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Abstract:

In a previous paper, we have modeled the coupling between corona and chromosphere and derived a non-linear set of equations, where the global stability properties of the coronal plasma can be studied. The linear stability analysis indicates that the static equilibrium is stable unless the heating rate falls below a certain critical value. In the present paper, we study the nonlinear evolution of our equations both analytically and numerically. Applying a perturbative technique around the critical point, we find that a subcritical Hopf bifurcation takes place. The numerical integration of the equations agrees satisfactorily with the analytical results when they are compared close to the bifurcation. The nonthermal Doppler widths of EUV lines forming in the transition region can be explained by the existence of relatively low amplitude limit cycles.

Registro:

Documento: Artículo
Título:Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
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: chromosphere; Sun: corona
Año:1990
Volumen:352
Número:1
Página de inicio:326
Página de fin:332
DOI: http://dx.doi.org/10.1086/168539
Título revista:Astrophysical Journal
Título revista abreviado:Astrophys. J.
ISSN:0004637X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0004637X_v352_n1_p326_Gomez.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v352_n1_p326_Gomez

Referencias:

  • Antiochos, S.K., (1979) Ap. J. (Letters), 232, pp. L125
  • Antiochos, S.K., Shoub, E.C., An, C.H., Emslie, A.G., (1985) Ap. J., 298, p. 876
  • Cheng, C., Doschek, G.A., Feldman, U., (1976) Ap. J., 210, p. 836
  • Chiuderi, C., Einaudi, G., Torricelli-Ciamponi, G., (1981) Astr. Ap., 97, p. 27
  • Craig, I.J.D., McClymont, A.N., (1981) Nature, 294, p. 333
  • (1986) Ap. J., 307, p. 367
  • (1987) Ap. J., 318, p. 421
  • Craig, I.J.D., McClymont, A.N., Underwood, J.H., (1978) Astr. Ap., 70, p. 1
  • Craig, I.J.D., Schulkes, R.M.S.M., (1985) Ap. J., 296, p. 710
  • Doschek, G.A., (1986) Energetic Phenomena on the Sun, , ed. M. Kundu and B. Woodgate (NASA Conf. Pub. 2439), Chap. 4
  • Feldman, U., Doschek, G.A., (1977) Ap. J. (Letters), 216, pp. L119
  • Gómez, D., Sicardi Schifino, A., Ferro Fontán, C., (1990) Ap. J., 352, p. 318. , Paper I
  • Haken, H., (1983) Advanced Synergetics, , Berlin: Springer-Verlag
  • Hassard, B.D., Kazarinoff, N.D., Wan, W.H., (1981) Theory and Applications of Hopf Bifurcation, , Cambridge: Cambridge University Press
  • Hood, A.W., Priest, E.R., (1980) Astr. Ap., 87, p. 126
  • Iooss, G., Joseph, D.D., (1980) Elementary Stability and Bifurcation Theory, , Berlin: Springer-Verlag
  • Kuin, N.P.M., Martens, P.C.H., (1982) Astr. Ap., 108, pp. L1
  • Martens, P.C.H., (1984) Phys. Rept., 115, p. 315
  • McClymont, A.N., Craig, I.J.D., (1985) Ap. J., 289, p. 820
  • (1985) Ap. J., 289, p. 843
  • Meunier, C., Verga, A., (1988) J. Stat. Phys., 50, p. 345
  • Pakkert, J.W., Martens, P.C.H., Verhulst, F., (1987) Astr. Ap., 179, p. 285
  • Peres, G., Rosner, R., Serio, S., Vaiana, G.S., (1982) Ap. J., 252, p. 791
  • Rosner, R., Tucker, W.H., Vaiana, G.S., (1978) Ap. J., 220, p. 643
  • Spitzer, L., (1962) Physics of Fully Ionized Gases, , New York : Interscience
  • Vesecky, J.F., Antiochos, S.K., Underwood, J.H., (1979) Ap. J., 233, p. 987

Citas:

---------- APA ----------
Gómez, D., Sicardi Schifino, A. & Ferro Fontán, C. (1990) . Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities. Astrophysical Journal, 352(1), 326-332.
http://dx.doi.org/10.1086/168539
---------- CHICAGO ----------
Gómez, D., Sicardi Schifino, A., Ferro Fontán, C. "Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities" . Astrophysical Journal 352, no. 1 (1990) : 326-332.
http://dx.doi.org/10.1086/168539
---------- MLA ----------
Gómez, D., Sicardi Schifino, A., Ferro Fontán, C. "Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities" . Astrophysical Journal, vol. 352, no. 1, 1990, pp. 326-332.
http://dx.doi.org/10.1086/168539
---------- VANCOUVER ----------
Gómez, D., Sicardi Schifino, A., Ferro Fontán, C. Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities. Astrophys. J. 1990;352(1):326-332.
http://dx.doi.org/10.1086/168539