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  • 1
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 324 (1986), S. 128-129 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Observed flows exhibit several features that must be explained by any convincing theory. First, the flows are observed to persist much longer than the transit time of a gas element through the loop10'11. This fact alone suggests a quasi-steady model in which plasma flows continually from one ...
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  • 2
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 294 (1981), S. 333-334 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The central assumption in theoretical loop modelling is that dynamic effects can be neglected in the local energy balance6. Hence it is postulated that an unknown heating mechanism supports the loop against energy losses by radiation and energy redistribution by heat conduction along the confining ...
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  • 3
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 247 (1974), S. 448-449 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Hard X-ray polarisation measurements have a key role to play in the formulation of flare theories since the degree and plane of polarisation indicate the velocity distribution of the bremsstrahlung source electrons-in particular, whether they stream along the flare field lines or are magnetically ...
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Astrophysics and space science 166 (1990), S. 289-300 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We develop simple accurate methods of calculating ideal MHD instability eigenvalues λ for infinitely-long cylindrical tubes, with twist functionT(r)=B θ/rB z . A complete theoretical treatment is presented for force-free magnetic equilibria with arbitraryT(r), and detailed semi-analytic results for the kink instability are given for the particular case of a power-law twistT(r)=r ν, where the index ν is non-negative. Our results show that the most rapidly growing and energetic instabilities occur in the Gold-Hoyle ν=0 field, with the instability progressively weakening with increasing ν. However, the maximum force eigenvalue is always small, so that even in the Gold-Hoyle case (where λ=O(10−2) in dimensionless units) only a small proportion of the available magnetic energy can be released in the linear phase. Our results also confirm that the linear pinch (ν=∞) is remarkably weak (λ=O(10−3)) yet relatively resistant to line-tying! It is shown that the weakness of the force eigenvalue implies that the influence of uniform gas pressure on stability is negligible. Implications for the energy-release mechanism in solar flares are discussed.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Astrophysics and space science 133 (1987), S. 297-306 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In beam-heated models of solar flares, the bulk of the energy deposited in the flare atmosphere resides in the low-energy end of the electron spectrum. Since the shape of the spectrum at low energy is not well determined observationally, various forms of low-energy cut-off have been assumed in theoretical modelling. Certain results of such modelling may depend strongly on the assumed spectrum. We derive the heating distributions for various spectra, both for collisional energy loss and for Ohmic dissipation of the return current, and show that none of the spectra are fully satisfactory, according to the criteria that for both collisional and Ohmic heating, the heating rate should be bounded, continuous, and smooth, and have a tractable functional form. A simple form of electron spectrum is suggested, which satisfies these criteria.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Solar physics 113 (1982), S. 131-136 
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The high degree of symmetry often assumed in studies of the structure and stability of coronal magnetic field configurations is restrictive and can yield misleading results. We have therefore developed fully three-dimensional numerical methods for constructing force-free equilibria and for examining their stability properties, which make no assumptions about symmetry. A test of the stability analysis has been performed by applying it to the Gold-Hoyle twisted flux tube, which is known to be kink-unstable if the helical field makes more than about one turn between the line-tying end-plates. Our preliminary result is that the critical number of turns is about 1.1, in good agreement with the previous best estimate. However, we find that the growth rate, which has not been discussed previously, is orders of magnitude smaller than expected, even when the flux tube is twisted far beyond the stability limit.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Solar physics 70 (1981), S. 97-113 
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A hydrodynamic model is used to analyse the formation of an active region coronal loop. After an impulse of energy that ‘lifts' part of a cool uniform plasma into the domain of radiative instability (T〉 105 K) the atmosphere is allowed to relax dynamically to a new quasi-steady equilibrium. Although the radiative-hydrodynamic coupling leads to quite complex physical phenomena, the final state of the plasma shows excellent agreement with previous quasi-static loop calculation. The bearing of this analysis on the evolution of flare plasmas is then discussed. In particular, it is shown that the energy flux emanating from an excited coronal source leads to the ‘dynamic evaporation’ of cool transition-zone and chromospheric material. The analysis indicates, however, that an accurate description of the transition zone in solar flares requires considerably more sophistication than has hitherto been employed. Finally, a discussion is given of the uniqueness and stability of the quasi-static loop. It is concluded that, despite thermal instability, a quasi-static model should adequately describe the gross features of quiescent coronal loops.
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  • 8
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An overview of the whole process of reconstructing the coronal magnetic field from boundary data measured at the photosphere is presented. We discuss the errors and uncertainties in the data and in the data reduction process. The problems include noise in the magnetograph measurements, uncertainties in the interpretation of polarization signals, the 180° ambiguity in the transverse field, and the fact that the photosphere is not force-free. Methods for computing the three-dimensional structure of coronal active region magnetic fields, under the force-free assumption, from these boundary data, are then discussed. The methods fall into three classes: the ‘extrapolation’ technique, which seeks to integrate upwards from the photosphere using only local values at the boundary; the ‘current-field iteration’ technique, which propagates currents measured at the boundary along field lines, then iteratively recomputes the magnetic field due to this current distribution; and the ‘evolutionary’ technique, which simulates the evolution of the coronal field, under quasi-physical resistive magnetohydrodynamic equations, as currents injected at the boundary are driven towards the observed values. The extrapolation method is mathematically ill-posed, and must be heavily smoothed to avoid exponential divergence. It may be useful for tracing low-lying field lines, but appears incapable of reconstructing the magnetic field higher in the corona. The original formulation of the current-field iteration method had problems achieving convergence, but a recent reformulation appears promising. Evolutionary methods have been applied to several real datasets, with apparent success.
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  • 9
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is well recognized that the phenomenon of depolarization (the conversion of polarized radio emission into unpolarized emission) of microwaves over solar active regions can be used to infer the coronal electron density once the coronal magnetic field is known. In this paper we explore this technique using an active region for which we have excellent radio data showing depolarization at two frequencies, and for which we have an excellent magnetic field model which has been tested against observations. We show that this technique for obtaining coronal densities is very sensitive to a number of factors. When Cohen's (1960) theory where depolarization is due to magnetic field rotation alone is used, the result is particularly sensitive to the location of the surface on which the magnetic field is orthogonal to the line of sight. Depending on whether we take into account the presence of electric currents in the photosphere or not, their extrapolation into the corona can result in very different heights being deduced for the location of the depolarization strip, and this changes the density which is then deduced from the depolarization condition. Such extreme sensitivity to the magnetic field model requires that field extrapolations be able to accurately predict the polarity of magnetic fields up to coronal heights as high as ∼ 105 km in order to exploit depolarization as a density diagnostic.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Solar physics 49 (1976), S. 329-342 
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The work of Brown and Hoyng (1975) on the betatron acceleration of hard X-ray source electrons trapped in a vibrating flux tube is generalised to include Fermi acceleration by the varying transverse field. This development can explain the trajectory of bursts in a plot of equivalent thick-target electron flux $$\mathfrak{F}$$ versus spectral index γ as inferred from observations obtained by ESRO TD1A. Specifically the loops observed in this $$\mathfrak{F}$$ , λ diagram, unexplained in Brown and Hoyng's anslysis are accounted for by a changing phase relationship between the varying field strength f(t) and magnetic scale length g(t)- Application of the formalism to the detailed TD1A observations of the large events of 1972, August 4 and 7, allows inference of the evolution of f(t), g(t) in these events.
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