2020
DOI: 10.12737/stp-61202006
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Spatial Structure of Azimuthally Small-Scale MHD Waves in One-Dimensionally Inhomogeneous Finite Pressure Plasma With Curved Field Lines

Abstract: We have studied propagation of hydromagnetic (MHD) waves in one-dimensionally inhomogeneous finite pressure plasma with curved field lines. Magnetic surfaces are considered to be concentric cylinders, where the cylinder’s radius models the radial coordinate in Earth’s magnetosphere. The waves are supposed to be azimuthally small-scale. In this approximation there are only two MHD modes — Alfvén and slow magnetosonic (SMS). We have derived an ordinary differential equation for the spatial structure of the wave … Show more

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Cited by 2 publications
(3 citation statements)
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“…First of all, they differ in their azimuthal structure. The FLR process usually involves oscillation harmonics with  1 E m (Leonovich & Mazur, 1989b), while oscillations with  1 E m can be generated in processes caused by the presence of non-equilibrium fluxes of high-energy charged particles (Leonovich & Mazur, 1995;Petrashchuk & Klimushkin, 2020;Rubtsov et al, 2018). Mazur, 1996) their structure and characteristic wavelength in the direction across magnetic shells are then determined by the magnitude of their dissipation.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…First of all, they differ in their azimuthal structure. The FLR process usually involves oscillation harmonics with  1 E m (Leonovich & Mazur, 1989b), while oscillations with  1 E m can be generated in processes caused by the presence of non-equilibrium fluxes of high-energy charged particles (Leonovich & Mazur, 1995;Petrashchuk & Klimushkin, 2020;Rubtsov et al, 2018). Mazur, 1996) their structure and characteristic wavelength in the direction across magnetic shells are then determined by the magnitude of their dissipation.…”
Section: Introductionmentioning
confidence: 99%
“…First of all, they differ in their azimuthal structure. The FLR process usually involves oscillation harmonics with m1 (Leonovich & Mazur, 1989b), while oscillations with m1 can be generated in processes caused by the presence of non‐equilibrium fluxes of high‐energy charged particles (Leonovich & Mazur, 1995; Petrashchuk & Klimushkin, 2020; Rubtsov et al., 2018).…”
Section: Introductionmentioning
confidence: 99%
“…In axisymmetric models of the magnetosphere, these waves correspond to oscillations with large azimuthal wave numbers (m1) (Leonovich & Mazur, 1995; Liu et al., 2013; Rubtsov et al., 2018). These oscillations are as a rule Alfven waves accompanied by high‐energy particle fluxes that are the source of these waves (Petrashchuk & Klimushkin, 2020; Takahashi et al., 1990; Zhou et al., 2016). Such Alfven waves are called “poloidal.” Poloidal Alfven waves are believed to be excited due to various instabilities of high‐energy charged particle fluxes in an inhomogeneous magnetospheric plasma (Dai et al., 2013; Hao et al., 2017; Mann et al., 1999; Zhou et al., 2016; Zong et al., 2017).…”
Section: Introductionmentioning
confidence: 99%