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An analytically derived distribution function of reflected and accelerated electrons at a nearly perpendicular shock is presented. Then this distribution in a simplified form is introduced into a 1.5-D relativistic electromagnetic particle-in-cell (PIC) model and a generation of waves is studied. Numerical modeling shows not only a generation of Langmuir and high-frequency electromagnetic waves as expected, but also an efficient generation of whistler waves. Their role in emission processes of type II solar radio bursts is discussed. 相似文献
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To model and study local magnetic-field enhancements in a solar flux rope we consider the magnetic field in its interior as
a superposition of two linear (constant α) force-free magnetic-field distributions, viz. a global one, which is locally similar to a part of the cylinder, and a local torus-shaped magnetic distribution. The newly
derived solution for a toroid with an aspect ratio close to unity is applied. The symmetry axis of the toroid and that of
the cylinder may or may not coincide. Both the large and small radii of the toroid are set equal to the cylinder’s radius.
The total magnetic field distribution yields a flux tube which has a variable diameter with local minima and maxima. In principle,
this approach can be used for the interpretation and analysis of solar-limb observations of coronal loops. 相似文献
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Axially symmetric constant-alpha force-free magnetic fields in toroidal flux ropes with elliptical cross sections are constructed in order to investigate how their alphas and magnetic helicities depend on parameters of the flux ropes. Magnetic configurations are found numerically using a general solution of a constant-alpha force-free field with an axial symmetry in cylindrical coordinates for a wide range of oblatenesses and aspect ratios. Resulting alphas and magnetic helicities are approximated by polynomial expansions in parameters related to oblateness and aspect ratio. These approximations hold for toroidal as well as cylindrical flux ropes with an accuracy better than or of about 1%. Using these formulae, we calculate relative helicities per unit length of two (probably very oblate) magnetic clouds and show that they are very sensitive to the assumed magnetic cloud shapes (circular versus elliptical cross sections). 相似文献
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To model irregularities in the magnetic structure of solar flux ropes or in interplanetary magnetic clouds, we propose the following approach. A local irregularity in the form of a compact toroid is added into a cylindrical linear force-free magnetic structure. The radius of the cylinder and the small radius of the toroid are the same, since the force-free parameter α is constant, that is, we have in total a linear force-free configuration, too. Meanwhile, the large radius of the toroid can be smaller. The effect of such modeling depends on the aspect ratio of the compact toroid, its location and orientation, and on its magnetic field magnitude in comparison with that of the cylinder. 相似文献
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Magnetic clouds (MCs) observed by Wind during the 1995-2003 years and listed in Lepping et al. [2006. A summary of WIND magnetic clouds for years 1995-2003: model-fitted parameters, associated errors and classifications. Ann. Geophys. 24(1), 215-245] are fitted using force-free cylindrical flux rope models. The cloud parameters yielded by a static model are compared with those obtained from a modified model that includes magnetic cloud expansion. The deviations of these fits from observations are quantified using 1 h averages of measured parameters by Wind. In the case of the static MC model, the deviations between fitted and observed magnetic fields increase with the magnetic strength and with the MC radius. The comparison of both the static and the dynamic models reveals that the modified model with expansion provides better fits in the range of low expansion speeds , whereas the results are not conclusive for larger expansion speeds. The dynamic model provides better fits than static one in 70% of investigated MCs. We conclude that the expansion of magnetic clouds plays an important role in the MC formation and propagation but a further progress requires determination of cloud parameters from a model with expansion self-consistently involved. 相似文献
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Volume currents in the magnetosheath region are calculated within the framework of a new analytical model. Magnetic field structure in the region is found, satisfying boundary conditions on the bow shock and the magnetopause, and then volume currents are calculated using the Maxwell equation. Surface bow shock and magnetopause currents are calculated, too. Free parameters of the model are interplanetary magnetic field, Mach number of the solar wind flow, distances to the bow shock and to the magnetopause, and field compression at the magnetopause. 相似文献
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It is commonly believed that solar type II bursts are caused by accelerated electrons at a shock front. Holman and Pesses (1983) suggested that electrons creating type II bursts are accelerated by the shock drift mechanism. Zlobec et al. (1993) dealt with a fine structure of type II bursts (herringbones) and suggested a qualitative model where electrons are accelerated by a nearly perpendicular wavy shock front. Using this idea, we developed a model of electron acceleration by such a wavy shock front. Electrons are accelerated by the drift mechanism in the shock layer. Under simplifying assumptions it is possible to obtain an analytical solution of electron motion in the wavy shock front. The calculations show that electrons are rarely reflected more than once at the wavy shock front and that their final energy is mostly 1–3 times the initial one. Their acceleration does not depend significantly on shock spatial parameters. In the present model all electrons are eventually transmitted downstream where they form two downstream beams. Resulting spectral and angular distributions of accelerated electrons are presented and the relevance of the model to the herringbone beams is discussed. 相似文献
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