Abstract
A nonlinear equation of motion for the breathing-mode oscillation of a complex plasma disk is derived. Particles interact via a shielded Coulomb force with a Debye length λ and are confined in a parabolic potential well. Damping is due to the Epstein drag force. This system is modeled as a circular disk having uniform charge and mass densities. The equilibrium radius R0 and breathing frequency ωbr are calculated as a function of λ and d, the effective nearest-neighbor separation. For the unshielded Coulomb force (λ→∞), ωbr2=3. When R0/λ≪1, ωbr2−3 varies as (R0/λ)2. When R0/λ≫1, the value of ωbr depends on d. In the plasma regime d≪λ, ωbr2∼4, while in the nearest-neighbor regime d>λ, ωbr2 increases linearly with R0/λ with a slope proportional to d.
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