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Abstract:

We study the coupling between the hot plasma confined in a coronal loop and the much colder chromospheric plasma at the footpoints. Considering the coronal heating rate as a control parameter, we find that the static equilibrium becomes unstable for heating rates below a critical value, giving rise to the appearance of a stable limit cycle. Starting from the hydrodynamic equations, we derive a model which generalizes the analysis of Kuin and Martens and consistently takes into account the condensation-evaporation process. In this paper, we linearize our equations in order to find the bifurcation point where the stability of the static equilibrium is lost. We also show that this model can provide a natural explanation for the excess widths of EUV spectral lines formed in the transition region. Moreover, we can predict the observed reduction in the broadening of these lines when they form in certain active regions, like quiescent prominences or sunspots.

Registro:

Documento: Artículo
Título:Hopf bifurcations in coronal loops I. Stability conditions for static equilibrium
Autor:Gómez, D.; Sicardi Schifino, A.; Ferro Fontán, C.
Filiación:Inst. Astronomia y Fis. del Espacio, CONICET, Argentina
Facultad de Ciencias Exactas, Universidad de Buenos Aires, Argentina
Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Inst. Astronomia y Fis. del Espacio, C.C. 67 - Suc. 28, (1428) Buenos Aires, Argentina
Palabras clave:Hydromagnetics; Sun: corona
Año:1990
Volumen:352
Número:1
Página de inicio:318
Página de fin:325
DOI: http://dx.doi.org/10.1086/168538
Título revista:Astrophysical Journal
Título revista abreviado:Astrophys. J.
ISSN:0004637X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0004637X_v352_n1_p318_Gomez.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v352_n1_p318_Gomez

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Citas:

---------- APA ----------
Gómez, D., Sicardi Schifino, A. & Ferro Fontán, C. (1990) . Hopf bifurcations in coronal loops I. Stability conditions for static equilibrium. Astrophysical Journal, 352(1), 318-325.
http://dx.doi.org/10.1086/168538
---------- CHICAGO ----------
Gómez, D., Sicardi Schifino, A., Ferro Fontán, C. "Hopf bifurcations in coronal loops I. Stability conditions for static equilibrium" . Astrophysical Journal 352, no. 1 (1990) : 318-325.
http://dx.doi.org/10.1086/168538
---------- MLA ----------
Gómez, D., Sicardi Schifino, A., Ferro Fontán, C. "Hopf bifurcations in coronal loops I. Stability conditions for static equilibrium" . Astrophysical Journal, vol. 352, no. 1, 1990, pp. 318-325.
http://dx.doi.org/10.1086/168538
---------- VANCOUVER ----------
Gómez, D., Sicardi Schifino, A., Ferro Fontán, C. Hopf bifurcations in coronal loops I. Stability conditions for static equilibrium. Astrophys. J. 1990;352(1):318-325.
http://dx.doi.org/10.1086/168538