Rigorous fluid model for 3D analysis of the diocotron instability

Coppa, Gianni; D’Angola, A.; Delzanno, Gian Luca; Lapenta, Giovanni

doi:10.1063/1.1454300

Cited by 2 publications

(3 citation statements)

References 10 publications

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“…70 , in good agreement with the result (o, -wr -2/3 obtained from Eq. (6). Figure 3 shows the growth rate (y) of the unstable I = 1 mode as a function of t. Remarkably, we find y ,•E 0.…”

Section: Wr(rwt0)) + Lws(r Tow)mentioning

confidence: 87%

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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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“…70 , in good agreement with the result (o, -wr -2/3 obtained from Eq. (6). Figure 3 shows the growth rate (y) of the unstable I = 1 mode as a function of t. Remarkably, we find y ,•E 0.…”

Section: Wr(rwt0)) + Lws(r Tow)mentioning

confidence: 87%

“…[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%

Diocotron spectrum with compression effects

Delzanno¹,

Pariev²,

Lapenta³

et al. 2002

AIP Conference Proceedings

View full text Add to dashboard Cite

show abstract

“…In normalized units, the model consists of the following system of equations [6]: For further details on the model and its derivation we refer to Refs. [6] and [10]. The model can be regarded as quasi-2D since only the potential in the trap depends on the axial coordinate and can be reduced to a fully 2D model by neglecting the time variation of the effective plasma length (in this case one does not need to solve the 3D Poisson equation).…”

Section: Physical Modelmentioning

confidence: 99%

Nonlinear PIC simulation in a Penning trap

Lapenta¹,

Delzanno²,

Finn³

2002

AIP Conference Proceedings

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Abstract. We study the nonlinear dynamics of a Penning trap plasma, including the effect of the finite length and end curvature of the plasma column. A new cylindrical PIC code, called KANDINSKY, has been implemented by using a new interpolation scheme. The principal idea is to calculate the volume of each cell from a particle volume, in the same manner as it is done for the cell charge. With this new method, the density is conserved along streamlines and artificial sources of compressibility are avoided. The code has been validated with a reference Eulerian fluid code. We compare the dynamics of three different models: a model with compression effects, the standard Euler model and a geophysical fluid dynamics model. The results of our investigation prove that Penning traps can really be used to simulate geophysical fluids.

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Rigorous fluid model for 3D analysis of the diocotron instability

Cited by 2 publications

References 10 publications

Diocotron spectrum with compression effects

Diocotron spectrum with compression effects

Nonlinear PIC simulation in a Penning trap

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