H. Baumgartner

Structural Properties of Screened Coulomb Balls

Small three-dimensional strongly coupled charged particles in a spherical confinement potential arrange themselves in a nested shell structure. By means of experiments, computer simulations, and theoretical analysis, the sensitivity of their structural properties to the type of interparticle forces is explored. While the normalized shell radii are found to be independent of shielding, the shell occupation numbers are sensitive to screening and are quantitatively explained by an isotropic Yukawa model.

Classical and quantum Coulomb crystals

Strong correlation effects in classical and quantum plasmas are discussed. In particular, Coulomb (Wigner) crystallization phenomena are reviewed focusing on one-component non-neutral plasmas in traps and on macroscopic two-component neutral plasmas. The conditions for crystal formation in terms of critical values of the coupling parameters and the distance fluctuations and the phase diagram of Coulomb crystals are discussed.

Melting of trapped few-particle systems.

In small confined systems predictions for the melting point strongly depend on the choice of quantity and on the way it is computed, even yielding divergent and ambiguous results. We present a very simple quantity that allows us to control these problems-the variance of the block averaged interparticle distance fluctuations.

Experiments on metastable states of three-dimensional trapped particle clusters

Small three-dimensional charged-dust clusters, so-called Yukawa balls, are analyzed with regard to their construction principle. For that purpose, in an experimental approach, different (metastable) configurations of clusters with fixed particle number (N<100) have been generated under identical plasma and trapping conditions. Metastable states are frequently observed. In combination with molecular dynamics simulations, it is shown that particle interaction with screening strongly affects the appearance probabilities of metastable configurations. Small clusters show different average density distributions with screened interaction compared to pure Coulomb, although having the same ground state configurations.

Probability of metastable configurations in spherical three-dimensional Yukawa crystals.

Recently the occurrence probabilities of ground and metastable states of three-dimensional Yukawa clusters with 27 and 31 particles have been analyzed in dusty plasma experiments [D. Block, Phys. Plasmas 15, 040701 (2008)]. There it was found that, in many cases, the ground state appeared substantially less frequently than excited states. Here we analyze this question theoretically by means of molecular dynamics (MD) and Monte Carlo simulations and an analytical method based on the canonical partition function. We confirm that metastable states can occur with a significantly higher probability than the ground state. The results strongly depend on the screening parameter of the Yukawa interaction and the damping coefficient used in the MD simulations. The analytical method allows one to gain insight into the mechanisms being responsible for the occurrence probabilities of metastable states in strongly correlated finite systems.

Ground state of a confined Yukawa plasma.

The ground state of an externally confined one-component Yukawa plasma is derived analytically. In particular, the radial density profile is computed. The results agree very well with computer simulations of three-dimensional spherical Coulomb crystals. We conclude in presenting an exact equation for the density distribution for a confinement potential of arbitrary geometry.

Ground states of finite spherical Yukawa crystals

Small three-dimensional strongly coupled clusters of charged particles in a spherical confinement potential arrange themselves in nested concentric shells. If the particles are immersed into a background plasma the interaction is screened. The cluster shell configuration is known to be sensitive to the screening strength. With increased screening, an increased population of the inner shell(s) is observed. Here, we present a detailed analysis of the ground state shell configurations and configuration changes in a wide range of screening parameters for clusters with particle numbers N in the range of 11 to 60. We report three types of anomalous behaviors which are observed upon increase of screening, at fixed N or for an increase of N at fixed screening. The results are obtained by means of extensive first principle molecular dynamics simulations.

Screened Coulomb balls—structural properties and melting behaviour

Classical molecular dynamics and Monte Carlo simulations are used to investigate three-dimensional spherical charged particle clusters which were experimentally observed in dusty plasmas (Arp et al 2004 Phys. Rev. Lett. 93 165005). The shell configuration and geometry of the ground state is found to change with the screening parameter. The melting temperature of small clusters exhibits a non-monotonic dependence on the total number of particles.

Structure and Phase Transitions of Yukawa Balls

In this review, an overview of structural properties and phase transitions in finite spherical dusty (complex) plasma crystals – so-called Yukawa balls – is given. These novel kinds of Wigner crystals can be directly analyzed experimentally with video cameras. The experiments clearly reveal a shell structure and allow to determine the shell populations, to observe metastable states and transitions between configurations as well as phase transitions. The experimental observations of the static properties are well explained by a rather simple theoretical model which treats the dust particles as being confined by a parabolic potential and interacting via an isotropic Yukawa pair potential. The excitation properties of the Yukawa balls such as normal modes and the dynamic behavior, including the time-dependent formation of the crystal requires, in addition, to include the effect of friction between the dust particles and the neutral gas. Aside from first-principle molecular dynamics and Monte Carlo simulations several analytical approaches are reviewed which include shell models and a continuum theory. A summary of recent results and theory-experiment comparisons is given and questions for future research activities are outlined (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Complex plasmas: forces and dynamical behaviour

Some peculiar features of complex (dusty) plasmas are reviewed and discussed. In the plasma sheath, the supersonic ion flow causes charge accumulation in the ion wake, which leads to attractive forces between like-charged dust particles. Ion drag is an important force under microgravity conditions, where it produces dust-free regions (voids). It is shown that the same mechanism determines dust confinement in anodic plasmas and leads to torus-shaped dust clouds in magnetized plasmas. Spherical plasma crystals are an interesting object of study which have led to an understanding of the influence of shielding on the structure of trapped particle clouds.