The test charge problem in the theory of bounded plasmas

Tegeback, R.; Usenko, A. S.; Yakimenko, I. P.; Zagorodny, A. G.

doi:10.1017/s0022377800020912

Cited by 8 publications

(2 citation statements)

References 15 publications

(4 reference statements)

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“…However, plasma with the microcanonical equilibrium distribution does not represent a realistic model of a physical system and they did not study shielding of an external charge. There also have been some considerations of a test charge problem for a semi-infinite bounded plasma [10].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of shielding of a moving charged particle in a confined electron plasma

Elizarov¹,

Litvinenko²

2015

Phys. Rev. ST Accel. Beams

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Dynamics of shielding of a moving charged particle in a confined plasma, which represents a realistic model of an electron beam in accelerators, is studied. This is a longstanding problem in plasma physics with important applications in accelerator physics. However, only solutions for an infinite unrealistic plasma are available. We developed a novel method to solve this problem, which consists of transformation of the Vlasov-Poisson differential equations to an integral equation for the Laplace image of the electron density perturbation created by an external charge. The integral equation is then solved numerically via the piecewise polynomial collocation method and the fast Fourier transform. We present thorough analysis of the results obtained and their physical interpretation.

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Section: Introductionmentioning

confidence: 99%

Dynamics of shielding of a moving charged particle in a confined electron plasma

Elizarov¹,

Litvinenko²

2015

Phys. Rev. ST Accel. Beams

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“…The theory of fluctuations in semi-infinite plasmas, with sharp boundaries, is also well known (e.g. Tegeback et al 1977). In some cases the sharp-boundary approximation is inadequate, however.…”

Section: Introductionmentioning

confidence: 99%

Fluid theory for fluctuations in cold inhomogeneous plasmas

Uddholm

1984

J. Plasma Phys.

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The theory for potential surface wave fluctuation spectra in cold, inhomogeneous, magnetized plasmas is reconsidered, adopting a transition probability approach. A fluctuation dissipation relation is derived, which is valid for general density profiles and which reduces to the familiar fluctuation dissipation theorem for homogeneous plasmas. Significant corrections to previous work are found. Particular spectra are calculated for the special case of a magnetized plasma with a one-dimensional inhomogeneity.

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