Continuous spectrum of a non-neutral plasma column

S. N. Bhattacharyya; A. Bhattacharjee

doi:10.1063/1.872184

Continuous spectrum of a non-neutral plasma column

S. N. Bhattacharyya, A. Bhattacharjee

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6 Scopus citations

Abstract

The linearized dynamics about the cylindrical equilibrium of a non-neutral plasma in a uniform axial magnetic field is discussed. A spectral analysis shows the existence of two continua, both of which are shown to be stable. The possibility of Suydam-like rapidly oscillating solutions is also demonstrated. The Suydam solutions may imply the existence of an infinite sequence of unstable modes that belong to the discrete spectrum.

Original language	English (US)
Pages (from-to)	895-897
Number of pages	3
Journal	Physics of Plasmas
Volume	4
Issue number	3
DOIs	https://doi.org/10.1063/1.872184
State	Published - 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.872184

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title = "Continuous spectrum of a non-neutral plasma column",

abstract = "The linearized dynamics about the cylindrical equilibrium of a non-neutral plasma in a uniform axial magnetic field is discussed. A spectral analysis shows the existence of two continua, both of which are shown to be stable. The possibility of Suydam-like rapidly oscillating solutions is also demonstrated. The Suydam solutions may imply the existence of an infinite sequence of unstable modes that belong to the discrete spectrum.",

author = "Bhattacharyya, {S. N.} and A. Bhattacharjee",

year = "1997",

doi = "10.1063/1.872184",

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pages = "895--897",

journal = "Physics of Plasmas",

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T1 - Continuous spectrum of a non-neutral plasma column

AU - Bhattacharyya, S. N.

AU - Bhattacharjee, A.

PY - 1997

Y1 - 1997

N2 - The linearized dynamics about the cylindrical equilibrium of a non-neutral plasma in a uniform axial magnetic field is discussed. A spectral analysis shows the existence of two continua, both of which are shown to be stable. The possibility of Suydam-like rapidly oscillating solutions is also demonstrated. The Suydam solutions may imply the existence of an infinite sequence of unstable modes that belong to the discrete spectrum.

AB - The linearized dynamics about the cylindrical equilibrium of a non-neutral plasma in a uniform axial magnetic field is discussed. A spectral analysis shows the existence of two continua, both of which are shown to be stable. The possibility of Suydam-like rapidly oscillating solutions is also demonstrated. The Suydam solutions may imply the existence of an infinite sequence of unstable modes that belong to the discrete spectrum.

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U2 - 10.1063/1.872184

DO - 10.1063/1.872184

M3 - Article

AN - SCOPUS:0345936957

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EP - 897

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 3

ER -

Continuous spectrum of a non-neutral plasma column

Abstract

All Science Journal Classification (ASJC) codes

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