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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    HAAS, FERNANDO and MENDONÇA, JOSÉ T. 2013. Exact solution to neutrino-plasma two-flavor dynamics. Journal of Plasma Physics, Vol. 79, Issue. 06, p. 991.


    Mendonça, J. T. and Haas, F. 2013. Neutrino oscillations in a turbulent plasma. Physics of Plasmas, Vol. 20, Issue. 7, p. 072107.


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Amplification of neutrino oscillations by a density ripple in dense plasmas

  • P. K. SHUKLA (a1)
  • DOI: http://dx.doi.org/10.1017/S002237781000070X
  • Published online: 21 January 2011
Abstract
Abstract

It is shown that a pre-existing electron density ripple in a dense plasma can excite electron neutrino oscillations. For our purposes, we use the dispersion relation for neutrino oscillations and derive the Mathieu equation for the propagation of neutrino oscillations in the presence of a spatially oscillating electron density ripple. The Mathieu equation predicts instability of neutrino oscillations. The criterion under which instability occurs is presented. Analytical expressions for the neutrino oscillation frequency and the growth rate are obtained. The possible relevance of our investigation to non-thermal neutrino oscillations in dense plasma environments (e.g. the supernovae, the core of white dwarf stars etc.) is briefly mentioned.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1]H. A. Bethe 1986 Phys. Rev. Lett. 56, 1305.

[2]H. A. Bethe 1990 Rev. Mod. Phys. 62, 801.

[4]R. Bingham , J. M. Dawson , J. J. Su and H. A. Bethe 1994 Phys. Lett. A 193, 279.

[5]R. Bingham , H. A. Bethe , J. M. Dawson , P. K. Shukla and J. J. Su 1996 Phys. Lett. A 220, 107.

[6]L. O. Silva , R. Bingham , J. M. Dawson , 1999 Phys. Rev. Lett. 83, 2703.

[7]J. T. Mendonça 2001 Theory of Photon Acceleration. Bristol, UK: Institute of Physics.

[9]A. T. Lin , P. K. Kaw and J. M. Dawson 1978 Phys. Rev. A 8, 2618.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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