Fluid modes of a spherically confined Yukawa plasma

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.82.036407· OSTI ID:21464504

Kaehlert, H; Bonitz, M ^[1]

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1. Institut fuer Theoretische Physik und Astrophysik, Christian-Albrechts Universitaet zu Kiel, 24098 Kiel (Germany)

The normal modes of a three-dimensional Yukawa plasma in an isotropic harmonic confinement are investigated by solving the linearized cold fluid equations. The eigenmodes are found analytically and expressed in terms of hypergeometric functions. It is found that the mode frequencies solely depend on the dimensionless plasma parameter {xi}={kappa}R, where R is the plasma radius and {kappa} is the inverse screening length. The eigenfrequencies increase monotonically with {xi} and saturate in the limit {xi}{yields}{infinity}. Compared with the results in the Coulomb limit [D. H. E. Dubin, Phys. Rev. Lett. 66, 2076 (1991)], we find an additional class of modes characterized by the number n which determines the number of radial nodes in the perturbed potential. These modes originate from the degenerate bulk modes of the Coulomb system. Analytical formulas for the eigenfrequencies are derived for limiting cases.

• OSTI ID: 21464504
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevE.82.036407; (c) 2010 The American Physical Society; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COULOMB FIELD
EIGENFREQUENCY
HYPERGEOMETRIC FUNCTIONS
LENGTH
PLASMA
PLASMA CONFINEMENT
PLASMA FLUID EQUATIONS
POTENTIALS
THREE-DIMENSIONAL CALCULATIONS
BOLTZMANN-VLASOV EQUATION
CONFINEMENT
DIFFERENTIAL EQUATIONS
DIMENSIONS
ELECTRIC FIELDS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS