A numerical study of dust lattice waves and structural phase transitions in plasma crystals

Physics – Plasma Physics

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Scientific paper

Complex Plasmas are systems consisting of electrons, ions, neutral gas molecules and dust particles. They play an important role both in astrophysical environments and laboratory situations. A complex plasma system behaves differently than either a pure plasma or a pure dust cloud. Under certain conditions when strongly coupled, it can exist in either a “liquid” or even “crystalline” state or some combination of the two. The first complex plasma in a crystalline state (what is now called a plasma crystal) was observed experimentally in 1994. This new system is proving to be of great interest to both the plasma physics community and certain sections of solid-state physics. Since this time, there has been numerous experimental as well as theoretical research on plasma crystals. One recent topic of interest is the study of waves in complex plasma and plasma crystals. In this research, a complex plasma system was modeled as a Yukawa system and thermally excited Dust Lattice Waves (DLW's) were investigated using a numerical code called Box_Tree. First, a plasma crystal strictly confined on a Two Dimensional (2D) plane was considered and the dispersion properties for both the longitudinal and in-plane transverse DLW modes were determined. The results were found to agree with previous experimental and theoretical research results in the literature. Then the plasma crystal was formed in a Three Dimensional (3D) box within a vertical confining potential well, simulating the typical experimental environment. A novel DLW mode, the out-of-plane transverse mode, was observed and the dispersion relations obtained and analyzed. Those were also derived using an analytical method and the results compared favorably with simulation. The other primary topic of research in this work concerns the structural phase transitions and dust lattice instabilities in a plasma crystal. Again a vertically confined Yukawa system was considered. Various structural phases were obtained under different conditions and the results shown to agree with previous research where such existed. The 1 2 layer transition was examined in detail and shown to be caused by the out-of-plane lattice instability. Finally, the growth rates for this out-of- plane lattice instability were obtained using the Box_Tree simulation and the results shown to agree with those obtained from analytical theory.

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