Abstract
Amplitude modulation of quantum ion-acoustic waves (QIAWs) in a quantum electron-pair-ion plasma is studied. It is shown that the quantum coupling parameter H (being the ratio of the plasmonic energy density to the Fermi energy) is ultimate responsible for the modulational stability of QIAW packets, without which the wave becomes modulational unstable. New regimes for the modulational stability (MS) and instability (MI) are obtained in terms of H and the positive to negative ion density ratio β. The growth rate of MI is obtained, the maximum value of which increases with β and decreases with H. The results could be important for understanding the origin of modulated QIAW packets in the environments of dense astrophysical objects, laboratory negative ion plasmas as well as for the next generation laser solid density plasma experiments.
Similar content being viewed by others
References
Amemiya, H., Annaratone, B.M., Allen, J.E.: Plasma Sources Sci. Technol. 8, 179 (1999)
Cramer, N.F., Yung, G.-M.: Plasma Phys. Control. Fusion 28, 1043 (1986)
Franklin, R.N.: Plasma Sources Sci. Technol. 11, A31 (2002)
Haas, F., Garcia, L.G., Goedert, J., Manfredi, G.: Phys. Plasmas 10, 3858 (2003)
Hasegawa, A., Shukla, P.K.: Phys. Scr. T116, 105 (2005)
Kim, S.H., Merlino, R.L.: Phys. Rev. E 76, 035401 (2007)
Landau, L.D., Lifshitz, E.M.: Statistical Physics, Pt. 1, p. 167. Oxford University Press, Oxford (1980)
Manfredi, G.: Fields Inst. Commun. 46, 263 (2005)
Manfredi, G., Haas, F.: Phys. Rev. B 64, 075316 (2001)
Misra, A.P.: Phys. Plasmas 16, 033702 (2009)
Misra, A.P., Shukla, P.K.: Phys. Plasmas 14, 082312 (2007)
Misra, A.P., Shukla, P.K.: Phys. Plasmas 15, 122107 (2008a)
Misra, A.P., Shukla, P.K.: Phys. Plasmas 15, 052105 (2008b)
Misra, A.P., Bhowmik, C., Shukla, P.K.: Phys. Plasmas 16, 072116 (2009)
Sabry, R.: Phys. Plasmas 15, 092101 (2008)
Sabry, R., Moslem, W.M., Shukla, P.K.: Eur. Phys. J. D 51, 233 (2009)
Samanta, S., Misra, A.P.: Phys. Plasmas 16, 074505 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Misra, A.P., Ghosh, N.K. Modulational instability of ion-acoustic wave packets in quantum pair-ion plasmas. Astrophys Space Sci 331, 605–609 (2011). https://doi.org/10.1007/s10509-010-0472-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-010-0472-1