Nonlinear PIC simulation in a Penning trap

Lapenta, G.; Delzanno, Gian Luca; Finn, John M.

doi:10.1063/1.1454321

Cited by 3 publications

(2 citation statements)

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“…[4,5,6]. Compression effects are retained in the terms depending on the normalized temperature (X (assumed to be uniform) and on the normalized effective plasma length Lo(r).…”

Section: Introductionmentioning

confidence: 99%

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Diocotron spectrum with compression effects

Delzanno¹,

Pariev²,

Lapenta³

et al. 2002

AIP Conference Proceedings

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Abstract. The diocotron spectrum for a simplified model of Malmberg-Penning traps that includes compression effects due to end curvature is investigated herein. Performing an initial value treatment, we find that there is a class of length profiles for which the linearized eigenvalue equation of the model can be integrated in quadratures (integrable case). In this case, there is only algebraic growth when the effective angular frequency has a maximum (hollow profile) or a minimum, and the model is mathematically equivalent to the zero curvature (2D Euler) case. Furthermore, we study profiles that are slightly different from the integrable one (the difference being characterized by a small parameter, 6), finding that the frequency of the unstable I = I mode scales as F2/ 3 . Analytical calculations and numerical simulations are found in remarkable agreement.

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“…[4,5,6]. Compression effects are retained in the terms depending on the normalized temperature (X (assumed to be uniform) and on the normalized effective plasma length Lo(r).…”

Section: Introductionmentioning

confidence: 99%

“…The relation between physical and dimensionless quantities can be found in Ref. [5]. The effective plasma length is assumed fixed in time and this makes the model 2D.…”

Section: Introductionmentioning

confidence: 99%