Modeling the pitch angle distribution on the nightside of the Earth’s magnetosphere

Smolin, S. V.

doi:10.1134/s0016793215020152

Cited by 5 publications

(3 citation statements)

References 42 publications

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“…The following non-stationary differential equation is used [2,3] for phase space density, which describes the pitch angle diffusion and losses due to wave-particle interactions in the Earth's magnetosphere for a range of pitch angles from 0 • up to 180 • :…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Second, the physical mechanism of injection and particle drift is taken into account through the radial drift velocity dL/dt in equation (1). Third, since the electric field potential depends on the geomagnetic activity index Kp [2,3], we take into account the splitting effect of drift shells of the electric field on the pitch angle distribution of charged particles.…”

Section: The Mathematical Modelmentioning

confidence: 99%

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Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period

Smolin

2021

Journal of Siberian Federal University. Mathematics &Amp; Physics

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Modeling of pitch angle scattering of ring current protons at interaction with electromagnetic ion cyclotron waves during a nonstorm period was considered very seldom. Therefore it is used correlated observation of enhanced electromagnetic ion cyclotron (EMIC) waves and dynamic evolution of ring current proton flux collected by Cluster satellite near the location L = 4.5 during March 26–27, 2003, a nonstorm period (Dst > –10 nT). Energetic (5–30 keV) proton fluxes are found to drop rapidly (e.g., a half hour) at lower pitch angles, corresponding to intensified EMIC wave activities. As mathematical model is used the non-stationary one-dimensional pitch angle diffusion equation which allows to compute numerically density of phase space or pitch angle distribution of the charged particles in the Earth’s magnetosphere. The model depends on time t, a local pitch angle and several parameters (the mass of a particle, the energy, the McIlwain parameter, the magnetic local time or geomagnetic eastern longitude, the geomagnetic activity index, parameter of the charged particle pitch angle distribution taken for the 90 degrees pitch angle at t = 0, the lifetime due to wave–particle interactions). This model allows numerically to estimate also for different geophysical conditions a lifetime due to wave–particle interactions. It is shown, that EMIC waves can yield decrements in proton flux within 30 minutes, consistent with the observational data. The good consent is received. Comparison of results on full model for the pitch angle range from 0 up to 180 degrees and on the model for the 90 degrees pitch angle is lead. For a perpendicular differential flux of the Earth’s ring current protons very good consent with the maximal relative error approximately 3.23 % is received

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Section: The Mathematical Modelmentioning

confidence: 99%

Section: The Mathematical Modelmentioning

confidence: 99%

Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period

Smolin

2021

Journal of Siberian Federal University. Mathematics &Amp; Physics

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“…The literature on charged particle pitch angle distributions and an anisotropy of the pitch angle distributions is enough extensive. For example, modeling the pitch angle distribution on the dayside of the Earth's magnetosphere was considered in [1], and on the nightside of the magnetosphere -in [2]. In work [3] it has been offered two-dimensional Phenomenological Model of Ring Current dynamics in the Earth's magnetosphere (PheMRC 2-D).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Anisotropy Dynamics of the Proton Pitch Angle Distribution in the Earth’s Magnetosphere

Smolin¹

2021

J. Sib. Fed. Univ., Math. phys.

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Last years the attention to research of anisotropy of the charged particle pitch angle distribution has considerably increased. Therefore for research of anisotropy dynamics of the proton pitch angle distribution is used the two-dimensional Phenomenological Model of the Ring Current (PheMRC 2-D), which includes the radial and pitch angle diffusions with consideration of losses due to wave-particle interactions. Experimental data are collected on the Polar/MICS satellite during the magnetic storm on October 21–22, 1999. Solving the non-stationary two-dimensional equation of pitch angle and radial diffusions, numerically was determined the proton pitch angle distribution anisotropy index (or parameter of the proton pitch angle distribution) for the pitch angle of 90 degrees during the magnetic storm, when the geomagnetic activity Kp-index changed from 2 in the beginning of a storm up to 7+ in the end of a storm. Dependence of the perpendicular proton pitch angle distribution anisotropy index with energy E = 90 keV during the different moments of time from the McIlwain parameter L (2.26 < L < 6.6) is received. It is certain at a quantitative level for the magnetic storm on October 21–22, 1999, when and where on the nightside of the Earth’s magnetosphere (MLT = 2300) to increase in the geomagnetic activity Kp-index there is a transition from normal (pancake) proton pitch angle distributions to butterfly proton pitch angle distributions. That has allowed to determine unequivocally and precisely the anisotropy dynamics of the proton pitch angle distribution in the given concrete case. It is shown, that with increase of the geomagnetic activity Kp-index the boundary of isotropic proton pitch angle distribution comes nearer to the Earth, reaching L ≈ 3.6 at Kp = 7+

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Two-Dimensional Phenomenological Model of Ring Current Dynamics in the Earth’s Magnetosphere

Smolin

2019

Geomagn. Aeron.

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Modeling the pitch angle distribution on the nightside of the Earth’s magnetosphere

Cited by 5 publications

References 42 publications

Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period

Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period

Modeling of Anisotropy Dynamics of the Proton Pitch Angle Distribution in the Earth’s Magnetosphere

Two-Dimensional Phenomenological Model of Ring Current Dynamics in the Earth’s Magnetosphere

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