An analysis of lattice wave spectra in a three-dimensional dusty plasma structure formed in a direct current gas discharge with alternating polarity under microgravity conditions is reported. The spectra are determined using the Fourier transform of microparticle velocities, measured by tracking microparticles with subpixel resolution. Both longitudinal and transverse modes are detected and analyzed. The absence of a "k-gap" in the long-wavelength domain of the transverse mode strongly suggests that the microparticles form a solid structure. Therefore, the experimental spectra are compared with the spectra obtained from molecular dynamics simulations for different lattice structures and their orientation. This comparison yields important dusty plasma parameters, such as the particle charge and the plasma screening length. The measured longitudinal and transverse sound velocities allow us to estimate the elastic moduli of the particle component. These are rather small in the absolute magnitude, but when normalized by the number density and the interaction energy of the particles resemble those in conventional matter.

Fragmentation of a suspension of micron-sized plastic microparticles and their contraction into dense globules was experimentally obtained in a gas discharge plasma, when the plasma density was deliberately and abruptly increased. The globules took up spherical shapes 0.14-1.1 mm in diameters and contained from tens to thousands microparticles. The fragmentation and globule formation appears to be similar to the development of gravitational instability. This process is attributed to the Le Sage's like attraction among microparticles in a dense plasma due to the plasma losses inside a globule hypothesized theoretically in the middle of the 1990s. The key role of plasma flows in the attraction was prominently demonstrated in the same experiment by the distinctly visible disintegration of the globules when we reduced the density of the surrounding plasma to the initial one. Also molecular dynamics simulations of fragmentation of microparticle clouds and globules formation qualitatively resemble typical patterns of the fragmentation and collapse of interstellar nebulae.

Structural and dynamical properties of a bilayer binary strongly coupled dusty plasma system in a sheath of an rf discharge are experimentally investigated. Microparticles of two different sizes are aligned into vertical pairs due to ion focusing (plasma wakes) downstream from the upper particles in the ion flow toward the bottom electrode. The pairs are ordered into a 2D hexagonal crystalline structure. The collective mode dispersion relations are measured and analyzed. Splitting of the modes in the bilayer lattice is observed and theoretically described. The relative intensities of the mode branches reflect non-reciprocal features of the wake-mediated interaction between the microparticles. The conditions of stability of vertically aligned bilayer structure are discussed, and relevant plasma parameters are estimated.

Microparticles of two sizes are confined in a dc discharge in a glass tube with polarity switch in the PK-4 laboratory on board the International Space Station. Small and big particles separate from each other presumably due to the unbalance of the force under microgravity condition, forming an ellipsoidal interface. Particles close to the symmetric axis of the cylindrical glass tube are driven by a manipulation laser and a particle flow is generated. The flow velocity depends not only on the laser current but also on the configuration and location of the particle cloud. Counterintuitively, it is observed that a vortex can be formed at the interface, only if the flow velocity is below a certain critical value. Our experiments provide a great opportunity to study the new facets of vortex formation at particle-resolved level.

A quasi-two-dimensional plasma crystal in (3 + 1) dimensions has been experimentally observed for the first time; i.e., three spatial coordinates of each microparticles of the crystal for a long time have been determined. As a result, fine details of the structural evolution of such a system upon its melting and crystallization have been identified.

We study the spatial distribution of dynamical properties in a strongly coupled confined experimental dust monolayer with a dense central region and a rarefied periphery. We show that the dust particle oscillations spectrum shifts into the low-frequency range from the center of the structure toward its periphery. Correspondingly, the high-frequency particle oscillations are localized in the central region of the system. This effect is quantitatively described within the framework of the model system of trapped screened Coulomb charges. Such spatial localization has a significant effect on the spatial distribution of dynamical parameters, such as the amplitude of particle oscillations and the coupling parameter. The obtained results might be useful for the theory of crystal formation, instabilities and phase transitions in complex (dusty) plasmas, colloidal suspensions, and Coulomb crystals.

We propose a low-density discharge plasma model that takes into account the impact of oxygen admixture in typical conditions of complex (dusty) plasmas. Numerical simulations based on this model show that the concentration of negative ions turns out to be very high, and they play an important role in the overall kinetics in this particular range of plasma conditions. The ambipolar diffusion electric field drags these negative ions into the center of the plasma. The density of negative ions is high enough to push the negatively charged dust component out of the center, both by weakening the radial electric field and by increasing the thermophoretic force. This phenomenon was observed in the published experiment and qualitatively supports the proposed model. Additionally, the proposed model allows an alternative explanation of the experiment.

Self-organization of dust grains into stable filamentary dust structures (or "chains ") largely depends on dynamic interactions between individual charged dust grains and complex electric potential arising from the distribution of charges within a local plasma environment. Recent studies have shown that the positive column of the gas discharge plasma in the Plasmakristall-4 (PK-4) experiment at the International Space Station supports the presence of fast-moving ionization waves, which lead to variations of plasma parameters by up to an order of magnitude from the average background values. The highly variable environment resulting from ionization waves may have interesting implications for the dynamics and self-organization of dust particles, particularly concerning the formation and stability of dust chains. Here, we investigate the electric potential surrounding dust chains in the PK-4 experiment by employing a molecular dynamics model of the dust and ions with boundary conditions supplied by a particle-in-cell with Monte Carlo collision simulation of the ionization waves. The model is used to examine the effects of the plasma conditions within different regions of the ionization wave and compare the resulting dust structure to that obtained by employing the time-averaged plasma conditions. The comparison between simulated dust chains and experimental data from the PK-4 experiment shows that the time-averaged plasma conditions do not accurately reproduce observed results for dust behavior, indicating that more careful treatment of plasma conditions in the presence of ionization waves is required. It is further shown that commonly used analytic forms of the electric potential do not accurately describe the electric potential near charged dust grains under these plasma conditions.

Heat transport in a three-dimensional complex (dusty) plasma was experimentally studied in microgravity conditions using Plasmakristall-4 (PK-4) instrument on board the International Space Station (ISS). An extended suspension of microparticles was locally heated by a shear flow created by applying the radiation pressure force of the manipulation-laser beam. Individual particle trajectories in the flow were analysed and from these, using a fluid heat transport equation that takes viscous heating and neutral gas drag into account, the complex plasma's thermal diffusivity and kinematic viscosity were calculated. Their values are compared with previous results reported in ground-based experiments with complex plasmas.

Time-dependent shear motion of dust particles in a three-dimensional (3-D) strongly coupled dusty plasma under microgravity conditions was investigated using the European Space Agency–Roscosmos facility Plasma-Kristall 4 (PK-4) on the International Space Station (ISS). The dust particles, which were negatively charged, were trapped in a glow discharge plasma powered by a dc voltage that switched its polarity periodically. They self-organized themselves into a structure resembling a cold liquid. A manipulation laser beam of a circular cross section pushed a stream of particles, moving them through the surrounding sample region; its power was modulated using a rectangular pulse, causing an impulsive unsteady flow. At the onset of the impulsive motion, the flow was observed as it grew in space and time. Later, during the steady manipulation, we find the thickness of the flow region fluctuated significantly over time.

We report observation of the dust ionization waves (DIWs) excited by an external oscillating electric field on the Plasma Kristall-4 facility under microgravity conditions. It is shown that at the smallest excitation amplitude, the waves are linear, and the dispersion relation can be deduced from the experimental data. The microparticle oscillations are represented as a superposition of two longitudinal waves propagating in the opposite directions. In the investigated range of excitation frequency, the wavenumber is not directly proportional to the frequency, and the phase velocity is almost proportional to the frequency. We propose an interpretation of DIW assuming that the microparticle effect on the recombination rate rather than the microparticle subsystem compressibility is responsible for the wave propagation. The calculated phase velocity of DIW is compatible with the experimental one.

In this paper, we give a detailed description of a novel plasma chamber-the Zyflex chamber-that has been specifically designed for complex/dusty plasma research under reduced gravitational influence as realized during parabolic flight or aboard the International Space Station. The cylindrical, radio-frequency driven discharge device includes a variety of innovations that, for example, allow us to flexibly adjust plasma parameters and its volume via enhanced plasma generation control and a movable, multi-segmented electrode system. The new complex/dusty plasma research tool also supports, due to its overall increased size compared to former space based complex plasma experiments such as PKE-Nefedov or PK-3 Plus, much larger particle systems. Additionally, it can be operated at much lower neutral gas pressures, thus reducing the damping of particle motion considerably. Beyond the technical description and particle-in-cell simulation based characterization of the plasma vessel, we show sample results from experiments performed with this device in the laboratory as well as during parabolic flights, both of which clearly demonstrate the new quality of complex/dusty plasma research that becomes accessible with this new plasma device.

Microparticle suspensions in a polarity-switched discharge plasma of the Plasmakristall-4 facility on board the International Space Station exhibit string-like order. As pointed out in [Phys. Rev. Research 2, 033314 (2020)2643-156410.1103/PhysRevResearch.2.033314], the string-order is subject to evolution on the timescale of minutes at constant gas pressure and constant parameters of polarity switching. We perform a detailed analysis of this evolution using the pair correlations and length spectrum of the string-like clusters (SLCs). Average exponential decay rate of the SLC length spectrum is used as a measure of string order. The analysis shows that the improvement of the string-like order is accompanied by the decrease of the thickness of the microparticle suspension, microparticle number density, and total amount of microparticles in the field of view. This suggests that the observed long-term evolution of the string-like order is caused by the redistribution of the microparticles, which significantly modifies the plasma conditions.

An interesting aspect of complex plasma is its ability to self-organize into a variety of structural configurations and undergo transitions between these states. A striking phenomenon is the isotropic-to-string transition observed in electrorheological complex plasma under the influence of a symmetric ion wake field. Such transitions have been investigated using the Plasma Kristall-4 (PK-4) microgravity laboratory on the International Space Station. Recent experiments and numerical simulations have shown that, under PK-4-relevant discharge conditions, the seemingly homogeneous direct current discharge column is highly inhomogeneous, with large axial electric field oscillations associated with ionization waves occurring on microsecond time scales. A multi-scale numerical model of the dust–plasma interactions is employed to investigate the role of the electric field in the charge of individual dust grains, the ion wake field and the order of string-like structures. Results are compared with those for dust strings formed in similar conditions in the PK-4 experiment.

Recent studies have shown that the positive column of the gas discharge plasma in the Plasmakristall-4 (PK-4) experiment onboard the International Space Station (ISS) supports the presence of fast-moving ionization waves, which lead to variations of plasma parameters, such as the axial electric field, and the electron and ion number densities, temperatures, and drift velocities by up to an order of magnitude from the average background values. This may have interesting implications for the dynamics and self-organization of dust particles in this environment, particularly concerning the formation of dust chains. The electrorheological effect, where clouds of positively charged ions concentrate downstream of the negatively charged dust grain and affect interparticle attractions, is currently considered the most probable mechanism for the formation of structures such as dust strings and crystals. Here we investigate the formation of filamentary dust structures in the PK-4 by employing a molecular dynamics model of the dust and ions with boundary conditions supplied by a Particle-in-Cell with Monte Carlo collisions (PIC-MCC) simulation of the ionization waves. The model is used to examine the effect of plasma conditions at various points in the ionization waves as well as time-averaged plasma conditions. Comparison with experimental data from the PK-4 shows that the simple time average does not accurately reproduce observed results, indicating that more careful treatment of plasma conditions in the presence of ionization waves is required.

The penetration of a supersonic particle at the interface is studied in a binary complex plasma. Inspired by the experiments performed in the PK-3 Plus Laboratory on board the International Space Station, Langevin dynamics simulations were carried out. A Mach cone structure forms in the lateral wave behind the supersonic extra particle, where the kink of the cone flanks is observed at the interface. The propagation of the pulse-like perturbation along the interface is demonstrated by the evolution of the radial and axial velocity of the small particles in the vicinity of the interface. The decay of the pulse strength is determined by the friction, where the propagation distance can reach several interparticle distances for small damping rate. The dependence of the dynamics of the background particles in the vicinity of the interface on the penetration direction implies that the disparity of the mobility may be the cause of various interfacial effects.

In a plasma containing micrometer-size dust particles, nonlinear wave synchronization was investigated experimentally under microgravity conditions on board the International Space Station (ISS). These dust particles were confined into a 3-D cloud, in the vicinity of a diffuse edge of the plasma, which was generated by an inductively coupled radio frequency (RF) glow discharge. A cross-sectional slab of the cloud was imaged using a video camera. The dust-density fluctuations in the slab were characterized using the video image data. A steady and long-lived dust acoustic wave (DAW) was observed to be spontaneously generated in the cloud; it propagated through the dust cloud, which had a gradually varying density distribution. Two kinds of spectral analyses of the wave motion were performed, using Fourier transforms and Hilbert transforms, respectively; these revealed two distinctive spatial domains in the cloud, termed frequency clusters. Within each cluster, waves were found to oscillate at a dominant frequency that remained constant, manifesting mutual synchronization throughout the cluster. Across the two clusters, the dominant frequency exhibited a step-wise change, with a frequency ratio of 2:1, which is consistent with phase-lock conditions for a harmonic synchronization state.

A new type of nonlinear dust pulse structures has been observed in afterglow complex plasma under microgravity condition on board the International Space Station (ISS). The dust pulses are triggered spontaneously as the plasma is switched off and the particles start to flow through each other (uni-directional or counter-streaming) in the presence of a low-frequency external electric excitation. The pulses are oblique with respect to the microparticle cloud and appear to be symmetric with respect to the central axis. A possible explanation of this observation with the spontaneous development of a double layer in the afterglow of complex plasma is described.