Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-30T22:57:21.007Z Has data issue: false hasContentIssue false

Nonlinear interaction of obliquely propagating Alfvén waves and kinetic Alfvén waves in solar wind plasmas

Published online by Cambridge University Press:  30 July 2013

NITIN YADAV
Affiliation:
Centre for Energy Studies, Indian Institute of Technology, Delhi 110016, India ([email protected])
R. P. SHARMA
Affiliation:
Centre for Energy Studies, Indian Institute of Technology, Delhi 110016, India ([email protected])

Abstract

The nonlinear interaction of kinetic Alfvén waves (KAWs) with other possible plasma modes is considered to be responsible for the observed solar wind turbulent spectrum. In the present paper, a new channel of interaction between a KAW and an obliquely propagating Alfvén wave (AW) has been proposed. The governing dynamical equations are derived and the nonlinear interaction between the two wave modes KAW and AW is studied. The growth rate of modulational instability has been calculated. The nonlinear evolution of KAW filamentation and turbulent spectra has also been discussed. In the inertial range, energy cascade follows nearly Kolmogorov scaling, and after inertial range it follows −2.5 scaling in dispersive range. The obtained results indicate that the proposed mechanism may be responsible for transferring the energy from smaller wavenumbers to larger wavenumbers in the solar wind plasmas. The relevance of the present study with recent Cluster spacecraft observations has also been pointed out.

Type
Papers
Copyright
Copyright © Cambridge University Press 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Alfvén, H. 1942 Nature 150, 405.CrossRefGoogle Scholar
Brodin, G. and Stenflo, L. 1988 J. Plasma Phys. 39, 277.CrossRefGoogle Scholar
Brodin, G. and Stenflo, L. 1989 J. Plasma Phys. 41, 199.CrossRefGoogle Scholar
Bruno, R. and Carbone, V. 2005 Living Rev. Solar Phys. 2, 4.CrossRefGoogle Scholar
Chaston, C. C., Bonnell, J. W., Carlson, C. W., McFadden, J. P., Ergun, R. E. and Strangeway, R. J. 2003 J. Geophys. Res. 108, A48003.Google Scholar
Hasegawa, A. and Chen, L. 1976 Phys. Fluids 19, 1924.CrossRefGoogle Scholar
Hollweg, J. V. 1999 J. Geophys. Res. 104, 14811.CrossRefGoogle Scholar
Horbury, T. S., Forman, M. A. and Oughton, S. 2005 Plasma Phys. Control. Fusion 47, B703B717.CrossRefGoogle Scholar
Howes, G. G., TenBarge, J. M. and Dorland, W. 2011a Phys. Plasmas 18, 102305.CrossRefGoogle Scholar
Howes, G. G., TenBarge, J. M., Dorland, W., Quataert, E., Schekochihin, A. A., Numata, R. and Tatsuno, T. 2011b Phys. Rev. Lett. 107, 035004.CrossRefGoogle Scholar
Laveder, D., Passot, T. and Sulem, P. L. 2002 Phys. Plasmas 9, 293.CrossRefGoogle Scholar
Leamon, R. J., Smith, C. W., Ness, N. F., Matthaeus, W. H. and Wong, H. K. 1998 J. Geophys. Res. 103, 4775.CrossRefGoogle Scholar
Lundquist, S. 1949 Nature 164, 145.CrossRefGoogle Scholar
Lysak, R. L. and Lotko, W. 1990 J. Geophys. Res. 101, 5085.CrossRefGoogle Scholar
Matthaeus, W. H. and Velli, M. 2011 Space Sci. Rev. 160, 145.CrossRefGoogle Scholar
Rudakov, L., Mithaiwala, M., Ganguli, G. and Crabtree, C. 2011 Phys. Plasmas 18, 012307.CrossRefGoogle Scholar
Sahraoui, F., Goldstein, M. L., Belmont, G., Canu, P. and Rezeau, L. 2010 Phys. Rev. Lett. 105, 131101.CrossRefGoogle Scholar
Sahraoui, F., Goldstein, M. L., Robert, P. and Khotyaintsev, Y. V. 2009 Phys. Rev. Lett. 102, 231102.CrossRefGoogle Scholar
Shen, M. M. and Nicholson, D. R. 1987 Phys. Fluids 30, 1096.CrossRefGoogle Scholar
Shukla, P. K. and Stenflo, L. 2000 Phys. Plasmas 7, 2738.CrossRefGoogle Scholar
Shukla, P. K. and Stenflo, L. 2005 Phys. Plasmas 12, 084502.CrossRefGoogle Scholar
Shukla, P. K., Stenflo, L. and Bingham, R. 1999 Phys. Plasmas 6, 16771680.CrossRefGoogle Scholar
Smith, C. W., Hamilton, K., Vasquez, B. J. and Leamon, R. J. 2006 Astrophys. J. 645, L85.CrossRefGoogle Scholar
Stasiewicz, K., Marklund, G., Lindqvist, P. A., Clemmons, J. and Zanetti, L. 1997 J. Geophys. Res. 102, 2565.Google Scholar
Stix, T. H. 1992 Waves in Plasmas. New York: American Institute of Physics, p. 33.Google Scholar