Numerical investigations of different properties of the system of a dust particle and ion cloud are presented. The model is based on the solution of Newton equations for ion trajectories with Monte-Carlo simulations for the ions initial position, velocity distribution, and mean three path. The calculations of the ion density distribution around a single dust particle were made taking into account the presence of an external electric field. The dust particle charge was calculated self-consistently taking into account the ion and the electron fluxes towards the dust particle. A two-dimensional spatial distribution of the electric potential was found in the assumption of weak spatial anisotropy for the case of a small external electric field. The dipole moment and polarization coefficient of the system of “dust particle - ion cloud” was obtained for different values of the ions mean free path and the external electric field. The results showed that the polarization of such a system is significant, it influences the interaction between different dust particles and should be taken into account. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The paper presents the study of oscillations in the two-dimensional Yukawa liquids where the interparticle interaction potential in addition to the Yukawa term has the dipole-dipole interaction term. The frequency of longitudinal oscillations was studied using the Fourier transform of the velocity autocorrelation function. It was found that in the two-dimensional Yukawa liquids the longitudinal oscillation frequency of particles becomes sensitive to variations in the coupling parameter if even weak additional dipole-dipole interaction between particles exists. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The influence of the outer boundary shape on the electrostatic interaction of two charged point macroparticles in an equilibrium plasma is studied within the Debye-Hückel approximation, i.e., based on the linearized Poisson-Boltzmann model. It is shown that the boundary shape has a strong influence on the electrostatic interaction between two macroparticles, which switches from repulsion at small interparticle distances to attraction as it approaches the half-length of the computational cell. It is found that in the case of dust particles arranged in the nodes of a simple cubic lattice, the electrostatic force acting on them is equal to zero; hence, an infinite simple cubic lattice of charged dust particles is mechanically stable. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The ion potential in the warm dense matter regime exhibits wake effects due to streaming degenerate electrons and has been discussed previously [Phys. Rev. E **91**, 023102 (2015)]. Here, we extend the analysis with particular focus on anomalous wake effects that is (i) the collision-induced wake amplification, and (ii) the non-monotonic temperature dependence of the wake amplitude. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Considering a nonideal plasma far from equilibrium, the total potential of a single classical ion in electron stream is calculated via a high-resolution three dimensional Fourier transformation. For the sake of illustration the potential values have been inverted (i.e., multiplied by -1). For more details see the paper by Zh. Moldabekov et al. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

We summarize life and work on nonideal plasma thermodynamics of the late Fazylkhan Baimbetov. Analyzing Baimbetovs method of pseudo potentials we develop several extensions. First we optimize the parameter choice by comparing with recent exact results for thermodynamics. We compare the result of the pseudopotential method with the available exact results, check the formulae for stability and show generalizations of the pseudo potentials and extensions for higher densities. In particular we demonstrate how the introduction of the full Kelbg potential and the Debye-Kaklyugin methods of suppression of high plasma wave modes allows to include higher orders in density up to Wigner-type lattice-like contributions. We show how a new pseudopotential for the free charges can be combined with HNC integral equations. In conclusion we find that the analytical results obtained by Baimbetovs method are, with some improvements, in good overall agreement with available exact results. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The pressure, internal energy, conductivity, thermal conductivity and thermal power of Iron plasma have been calculated at temperatures 10–100 kK and densities less than 2 g/cm^{3}. The plasma composition has been obtained by means of corresponding system of coupled mass action laws. We have considered the atom ionization up to +6. The transport coefficients have been obtained within the relaxation time approximation. The comparison of our results with available measurement and calculation data has shown very good agreement for the pressure and less good agreement for the conductivity. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Quantum effects can affect the shape of the particle kinetic energy distribution function, as the interaction of a particle with its surroundings restricts the volume of configuration space, which, due to the uncertainty relation, results in an increase in the volume of the momentum space, i.e., in a rise in the fraction of particles with higher momenta. Allowing for quantum effects at calculations of the equilibrium rate constants of inelastic processes is important in consideration of such phenomena as the transition of combustion into detonation, flame propagation, vibrational relaxation, and even thermonuclear fusion at high pressure and low temperatures. Quantum effects are also important in treatment of transport properties of the strongly interacting systems of many particles. In this work the new path integral representation of the quantum Wigner function in the phase space has been developed for canonical ensemble. Explicit analytical expression of the Wigner function has been obtained in harmonic approximation. New quantum Monte-Carlo method for *ab initio* calculations of the average values of quantum operators, Wigner function, momentum and position distributions and wave functions of the ground state has been developed and tested. Obtained results are in a very good agreement with available analytical results and results of usual path-integral Monte-Carlo method. The developed approach allows simulation of thermodynamic and kinetic properties of quantum systems and calculation average values of quantum operators, when the usual path integral Monte Carlo methods in configurational space failed. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

A detailed research of mechanisms causing the rotation of dust structures formed in striations of the glow discharge in longitudinal magnetic field is presented. Literary data speak about sign-variable dependence of angular velocity of dust structure on the magnetic field. The first done experiment proves that ion drag force is the reason of rotation with the negative projection of angular velocity on magnetic induction in small magnetic fields. The method of a variation of an ion flux in mixes of gases was used for the research. In the second experiment the gas rotation arising because of eddy electron current in the magnetic field was revealed by the method of probing of the discharge by dust particles. Estimates show that a prevalence of the mechanism of rotation of dust structures and correspondingly the direction of rotation depends both on discharge conditions and on the size of dust particles. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The density response function for streaming ions in homogeneous, parallel electric and magnetic fields is derived self-consistently from kinetic theory. Ion-neutral collisions are treated with the Bhatnagar-Gross-Krook collision operator assuming a constant ion-neutral collision frequency. The result accounts for the non-Maxwellian distribution function of the ions and is valid in the full range from weak to strong magnetization. It provides the basis for various linear response calculations in the context of magnetized complex plasmas, where streaming ions interact with highly charged dust particles under the influence of a strong external magnetic field. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

In strongly coupled plasmas the diffusion of the particles takes place on a timescale that is long compared to the timescale of oscillations of the particles in the local minima of the potential landscape. The ensuing quasi-stability of the local particle configurations can be quantified by monitoring the changes of the immediate surroundings, i.e. the ”cages”, of the particles. Studies of cage correlations are presented here for 2-dimensional Yukawa systems that model dusty plasmas by including the friction exerted on the dust particles by the embedding gaseous environment. We find that the increasing friction enhances the caging time by randomizing the directed motion of the particles. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The research of dust structures dynamics in striations of the glow discharge in the magnetic field in the mixture of gases is presented. A variation of an ion flux velocity at an additive in light plasma forming gas of a small changeable portion of heavy and easily ionized components makes the control of ion drag force. It is shown that the small part of xenon (up to 5 percent) changes the static and dynamic properties of dust structure essentially. The increase of angular velocity of dust structure is revealed upon transition from pure helium to the mixture with small impurity of xenon. A reduction of vertical interpartical distance in dust structure in the mixture with xenon is detected. Results are agreed with data of calculation of characteristics of drift of ions in mixtures of gases. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

A new method for the calculation of the critical point parameters and binodal of vapor-liquid (dielectric-metal) phase transition is suggested. It is based on the hypothesis that cohesion, which defines the main properties of solid state, also determines the properties in the vicinity of the critical point. Comparison with experimental and theoretical data available for metals, semiconductors and rare gases is made. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Experimental investigations of dusty plasma parameters of a DC glow discharge were performed in helium and argon. In the discharge in helium, at high discharge current dust-free regions (voids) were formed in the center of the dust particles clouds that levitated in the strong electric field of a stratified positive column. In experiments with argon, the dust particles were moved from the center of the discharge tube to the periphery at high discharge current. The behavior of voids formation was investigated for different discharge conditions (sort of gas, discharge pressure and discharge current) and dust particles parameters (particles radii and particles total number). It was shown that it is the ion drag force radial component that leads to the formation of voids in helium and moves the particles to the tube periphery in argon discharge. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The formation of clouds of dust particles at the edge of striations of a spherical discharge in ethanol was observed. Periodically, a dust cloud experienced sudden explosion, split into two clouds, which moved in the opposite directions (to the centre of spherical discharge and to the chamber wall). The velocity of the dust cloud was the exponentially decaying function of time with a surprisingly small damping rate as in the case of dissipative dust solitory waves. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The energy-autocorrelation function is calculated for a screened Coulomb system in equilibrium and the contributions of different energy transport channels to the total heat conductivity are explored for magnetized and unmagnetized systems. A special focus is on the time scales of the energy-autocorrelation function which contribute to the field-parallel enhancement of heat conduction in strongly coupled plasmas. The investigation is based on first-principle molecular dynamics simulations. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Complex (dusty) plasmas are composed of weakly ionised gas and charged microparticles and represent the plasma state of soft matter. Due to the “heavy” component – the microparticles – and the low density of the surrounding medium, the rarefied gas and plasma, it is necessary to perform experiments under microgravity conditions to cover a broad range of experimental parameters which are not available on ground. The investigations have been performed onboard the International Space Station (ISS) with the help of the “Plasma Crystal-3 Plus” (PK-3 Plus) laboratory. It was perfectly suited for the formation of large stable liquid and crystalline systems and provided interesting insights into processes like crystallisation and melting, laning in binary mixtures, electrorheological effects due to ac electric fields and projectile interaction with a strongly coupled complex plasma cloud. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Dust particle dynamics is modeled in the so-called Dust Devils (DDs), which are a widespread event on Earth and Mars. We develop methods for the description of dust particle charging in DDs, discuss the ionization processes in DDs, and model charged dust particle motion. Our conclusions are consistent with the fact that DDs can lift a big amount of dust from the surface of a planet into its atmosphere. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

We summarize several semi-phenomenological approaches to estimate the internal energy of one-componentplasma (OCP) in two (2D) and three (3D) dimensions. Particular attention is given to a hybrid approach, which reproduces the Debye-Hückel asymptote in the limit of weak coupling, the ion sphere (3D) and ion disc (2D) asymptotes in the limit of strong coupling, and provides reasonable interpolation between these two limits. More accurate ways to estimate the internal energy of 2D and 3D OCP are also discussed. The accuracy of these analytic results is quantified by comparison with existing data from numerical simulations. The relevance of the KTHNY theory in locating melting transition in 2D OCP is briefly discussed. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Early Experiments at FAIR in 2018 - 2022 suggested by the HEDgeHOB collaboration in the field of non-ideal plasma physics are discussed. Specific energies of 5-10 kJ/g, pressures of 1-2 GPa and temperatures of 1-2 eV are expected to be reached in the substance at the first experiments with a U^{+28} beam with the energy of 0.2 AGeV and maximal intensity 3 · 10^{10} per impulse. It will provide the possibility to investigate the two phase region including the critical point of several metals in HIHEX (Heavy Ion Heating and EXpansion) experiments with the plane and cylindrical geometry, realizing regimes of quasi-isochoric heating, isentropic expansion and compression when the flow strikes the target. Analysis of thermal radiation transfer will give information on the vaporization dynamics. Measurements of electrical conductivity and optical properties on the supercritical adiabat will disclose information on the insulator to metal transition under these conditions. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

A non-self-sustained (NSS) discharge at atmospheric gas pressure containing dust particles is studied. The NSS discharge was controlled by a stationary electron beam with energy up to 120 keV. A numerical model of the NSS discharge is based on the drift-diffusion approach for electrons and ions and self-consistently takes into account effects of the dust particles on the electron and ion densities. The dusty component is described by the number balance equation and the equation of motion for dust particles with allowance for the Stokes force, gravity force and electric force in the cathode sheath. Interaction between dust particles is described in the self-consistent field approximation. It is established that, at a given gas ionization rate and given applied voltage, there is a critical dust particle size above which the levitation condition in the cathode sheath cannot be satisfied. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Complex (dusty) plasmas of micron-sized CeO_{2} polydisperse particles in dc glow discharges at 77 and ∼ 10 K were experimentally investigated. It was obtained that dust structure in cryogenic gas discharge plasma can be a mixture of two fractions (components) with completely different dust ordering and dynamics. We observed under some specific conditions that fast-moving particles of one component diffuse through another component consisted of dust particles arranged in linear chains (strings). From experimental data analysis particle velocity distribution functions for each dust component were obtained. The possible nature of two-component dust structure formation was discussed. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Results of theoretical calculations and experimental measurements of the equation of state (EOS) in the region of warm dense matter (WDM) are discussed and applied to nickel. The thermodynamic properties of nickel and its phase diagram are calculated with the use of multi-phase EOS model. Theoretical calculations of thermodynamic properties of the solid, liquid, and plasma phases, and of the critical point, are compared with results of experiments. The analysis deals with thermodynamic properties of solid nickel at *T* = 0 and 298 K from different band–structure theories, static compression experiments in diamond anvil cells, and the information obtained in shock-wave experiments. Thermodynamic data in the liquid and plasma states, resulting from traditional thermophysical measurements, ”exploding wire” experiments, and evaluations of the critical point are presented. Numerous shock-wave experiments for nickel have been done to measure shock adiabats of crystal and porous samples and release isentropes. These data are analyzed in a self-consistent manner together with all other available data at high pressure. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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 approach. Secondly, the plasma electrodynamics is applied to show that the electric charge of a dust particle is determined by the normal component of the dielectric displacement vector near the grain surface rather than the normal component of the electric field strength. And, finally, the chemical model, initially proposed for determination of partially ionized plasma composition, is demonstrated to be very productive in evaluating the electric charge of the dust component. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The possibility of charged particles trapped by the linear quadrupole Paul trap to form an ensemble with strong Coulomb interaction at atmospheric pressure has been experimentally shown. The ordered structure could confine particles of different sizes and charges. Stable clouds of thousands of oxide aluminum particles with sizes of 0.5÷65 microns were observed in the linear trap with electrodes placed 30 mm apart. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

A Lorentz plasma is considered. Within generalized linear response theory, the electrical conductivity is calculated for arbitrary degeneracy including higher orders of interactions (strong collisions, T matrix). The important quantity for the calculation of transport properties is the transport cross section. Assuming statically screened interaction, a fit formula for the electron – ion transport cross section is proposed which is valid for densities up to warm dense matter (WDM). This formula coincides with analytically known limits and reduces the high numerical effort of T matrix calculations at low densities and high temperatures. The plasma parameter regions are given where a Born approximation should be improved considering a T matrix approach. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

The influence of the electronic degeneration on the electrical conductivity of the fully ionized low-density hightemperature plasma is investigated. The consideration basis is the following: the linear response theory in the formulation of Zubarev, Lenard-Balescu-type collision integrals with dynamical screening of the Coulomb interaction, the first Born approximation in the thermodynamic Green's functions technique. Asymptotic expansions for correlation functions for electron-ion and electron-electron scattering as functions of the degeneracy parameter Θ = *k _{B}T/E_{F}* in the range from Θ

The approach based on the chemical picture of plasma taking into account effects of Coulomb interaction, short range repulsion of atoms and molecules, free electron degeneracy for description of equilibrium composition and thermodynamic functions of non-ideal plasma is proposed. The results of calculations of thermodynamic parameters using the models based upon this approach are presented. The parameters of thermal and caloric equation of state for hydrogen plasma were calculated from moderate to high densities in wide range of temperatures. (© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)