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Title: Theoretical and experimental study of elliptical Debye clusters

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.2743822· OSTI ID:20979408
; ; ;  [1]
  1. Department of Physics and Astronomy, Ohio Northern University, Ada, Ohio 45810 (United States)

An elliptical Debye cluster is a system of n identical charged particles interacting through a screened Coulomb potential and confined in a two-dimensional anisotropic parabolic well. A model for this system has been developed with three parameters: n, the well anisotropy {alpha}{sup 2}, and the Debye shielding parameter {kappa}. From numerical solutions of the model, it is shown that the breathing mode persists as the anisotropy increases, and that the normalized, squared breathing frequency increases linearly with {alpha}{sup 2}. Elliptical clusters with n=49 and 15 particles were studied experimentally. The anisotropic potential well was created using a rectangular aperture (17.5x30.2 mm) placed on a flat electrode. The well anisotropy was determined by measuring the center-of-mass (c.m.) oscillation frequencies along the major and minor axes of the resulting elliptical clusters using both driven and thermal oscillations. The two methods give results that are in good agreement. For n=49 particles, the square of the ratios of the c.m. frequencies was {alpha}{sup 2}=2.9{+-}0.1. From a measurement of the breathing frequency, the shielding parameter was found to be {kappa}=2.1{+-}0.2. For n=15 particles, {alpha}{sup 2}=2.8{+-}0.1 and {kappa}=1.9{+-}0.2, demonstrating that an analysis using the model gives consistent results.

OSTI ID:
20979408
Journal Information:
Journal of Applied Physics, Vol. 101, Issue 11; Other Information: DOI: 10.1063/1.2743822; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-8979
Country of Publication:
United States
Language:
English

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