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Latent Heating of Coronal Loops

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Abstract

The theory of weakly nonlinear slow magnetosonic waves in thin flux tubes is developed. A Korteweg–de Vries equation is derived for slow body waves. The analysis of solitary and periodic solutions shows that the nonlinear waves produce running narrowings of the tube. The similarity of the shallow-water theory and the thin-flux-tube approximation helps to outline the peaking and breaking of the nonlinear slow body waves. It appears that the running narrowing of the tube works as the de Laval nozzle in generating a cool supersonic jet and a subsequent shock that heats the plasma. The presented theory of nonlinear slow body waves suggests a mechanism of coronal loop heating, which meets many of the observational constraints.

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References

  • Courant, R. and Friedrichs, K. O.: 1948, Supersonic Flow and Shock Waves, Interscience Publishers Ltd, London.

    Google Scholar 

  • Defouw, R. J.: 1976, Astrophys. J. 209, 266.

    Article  Google Scholar 

  • Herbold, G., Ulmschneider, P., Spruit, H. C., and Rosner, R.: 1985, Astron. Astrophys. 145, 157.

    Google Scholar 

  • Korteweg, D. J. and de Vries, G.: 1895, Phil. Mag. 39, 422.

    Google Scholar 

  • Nakariakov, V. M., Zhugzhda, Y. D., and Ulmschneider, P.: 1996, Astron. Astrophys. 312, 691.

    Google Scholar 

  • Nakaryakov, V.M. and Fainshtein, S. M.: 1991, Radiophys. Quant. Electr. 34, 180.

    Google Scholar 

  • Narain, U. and Ulmschneider, P.: 1996, Space Sci. Rev. 75, 453.

    Google Scholar 

  • Roberts, B.: 1992, in E. R. Priest and A. W. Hood (eds.), Advances in Solar System Magnetohydrodynamics, Cambridge University Press, Cambridge, p. 105.

    Google Scholar 

  • Roberts, B. and Webb, A. R.: 1978, Solar Phys. 56, 5.

    Google Scholar 

  • Ulmschneider, P., Zähringer, K., and Musielak, Z. E.: 1991, Astron. Astrophys. 241, 625.

    Google Scholar 

  • Whitham, G. B.: 1974, Linear and Nonlinear Waves, Wiley-Interscience Publ., New York.

    Google Scholar 

  • Zhugzhda, Y.: 1995a, Astron. Letters 21(5), 635.

    Google Scholar 

  • Zhugzhda, Y.: 1995b, in V. Domingo and T. Hoeksema (eds), Fourth SOHO Workshop on Helioseismology, ESA SP-376, Vol. 2, p. 515.

  • Zhugzhda, Y.: 1996, Phys.Plasmas 3, 10.

    Article  Google Scholar 

  • Zhugzhda, Y., Bromm, V., and Ulmschneider, P.: 1995, Astron. Astrophys. 300, 302.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Kiepenheuer-Institut für Sonnenphysik, D-79104, Freiburg, Germany

    Y. D. Zhugzhda

  2. Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Troitsk-City, Moscow Region, 142092, Russia

    Y. D. Zhugzhda

  3. School of Mathematical and Computational Sciences, University of St Andrews, St Andrews, Fife, KY16 9SS, Scotland

    V. M. Nakariakov

Authors
  1. Y. D. Zhugzhda
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  2. V. M. Nakariakov
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Zhugzhda, Y.D., Nakariakov, V.M. Latent Heating of Coronal Loops. Solar Physics 175, 107–121 (1997). https://doi.org/10.1023/A:1004909603871

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  • DOI: https://doi.org/10.1023/A:1004909603871

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