A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma

Tassi, Emanuele; Romé, M.; Chandre, Cristel

doi:10.1063/1.4871491

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…This permitted, in particular, to see how the presence of a kinetic species modifies the conditions found for the EC stability of 2D incompressible MHD. Also, we mention the application of the EC method for the formal stability analysis of a Hamiltonian hybrid model for the description of non-neutral plasmas [76]. In this case, the stability analysis permitted to determine the impact of the presence of massive charged particles, described kinetically by virtue of their large Larmor radius, on the stability properties of a pure electron plasma in the presence of a uniform and constant magnetic field.…”

Section: Hybrid Vlasov-mhd Modelmentioning

confidence: 99%

Formal stability in Hamiltonian fluid models for plasmas

Tassi¹

2022

J. Phys. A: Math. Theor.

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We review the progress made, during the last decade, on the analysis of formal stability for Hamiltonian ﬂuid models for plasmas, carried out by means of the Energy-Casimir (EC) method. The review begins with a tutorial Section describing the essential concepts on the Hamiltonian formalism for ﬂuid models and on the EC method, which will be frequently used in the article. Subsequently, a nonlinear stability analysis applied to reduced magnetohydrodynamics (MHD) is described, as paradigmatic example for the application of the EC method. The review of the recent results begins with the equilibrium and formal stability analysis of MHD with general helical symmetry, followed by the treatment of extended MHD. Applications of the EC method to a hybrid MHD-Vlasov model with pressure coupling and to a reduced ﬂuid model accounting for electron temperature anisotropy are described next. The formal stability analysis of compressible reduced MHD is then presented and used to show the connection between the EC method and the classical δW method for MHD stability. The concept of negative energy mode (NEM) is also brieﬂy reviewed and applied to a model for electron temperature gradient (ETG) instability. In the context of the search for equilibria by a variational procedure, which is part of the EC method, we discuss a recent interpretation of the classical tearing modes in terms of singular equilibria of MHD linearized about Beltrami equilibria. Finally, we mention some possible directions for future developments.

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Section: Hybrid Vlasov-mhd Modelmentioning

confidence: 99%

Formal stability in Hamiltonian fluid models for plasmas

Tassi¹

2022

J. Phys. A: Math. Theor.

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“…and the density of the electron fluid at the equilibrium are monotonically decreasing functions of the corresponding single-particle energies in the rotating frame [19].…”

Section: -4mentioning

confidence: 99%

“…(3) is the Poisson's equation determining the electrostatic potential. The equations form a noncanonical Hamiltonian system [19], characterized by the existence of two independent families of Casimir invariants, given by C 1 = dAF (n e ) and C 2 = dAd 2 vG ( f d ), with F and G arbitrary functions. The invariants include, as particular cases, the familiar invariants of the 2D Euler incompressible equations [20,9], such as the enstrophy, and those of the Vlasov equation, such as the entropy.…”

Section: Physical Modelmentioning

confidence: 99%

Effects of dust contamination on the transverse dynamics of a magnetized electron plasma

Romé¹,

Cavaliere²,

Cavenago³

et al. 2015

AIP Conference Proceedings

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Abstract. Complex (dusty) plasmas are characterized by the presence of a fraction of micrometric or sub-micrometric particles which may collect a surface charge up to the order of a few thousand electron charges. The dusty plasmas studied in the experiments generally satisfy a global neutrality condition. By contrast, we present here the investigation of a magnetized nonneutral plasma, i.e., a plasma with a single sign of charge (e.g. electrons) confined in a Penning-Malmberg trap, contaminated by a dust population. We simulate the two-dimensional transverse dynamics of this multi-component plasma with a particle-in-cell code implementing a mass-less fluid (drift-Poisson) approximation for the electrons and a kinetic description for the dust component (including gravity). Simulations with different initial dust distributions and densities have been performed in order to investigate the influence of the dust on the development of the diocotron instability in the electron plasma. In particular, the early stage of the growth of the diocotron modes has been analyzed by Fourier decomposition.

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A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma

Cited by 2 publications

References 21 publications

Formal stability in Hamiltonian fluid models for plasmas

Formal stability in Hamiltonian fluid models for plasmas

Effects of dust contamination on the transverse dynamics of a magnetized electron plasma

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