Numerical simulations of plasma equilibrium in a one-dimensional current sheet with a nonzero normal magnetic field component

Мингалев, О. В.; Мингалев, И. В.; Malova, H. V.; Zelenyǐ, L. M.

doi:10.1134/s1063780x07110062

Cited by 33 publications

(26 citation statements)

References 16 publications

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“…The results of these studies are consistent in many respects with numerical simulation results [33,34] and earlier esti mates [35]. At present, the TCS theory is presented by two groups of analytical models ( [3,36] and [37,38]) and a number of numerical models of the TCS struc ture and formation mechanisms [39][40][41][42].…”

Section: Introductionsupporting

confidence: 71%

Drift modes of a quasi-two-dimensional current sheet

et al. 2012

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Stability of a plasma configuration consisting of a thin one dimensional current sheet embedded into a two dimensional background current sheet is studied. Drift modes developing in plasma as unstable waves along the current direction are considered. Dispersion relations for kink and sausage perturbation modes are obtained depending on the ratio of parameters of thin and background current sheets. It is shown that the existence of the background sheet results in a decrease in the instability growth rates and a significant increase in the perturbation wavelengths. The role of drift modes in the excitation of oscillations observed in the current sheet of the Earth's magnetotail is discussed.

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Section: Introductionsupporting

confidence: 71%

Drift modes of a quasi-two-dimensional current sheet

et al. 2012

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“…This latter mechanism relies on asymmetric particle scattering at TCS in the presence of a global sheared magnetic component. In this study, we generalize two complementary models of anisotropic TCSs: (1) an analytical model based on a solution of Vlasov‐Maxwell equations [e.g., Zelenyi et al , 2004], and (2) a particle‐in‐cell (PIC) numerical model [ Mingalev et al , 2007, 2009].…”

Section: Introductionmentioning

confidence: 99%

Thin current sheets in the presence of a guiding magnetic field in Earth's magnetosphere

Malova¹,

Popov²,

Мингалев³

et al. 2012

J. Geophys. Res.

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[1] A self-consistent theory of relatively thin anisotropic current sheets (TCS) in collisionless plasma is developed, taking into account the presence of a guiding field B y (all notations are used in the GSM coordinate system). TCS configurations with a finite value of guiding field B y are often observed in Earth's magnetotail and are typical for Earth's magnetopause. A characteristic signature of such configurations is the existence of a magnetic field component along the direction of TCS current. A general case is considered in this paper with global sheared magnetic field B y = const. Analytical and numerical (particle-in-cell) models for such plasma equilibria are analyzed and compared with each other as well as with Cluster observations. It is shown that, in contrast to the case with B y = 0, the character of "particle-current sheet" interaction is drastically changed in the case of a global magnetic shear. Specifically, serpentine-like parts of ion trajectories in the neutral plane become more tortuous, leading to a thicker current sheet. The reflection coefficient of particles coming from northern and southern sources also becomes asymmetric and depends upon the value of the B y component. As a result, the degree of asymmetry of magnetic field, plasma, and current density profiles appears characteristic of current sheets with a constant B y . In addition, in the presence of nonzero guiding field, the curvature current of electrons in the center of the current sheet decreases, yielding an effective thickening of the sheet. Implications of these results for current sheets in Earth's magnetosphere are discussed.

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“…The input parameters for the modeling runs are as follows: (1) magnetic field variation through the TCS Δ B x =40 nT, and B z =1 nT, similar to the values in the magnetotail [ Mingalev et al , ]; (2) the proton temperature T 0 =4 keV with the related V T ≈620 km/s and ρ T ∼320 km; The half‐width of the simulation box is taken to be 6400 km, which is several times larger than ρ T and the expected size of the TCS. The applied mesh size is h = 6400/640 = 10 km, which is higher than the Debye radius in the system of about 1 km, ensuring, therefore, the condition of quasi‐neutrality.…”

Section: Numerical Simulationmentioning

confidence: 99%

The influence of kinetic effect on the MHD scalings of a thin current sheet

et al. 2017

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Assuming that magnetic moment μ is conserved on periodic segments of charged‐particle trajectories, it has been shown analytically that the half‐thickness of a stable thin current sheet (TCS) is practically independent on VT/Vbulk, where VT and Vbulk are thermal and bulk velocities of the TCS‐forming particles, respectively. This fact has been confirmed by the PIC modeling of the TCS without any special assumptions on the particle trajectory type. Such coincidence of analytical and numeric results indicates that an equilibrium TCS indeed is formed by counterstreaming proton flows with μ= constant. The weak dependence of the TCS half‐thickness on VT/Vbulk also results in a reverse relation between the background plasma number density n0 and Vbulk, so that the increase of Vbulk results in a decrease of n0.

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Numerical simulations of plasma equilibrium in a one-dimensional current sheet with a nonzero normal magnetic field component

Cited by 33 publications

References 16 publications

Drift modes of a quasi-two-dimensional current sheet

Drift modes of a quasi-two-dimensional current sheet

Thin current sheets in the presence of a guiding magnetic field in Earth's magnetosphere

The influence of kinetic effect on the MHD scalings of a thin current sheet

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