Physics
Scientific paper
Oct 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..799..577t&link_type=abstract
NEW VISTAS IN DUSTY PLASMAS: Fourth International Conference on the Physics of Dusty Plasmas. AIP Conference Proceedings, Volum
Physics
Dusty Plasmas, Dust, Plasma Diagnostics, Plasma Simulation, Crystal Structure, Dusty Or Complex Plasmas, Plasma Crystals
Scientific paper
The helical structures are the simplest 3D crystal-like cylindrical structures with radius R being a system of 2D clusters equally separated along the cylindrical axis with a relative rotation on constant angle φ0. For mean free path for grain charging much larger than the separation of the grains, the total energy of grain interaction is a sum of all pair grain interactions. The helical structures have been found experimentally for ions in laser traps in cylindrical gas discharges at very low temperatures (in both case as ``warms''). The equilibrium criterion and the criteria of stability including the absence of saddle points show that in the plane ρ, φ the bifurcation points are often present with new branches appearing (stable and unstable). Numerical MD simulations show that for cylindrical symmetry any random distributions of grains is developing into helical structures. The theory of collective modes of helical structures is developed for arbitrary grain interactions. The dispersion relation for frequencies of the collective modes for different branches of helical structures is derived and solved numerically for interaction including different type of screened grain potentials including the grain attraction. The dispersion relation in the first Brillouin zone for the square of the frequency ω2 is shown to be a be-cubic equation and gives the square of frequency ω2 > 0 for stable modes and the square of the growth rates for the unstable modes ω2 < 0. Modes for helical structures in parabolic external confining potential well perpendicular to cylindrical axis are found. Stabile self-confined structures without external confinement are discovered in presence of both non-collective and collective grain attractions.
Gousein-Zade N. G.
Morfill Gregor E.
Tsytovich Vadim N.
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