Deterministic chaos in the dynamics of charged particles near a magnetic field reversal

Büchner, Jörg; Zeleny, L. M.

doi:10.1016/0375-9601(86)90268-9

Cited by 186 publications

(86 citation statements)

References 11 publications

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“…Since under normal magnetospheric topology both the curvature radius of the magnetic field line and the equatorial magnetic field strength increase toward the Earth, the field line curvature scattering will lead to a normal-type dispersion feature: the isotropic boundary extends toward lower L value for higher-energy ions (Liang et al, 2014). Therefore, in the plasma sheet, field line curvature scattering mechanism should be responsible for our observed normal-type dispersion feature of precipitating ions (the isotropic boundary ex-tends to lower L value for higher-energy ions) (Sergeev et al, 1983;Buchner and Zelenyi, 1986;Ashour-Abdalla et al, 1990, Liang et al, 2013. To be noted, during the interval denoted by two black vertical solid lines in Fig.…”

Section: Discussionmentioning

confidence: 90%

“…As a result, the low-altitude NOAA spacecraft crossing the auroral zone from high to low latitudes firstly detects an isotropic proton flux distribution and subsequently detects a drop of the proton flux within the loss cone and still a strong flux of trapped particles at lower latitudes (the anisotropic zones) (Yahnin et al, 2006;Yuan et al, 2011Yuan et al, , 2012bYuan et al, , 2013. In the isotropic zones, the curved field line geometry in the magnetotail has been considered as a key mechanism causing the protons in the central plasma sheet (CPS) to be pitch angle scattered into the loss cone and subsequently precipitate in the ionosphere (e.g., Sergeev et al, 1983;Buchner and Zelenyi, 1986;Ashour-Abdalla et al, 1990;Liang et al, 2013). In the anisotropic zones, the NOAA spacecraft can observe enhancement of the precipitating ion flux at subauroral latitudes, which is a result of precipitating RC ions scattered into the loss cone by EMIC waves (Yahnin et al, 2002(Yahnin et al, , 2006Jordanova, et al, 2007;Yuan et al, 2012b).…”

Section: Y Xiong Et Al: Energetic Ions Into the Loss Conementioning

confidence: 99%

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Energetic ions scattered into the loss cone with observations of the Cluster satellite

2016

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Abstract. In this paper, we report in situ observations by the Cluster spacecraft of energetic ions scattered into the loss cone during the inbound pass from the plasma sheet into the plasmasphere. During the inbound pass of the plasma sheet, Cluster observed the isotropy ratio of energetic ions to gradually decrease from unity and the isotropic boundary extended to lower L value for higher-energy ions, implying that the field line curvature scattering mechanism is responsible for the scattered ions into the loss cone from the plasma sheet. In the outer boundary of a plasmasphere plume, Cluster 3 observed the increase of the isotropy ratio of energetic ions accompanied by enhancements of Pc2 waves with frequencies between the He + ion gyrofrequency and O + ion gyrofrequency estimated in the equatorial plane. Those Pc2 waves were left-hand circularly polarized and identified as electromagnetic ion cyclotron (EMIC) waves. Using the observed parameters, the calculations of the pitch angle diffusion coefficients for ring current protons demonstrate that EMIC waves could be responsible for the ions scattering and loss-cone filling. Our observations provide in situ evidence of energetic ion loss in the plasma sheet and the plasmasphere plume. Our results suggest that energetic ions scattering into the loss cone in the central plasma sheet and the outer boundary of the plasmaspheric plume are attributed to the field line curvature scattering mechanism and EMIC wave scattering mechanism, respectively.

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Section: Discussionmentioning

confidence: 90%

Section: Y Xiong Et Al: Energetic Ions Into the Loss Conementioning

confidence: 99%

Energetic ions scattered into the loss cone with observations of the Cluster satellite

2016

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“…Examples of z = 0 surfaces of section for b y = 0 can be found in Chen and Palmadesso (1986) and in Buchner and Zelenyi (1986). Their evolution as a function of b y is shown in Buchner and Zelenyi (1991) and in Chapman and Rowlands (1998), where regions of global chaos are apparent for certain values of b y .…”

Section: The Basic Equationsmentioning

confidence: 98%

The stability of charged-particle motion in sheared magnetic reversals

2001

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Abstract. We consider the motion of charged particles in a static magnetic reversal with a shear component, which has application for the stability of current sheets, such as in the Earth's geotail and in solar flares. We examine how the topology of the phase space changes as a function of the shear component b y . At zero b y , the phase space may be characterized by regions of stochastic and regular orbits (KAM surfaces). Numerically, we find that as we vary b y , the position of the periodic orbit at the centre of the KAM surfaces changes. We use multiple-timescale perturbation theory to predict this variation analytically. We also find that for some values of b y , all the KAM surfaces are destroyed owing to a resonance effect between two timescales, making the phase space globally chaotic. By investigating the stability of the solutions in the vicinity of the fixed point, we are able to predict for what values of b y this happens and when the KAM surfaces reappear.

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“…Grey colour indicates the area, which is equal to 2πI z . (Büchner and Zelenyi, 1986;Büchner and Zelenyi, 1989). Conservation of this invariant is provided by the separation of timescales of evolution of z and κx.…”

Section: General Equationsmentioning

confidence: 99%

“…Another class contains systems where a spatial scale of the magnetic field inhomogeneity is much smaller than a particle's Larmor radius. In this case the so-called theory of the quasi-adiabatic motion is used (Büchner and Zelenyi, 1986;Büchner and Zelenyi, 1989;Chen, 1992;Vainchtein et al, 2005;Zelenyi et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Ion motion in the current sheet with sheared magnetic field – Part 2: Non-adiabatic effects

Artemyev

Neishtadt

Zelenyǐ

2013

Nonlin. Processes Geophys.

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Abstract. We investigate dynamics of charged particles in current sheets with the sheared magnetic field. In our previous paper (Artemyev et al., 2013) we studied the particle motion in such magnetic field configurations on the basis of the quasi-adiabatic theory and conservation of the quasiadiabatic invariant. In this paper we concentrate on violation of the adiabaticity due to jumps of this invariant and the corresponding effects of stochastization of a particle motion. We compare effects of geometrical and dynamical jumps, which occur due to the presence of the separatrix in the phase plane of charged particle motion. We show that due to the presence of the magnetic field shear, the average value of dynamical jumps is not equal to zero. This effect results in the decrease of the time interval necessary for stochastization of trapped particle motion. We investigate also the effect of the magnetic field shear on transient trajectories, which cross the current sheet boundaries. Presence of the magnetic field shear leads to the asymmetry of reflection and transition of particles in the current sheet. We discuss the possible influence of single-particle effects revealed in this paper on the current sheet structure and dynamics.

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Deterministic chaos in the dynamics of charged particles near a magnetic field reversal

Cited by 186 publications

References 11 publications

Energetic ions scattered into the loss cone with observations of the Cluster satellite

Energetic ions scattered into the loss cone with observations of the Cluster satellite

The stability of charged-particle motion in sheared magnetic reversals

Ion motion in the current sheet with sheared magnetic field – Part 2: Non-adiabatic effects

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