Modes of the Kadomtsev Plasma Instability

Huchital, D. A.; Holt, E. H.

doi:10.1103/physrevlett.16.677

Cited by 14 publications

(7 citation statements)

References 9 publications

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“…the simultaneous appearance of the modes (hybride modes). This result agrees with the experimental statements made in the papers of Huchital et al [8] andFlietner et al [12]. Suzuki [17], investigating theoretically the instabilities in a slab of a semiconductor plasma subject to crossed electric and magnetic fields, obtained similar results.…”

Section: CM Ie Much Less Than the Dimensionssupporting

confidence: 91%

“…Putting 8 = 0 in (10) one gets the well-known radial distribution of density for parallel fields [5]. Hence the relations (8) along with no(r, @) from (10) represent first approximative so-lutions for the coupled system (8), in which the second term now vanishes, this formula describes cylindrical plasmas in the stationary state for crossed electric and magnetic fields.…”

Section: CM Ie Much Less Than the Dimensionsmentioning

confidence: 97%

“…The second terms express the interaction between the particular gradients of diffusion and the longitudinal magnetic field, whilst the last terms refer to the usual Hall field. By forming the aforesaid difference by means of the relations (8) and comparing this with the last term on the left-hand side of (7) one finds that the latter exceeds the former by nearly an order of magnitude, thus enabling us to neglect it in first approximation. Consequently we obtain by combination of the equations (7) where No is the value of no(r, @) at r = 0 and J, denotes the zero-order Bessel function of first kind.…”

Section: CM Ie Much Less Than the Dimensionsmentioning

confidence: 99%

“…In order to remove aVo/ar and aVo/aCP from (12) we have used the relations (8). ') According to the procedure of Johnson and Jerde we expand the functions f and 1, which are to satisfy the boundary condition f(R, @) = 1(R, @) = 0, into absolutely and uniformly convergent series in terms of the eigenfunctions of the Bessel operator [15] : ') Since 'we restrict ourselves in future to qualitative expositions, we have employed the relations (8) for the purpose of a simplification of the analysis without the second and third terms.…”

Section: CM Ie Much Less Than the Dimensionsmentioning

confidence: 99%

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On the Behaviour of a Cylindrical Electron‐Hole Plasma in a Magnetic Field with Transverse Component

Brauer

1968

Physica Status Solidi (b)

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The properties of a cylindrical semiconductor plasma generated by injection and placed in a longitudinal magnetic field with a small transverse component are investigated both for the stable and unstable state. The plasma is described by the macroscopic equations of motion and continuity for electrons and holes. For the stationary case formulae are derived and discussed concerning the density distribution of the plasma as well as the radial and azimuthal electric field. The investigation of the density instabilities follows a method developed by Johnson and Jerde for parallel fields. It is shown that the introduction of a transverse component of the magnetic field leads to a coupling of the modes. I n the simplest caee this causes the simultaneous appearance of the n = 0 and n = 1 mode with the same frequency above certain threshold values of the fields. On this basis an explanation of the oscillistor effect is possible.. Es werden die Eigenschaften eines durch Injektion erzeugten Halbleiterplasmas zylindrischer Geometrie in einem longitudinalen

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Section: CM Ie Much Less Than the Dimensionssupporting

confidence: 91%

Section: CM Ie Much Less Than the Dimensionsmentioning

confidence: 97%

Section: CM Ie Much Less Than the Dimensionsmentioning

confidence: 99%

Section: CM Ie Much Less Than the Dimensionsmentioning

confidence: 99%

See 2 more Smart Citations

On the Behaviour of a Cylindrical Electron‐Hole Plasma in a Magnetic Field with Transverse Component

Brauer

1968

Physica Status Solidi (b)

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“…This corresponds to the effect previously reported in the regular column 6. Figures 11 and 12show how the amplitude and frequency of the two modes depend upon B z .…”

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confidence: 86%

Shear Stabilization of a Collision-Dominated Plasma

Reynolds

Holt

1968

Phys. Rev.

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The effect of magnetic shear on the stability of the electron-neutral collision-dominated plasma is determined by introducing the shear directly into the basic macroscopic equations which describe the plasma. The dispersion equation for the family of perturbations of helical form is reduced to a stability criterion which defines the onset of such perturbations. An equation describing the form of the zero-order plasma density profile, which is required for the numerical evaluation of the stability criterion, is derived. The theory is applied to a hollow plasma column. Theoretical radial profiles of the zero-order plasma density are computed and verified experimentally. The experimentally determined profile of the first-order plasma density guides the choice of the mathematical model of the perturbation which is used in the stability calculation. The hollow plasma column is found experimentally to possess a regime between the quiescent and turbulent states where perturbations of helical form exist. Mode switching between the single and double helical perturbations is found. The plasma is predicted to be stabilized when the magnetic shear is in the opposite sense to the plasma perturbation, and destabilized in the other case. These predictions are experimentally verified within the over-all accuracy of experiment and theory. 0 1 1--h-x © X X A 0 © m-2 ©© + Pressure (Torr)

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