MOMENTS To obtain the degree of Doctor of Philosophy in Mathematics at the POLYTECHNIC UNIVERSITY OF VALENCIA Supervisors:

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2011 .

Dust acoustic waves in non-equilibrium plasmas at elevated pressure

I. M. Tkachenko, A. Starostin, A. Filippov, 2011 .

Optical Properties of Model Moderately Coupled Plasmas

I. M. Tkachenko, D. Ballester, A. Davletov, 2010 .

Dynamic Properties of One‐Component Moderately Coupled Plasmas: The Mixed Löwner‐Nevanlinna‐Pick Approach

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2010 .

Fast projectile stopping power of two-dimensional strongly correlated electron liquids

I. M. Tkachenko, D. Ballester, A. M. Fuentes, 2007, 0710.2646.

Two‐moment modelling of the dynamic longitudinal conductivity of strongly coupled Coulomb systems

I. M. Tkachenko, D. Ballester, 2005 .

General Solution of the Stieltjes Truncated Matrix Moment Problem

V. Adamyan, I. M. Tkachenko, 2005 .

Stieltjes Truncated Moment Problem with Point Constraints

V. Adamyan, I. M. Tkachenko, 2003 .

Solution of the Stieltjes Truncated Moment Problem

I. M. Tkachenko, V. Adamyan, M. Urrea, 2003 .

Truncated Hamburger moment problems with constraints

I. M. Tkachenko, V. Adamyan, 2001 .

New approach to the decay ratio estimation in B.W.R. N.P.P.: Frequency-moments technique

G. Verdú, D. Ginestar, M. Bovea, 1997 .

Dynamic properties of strongly coupled dusty plasmas with particles of finite dimensions

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2019, Contributions to Plasma Physics.

Critical multiple correlations in the Landau model

I. M. Tkachenko, 1979 .

Stopping Power of Magnetized and Unmagnetized Plasmas: Sum Rules and Asymptotic Forms

I. M. Tkachenko, J. Ortner, M. Steinberg, 2001 .

The Plasma Stopping Power Velocity Moment Diagnostics

I. M. Tkachenko, Y. Arkhipov, A. Askaruly, 2014 .

Electromagnetic modes in cold magnetized strongly coupled plasmas

I. M. Tkachenko, J. Ortner, V. M. Rylyuk, 1998, physics/9906016.

Energy losses of fast heavy-ion projectiles in dense hydrogen plasmas

I. M. Tkachenko, D. Ballester, 2008, 0812.4298.

Energy loss of relativistic projectiles in non-ideal electron liquids

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2013 .

Optical Properties of Dense Plasmas

I. M. Tkachenko, Y. Arkhipov, D. Dubovtsev, 2020 .

Perturbative approach to the mode dispersion in charged particle bilayers

I. M. Tkachenko, D. Ballester, H. Zhang, 2003 .

Electrical conductivity of dense non-ideal plasmas in external HF electric field

I. M. Tkachenko, A. Mihajlov, V. Adamyan, 2006 .

Electrical Conductivity of Strongly Coupled Model and Real Plasmas

P. F. Córdoba, I. M. Tkachenko, 2002 .

Electrical Conductivity of Fully‐Ionized Multicomponent Real and Model Plasmas

I. M. Tkachenko, P. F. de Córdoba, 1999 .

Screened Effective Interaction Potential for Two‐Component Plasmas

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2016 .

Interparticle interaction potential in two-component plasmas

I. M. Tkachenko, A. Davletov, Y. Arkhipov, 2014 .

The Method of Moments and Its Applications in Plasma Physics

I. M. Tkachenko, Y. Arkhipov, A. Askaruly, 2012 .

Reconstruction of internal longitudinal conductivity of non-ideal plasmas by exact relations and sum rules

I. M. Tkachenko, D. Ballester, 2005 .

Optical properties of dense coulomb plasmas

I. M. Tkachenko, Y. Arkhipov, A. Askaruly, 2017 .

IR Spectra of Dense Xenon and Argon Plasmas

V. Fortov, I. M. Tkachenko, J. Ortner, 1992 .

Sum rules and exact relations for quantal Coulomb systems

I. M. Tkachenko, V. Adamyan, 2003 .

Electromagnetism of one-component plasmas of massless fermions

I. M. Tkachenko, V. M. Rylyuk, 2023, Journal of Plasma Physics.

Analysis of dynamical effects in the uniform electron liquids with the self-consistent method of moments complemented by the Shannon information entropy and the path-integral Monte-Carlo simulations

I. M. Tkachenko, J. Ara, A.Filinov, 2023, 2302.07082.

Dynamical response in strongly coupled uniform electron liquids: Observation of plasmon-roton coexistence using nine sum rules, Shannon information entropy, and path-integral Monte Carlo simulations

I. M. Tkachenko, A. Filinov, J. Ara, 2023, Physical Review B.

Direct Determination of Dynamic Properties of Coulomb and Yukawa Classical One-Component Plasmas.

Z. Donkó, I. M. Tkachenko, A. Davletov, 2017, Physical review letters.

OCP Dynamical Structure Factor and the Plasma Dispersion: Method of Moments

I. M. Tkachenko, S. V. Adamjan, T. Meyer, 1989 .