Wave Dispersion Relation of Two-Dimensional Plasma Crystals in a Magnetic Field

Uchida, Giichiro; Konopka, Uwe; Morfill, G. E.

doi:10.1103/physrevlett.93.155002

Cited by 54 publications

(47 citation statements)

References 17 publications

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“…. 10 8 cm −3 , fields of several Tesla), and complex plasmas [8,10,11]. The method presented in this paper (rotating complex plasmas) covers a wide range of magnetizations at room temperature.…”

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confidence: 99%

Magnetizing a Complex Plasma without a Magnetic Field

et al. 2012

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We propose and demonstrate a concept that mimics the magnetization of the heavy dust particles in a complex plasma while leaving the properties of the light species practically unaffected. It makes use of the frictional coupling between a complex plasma and the neutral gas, which allows us to transfer angular momentum from a rotating gas column to a well-controlled rotation of the dust cloud. This induces a Coriolis force that acts exactly as the Lorentz force in a magnetic field. Experimental normal mode measurements for a small dust cluster with four particles show excellent agreement with theoretical predictions for a magnetized plasma.

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confidence: 99%

Magnetizing a Complex Plasma without a Magnetic Field

et al. 2012

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“…There are at least three magnetized dusty plasma devices [41][42][43], which now, or soon will be, producing experimental data. The prospects for these experiments has motivated simulations, including [44][45][46][47], to study waves for 2D Yukawa liquids and solids under a magnetic field. In this literature, the magnetic field strength is quantified by a ratio of the cyclotron and plasma frequencies for dust particles, β = ω c /ω pd .…”

Section: Introductionmentioning

confidence: 99%

Superdiffusion of two-dimensional Yukawa liquids due to a perpendicular magnetic field

et al. 2014

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Stochastic transport of a two-dimensional (2D) dusty plasma liquid with a perpendicular magnetic field is studied. Superdiffusion is found to occur especially at higher magnetic fields with β of order unity. Here, β = ωc/ω pd is the ratio of the cyclotron and plasma frequencies for dust particles. The mean-square displacement MSD = 4Dαt α is found to have an exponent α > 1, indicating superdiffusion, with α increasing monotonically to 1.1 as β increases to unity. The 2D Langevin molecular dynamics simulation used here also reveals that another indicator of random particle motion, the velocity autocorrelation function (VACF), has a dominant peak frequency ω peak that empirically obeys ω

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“…[12], can be useful in the context of the recently proposed "vanishing dimensions" [6] and "layered structure of space" [4] ideas. The methods can be also useful in astrophysical [17], plasma physics [18] and condensed matter [19,20,8] and other systems of current interest in which a plasma is confined to a layer [21] or a wire [22].…”

Section: Discussionmentioning

confidence: 99%

Thermal Field Theory in a Wire: Applications of Thermal Field Theory Methods to the Propagation of Photons in a One-Dimensional Plasma

Nieves

2011

Int. J. Mod. Phys. A

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The Thermal Field Theory methods are applied to calculate the dispersion relation of the photon propagating modes in a strictly one-dimensional ideal plasma. The electrons are treated as a gas of particles that are confined to a one-dimensional tube or wire, but are otherwise free to move, without reference to the electronic wave functions in the coordinates that are transverse to the idealized wire, or relying on any features of the electronic structure. The relevant photon dynamical variable is an effective field in which the two space coordinates that are transverse to the wire are collapsed. The appropriate expression for the photon free-field propagator in such a medium is obtained, the one-loop photon self-energy is calculated and the (longitudinal) dispersion relations are determined and studied in some detail. Analytic formulas for the dispersion relations are given for the case of a degenerate electron gas, and the results differ from the long-wavelength formula that is quoted in the literature for the strictly one-dimensional plasma. The dispersion relations obtained resemble the linear form that is expected in realistic quasi-1D plasma systems for the entire range of the momentum, and which have been observed in this kind of system in recent experiments.

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Wave Dispersion Relation of Two-Dimensional Plasma Crystals in a Magnetic Field

Cited by 54 publications

References 17 publications

Magnetizing a Complex Plasma without a Magnetic Field

Magnetizing a Complex Plasma without a Magnetic Field

Superdiffusion of two-dimensional Yukawa liquids due to a perpendicular magnetic field

Thermal Field Theory in a Wire: Applications of Thermal Field Theory Methods to the Propagation of Photons in a One-Dimensional Plasma

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