Equivalent Electric Circuit Models of Coronal Magnetic Loops and Related Oscillatory Phenomena on the Sun

Khodachenko, M. L.; Зайцев, В. В.; Kislyakov, A. G.; Stepanov, A. V.

doi:10.1007/s11214-009-9538-1

Cited by 40 publications

(38 citation statements)

References 67 publications

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“…Another possible interpretation of quasi-periodic pulsations in solar flares, in terms of the oscillations in an equivalent LCR-circuit (e.g. Khodachenko et al 2009, and references therein), links the pulsations with the alternating electric current in a flaring loop. The alternating fieldaligned current can be described in terms of torsional waves.…”

Section: Introductionmentioning

confidence: 99%

Long-wavelength torsional modes of solar coronal plasma structures

Farahani¹,

Nakariakov²,

Doorsselaere³

2010

A&A

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Aims. We consider the effects of the magnetic twist and plasma rotation on the propagation of torsional m = 0 perturbations of cylindrical plasma structures (straight magnetic flux tubes) in the case when the wavelength is much longer than the cylinder diameter. Methods. The second order thin flux tube approximation is used to derive dispersion relations and phase relations in linear longwavelength axisymmetric magnetohydrodynamic waves in uniformly twisted and rotating plasma structures. Results. Asymptotic dispersion relations linking phase speeds with the plasma parameters are derived. When twist and rotation are both present, the phase speed of torsional waves depends upon the direction of the wave propagation, and also the waves are compressible. The phase relations show that in a torsional wave the density and azimuthal magnetic field perturbations are in phase with the axial magnetic field perturbations and anti-phase with tube cross-section perturbations. In a zero-β non-rotating plasma cylinder confined by the equilibrium twist, the density perturbation is found to be about 66 percent of the amplitude of the twist perturbation in torsional waves.

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Section: Introductionmentioning

confidence: 99%

Long-wavelength torsional modes of solar coronal plasma structures

Farahani¹,

Nakariakov²,

Doorsselaere³

2010

A&A

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“…In several cases, long-periodic modulations of solar mmradiation (with multi-track spectra and certain modulation Article published by EDP Sciences A105, page 1 of 4 frequency drift) have been interpreted as signatures of oscillating electric currents, running within the circuits of inductively connected coronal magnetic loops moving relative to each other (Khodachenko et al 2009). The dynamics of these electric currents has been described by the equivalent electric circuit (LCR-circuit) models of the coronal loops (Zaitsev et al 1998;Khodachenko et al 2009).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The dynamics of these electric currents has been described by the equivalent electric circuit (LCR-circuit) models of the coronal loops (Zaitsev et al 1998;Khodachenko et al 2009). Khodachenko et al (2009) pointed that the frequency of long-periodic LCR-oscillations of the electric current, which depends on specific parameters of a coronal loop, usually remains within the interval ν LCR ≈ (0.03−1) Hz. At the same time, modulations caused by the oscillatory motions of loops that contain the radiation sources, because of their direct connection with the large-scale dynamics of loops, have to have typical frequencies of <0.01 Hz and exhibit no drift.…”

Section: Introductionmentioning

confidence: 99%

“…At the same time, modulations caused by the oscillatory motions of loops that contain the radiation sources, because of their direct connection with the large-scale dynamics of loops, have to have typical frequencies of <0.01 Hz and exhibit no drift. Thus, it has been proposed in Khodachenko et al (2009) Zaitsev et al (1998Zaitsev et al ( , 2003 and Khodachenko et al (2005Khodachenko et al ( , 2009). Therefore, they are not considered here.…”

Section: Introductionmentioning

confidence: 99%

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Possible manifestation of large-scale transverse oscillations of coronal loops in solar microwave emission

Khodachenko

Kislyakova

Zaqarashvili

et al. 2010

A&A

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Aims. We interpret long-periodic (minutes) modulations detected in solar microwave emission during flaring events as signatures of large-scale transverse oscillations of coronal loops. Methods. Our data analysis method is based methodologically on a sliding-window Fourier transform combined with the VignerWille technique. We analyze three different events where TRACE detected post-flare oscillating loops (on Mar. 23, 2000; Sep. 15, 2001; Sep. 07, 2001) Results. For the transverse large-scale oscillatory motion of a loop, a properly located observer, in addition to the modulation caused by the emission diagram pattern motion at the main frequency of the loop oscillation, may detect a modulation at twice the frequency, produced by the varying magnetic field during each inclination of the loop. Our main result consists in identification of these "modulation pairs" in the dynamic spectra of solar microwave emission and their association with the observed oscillating coronal loops.

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A self‐consistent mechanism for electron cyclotron maser emission and its application to type III solar radio bursts

Chen

Zhao

et al. 2017

JGR Space Physics

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Type III solar radio bursts (SRBs) produced by fast electron beams (FEBs) traveling along solar magnetic fields are the best known and the most important kind of SRBs because of their clearest association with FEBs as well as most frequent observations during solar activities. However, the physics of their emitting mechanism has been a controversial issue. Based on the electron cyclotron maser (ECM) instability driven directly by a magnetized FEB, whose physics is fairly well known from the Earth's auroral kilometric radiation, this paper proposes a self‐consistent mechanism for type III SRBs, in which the Alfvén wave (AW) produced by the current instability of the beam‐return current system associated with the FEB, called the self‐generated AW, plays an important and crucial role. Taking into account the return‐current effect of the FEB, the growth rate and the saturation intensity of the self‐generated AW are estimated. Then the effects of the self‐generated AW on the ECM emission via the ECM instability driven by the magnetized FEB are further investigated. The results show that the self‐generated AW can significantly influence and change the physical properties of the ECM emission. In particular, this novel ECM emission mechanism can effectively overcome the main difficulties of the conventional ECM emission mechanism in application to type III SRBs and may potentially provide a self‐consistent physics scenario for type III SRBs.

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Equivalent Electric Circuit Models of Coronal Magnetic Loops and Related Oscillatory Phenomena on the Sun

Cited by 40 publications

References 67 publications

Long-wavelength torsional modes of solar coronal plasma structures

Long-wavelength torsional modes of solar coronal plasma structures

Possible manifestation of large-scale transverse oscillations of coronal loops in solar microwave emission

A self‐consistent mechanism for electron cyclotron maser emission and its application to type III solar radio bursts

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