A hybrid-Vlasov model based on the current advance method for the simulation of collisionless magnetized plasma

Valentini, F.; Trávnı́ček, P.; Califano, Francesco; Hellinger, Petr; Mangeney, A.

doi:10.1016/j.jcp.2007.01.001

Cited by 188 publications

(268 citation statements)

References 23 publications

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“…(2). By subtracting the electron and proton motion equations, making a Boussinesqlike approximation (1/n 1 when multiplied ∇ 2 E) and taking ∇·E 0, we obtain the following generalized Ohm's law (Valentini et al, 2007):…”

Section: The Modelmentioning

confidence: 99%

Solar wind interaction with the Earth's magnetosphere: the role of reconnection in the presence of a large scale sheared flow

Califano

Faganello

Пегораро

et al. 2009

Nonlin. Processes Geophys.

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Abstract. The Earth's magnetosphere and solar wind environment is a laboratory of excellence for the study of the physics of collisionless magnetic reconnection. At low latitude magnetopause, magnetic reconnection develops as a secondary instability due to the stretching of magnetic field lines advected by large scale Kelvin-Helmholtz vortices. In particular, reconnection takes place in the sheared magnetic layer that forms between adjacent vortices during vortex pairing. The process generates magnetic islands with typical size of the order of the ion inertial length, much smaller than the MHD scale of the vortices and much larger than the electron inertial length. The process of reconnection and island formation sets up spontaneously, without any need for special boundary conditions or initial conditions, and independently of the initial in-plane magnetic field topology, whether homogeneous or sheared.

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Section: The Modelmentioning

confidence: 99%

Solar wind interaction with the Earth's magnetosphere: the role of reconnection in the presence of a large scale sheared flow

Califano

Faganello

Пегораро

et al. 2009

Nonlin. Processes Geophys.

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“…4, we make use of a Eulerian code [5][6][7] that solves the Vlasov-Poisson equations for one spatial and one velocity dimension…”

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confidence: 99%

Response to “Comment on ‘Undamped electrostatic plasma waves’” [Phys. Plasmas 20, 034701 (2013)]

et al. 2013

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Numerical and experimental evidence is given for the occurrence of the plateau states and\ud concomitant corner modes proposed in Valentini et al. [Phys. Plasmas 19, 092103 (2012)]. It is argued that these states provide a better description of reality for small amplitude off-dispersion disturbances than the conventional Bernstein-Greene-Kruskal or cnoidal states such as those proposed in Schamel [Phys. Plasmas 20, 034701 (2013)]

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“…The dimensionless sound velocity is defined as c s = (γ P /n) 1/2 . The electric field E is calculated by means of a generalized Ohm's law (Valentini et al, 2007) that includes electron inertia effects…”

Section: Methodsmentioning

confidence: 99%

Kelvin-Helmholtz vortices and secondary instabilities in super-magnetosonic regimes

et al. 2011

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Abstract. The nonlinear behaviour of the Kelvin-Helmholtz instability is investigated with a two-fluid simulation code in both sub-magnetosonic and super-magnetosonic regimes in a two-dimensional configuration chosen so as to represent typical conditions observed at the Earth's magnetopause flanks. It is shown that in super-magnetosonic regimes the plasma density inside the vortices produced by the development of the Kelvin-Helmholtz instability is approximately uniform, making the plasma inside the vortices effectively stable against the onset of secondary instabilities. However, the relative motion of the vortices relative to the plasma flow can cause the formation of shock structures. It is shown that in the region where the shocks are attached to the vortex boundaries the plasma conditions change rapidly and develop large gradients that allow for the onset of secondary instabilities not observed in sub-magnetosonic regimes.

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A hybrid-Vlasov model based on the current advance method for the simulation of collisionless magnetized plasma

Cited by 188 publications

References 23 publications

Solar wind interaction with the Earth's magnetosphere: the role of reconnection in the presence of a large scale sheared flow

Solar wind interaction with the Earth's magnetosphere: the role of reconnection in the presence of a large scale sheared flow

Response to “Comment on ‘Undamped electrostatic plasma waves’” [Phys. Plasmas 20, 034701 (2013)]

Kelvin-Helmholtz vortices and secondary instabilities in super-magnetosonic regimes

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