Abstract
The amplitude modulation of quantum ion-acoustic waves (QIAWs) along an external magnetic field is studied in a quantum electron-positron-ion (e-p-i) magnetoplasma. Reductive perturbation technique is used to derive the three-dimensional nonlinear Schrödinger equation which governs the slow modulation of QIAW packets. Accounting for the effects of the electron to ion number density ratio (μ), the normalized ion-cyclotron frequency (ωc) as well as the ratio (H) of the "plasmonic energy density" to the Fermi energy, new regimes for the modulational instability of QIAWs are obtained and analyzed. In contrast to one-dimensional unmagnetized e-p-i plasmas, the instability growth rate is shown to suppress with increasing μ or decreasing the values of H. The predicted results could be important for understanding the salient features of modulated QIAW packets in dense astrophysical plasmas as well as to the next generation intense laser solid density plasma experiments.
| Original language | English |
|---|---|
| Article number | 012103 |
| Journal | Physics of Plasmas |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2010 |
| Externally published | Yes |
Funding
This work was initiated while the authors (A.S.B., A.P.M., and N.S.S.) were attending the Summer College on Plasma Physics held during 10–28 August, 2009 at The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy. They are thankful to ICTP for giving an opportunity to attend the Summer College and also for providing nice hospitality. A.P.M. gratefully acknowledges support from Kempe Foundation and Umeå University. The work of A.S.B. and T.S.G. was supported by Department of Science and Technology, India (Project No. SR/S4/AS:245/05). The work of N.S.S. was supported by a UK EPSRC Science and Innovation award to Centre for Plasma Physics, QUB (CPP Grant No. EP/D06337X/1). N.S.S. gratefully acknowledges the leave granted by the authority of Guru Nanak Dev University, Amritsar, India.