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Modulational instability of magnetosonic waves in a spin 1/2 quantum plasma
Umeå University, Faculty of Science and Technology, Department of Physics. Institut für Theoretische Physik IV and Centre for Plasma Science and Astrophysics, Fakultät für Physik and Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany; School of Physics, University of KwaZulu-Natal, 4000 Durban, South Africa; Nonlinear Physics Centre, Ruhr-Universität Bochum, D-44780 Bochum, Germany; Max-Planck Institut für Extraterrestrische Physik, D-85741 Garching, Germany; GoLP/Instituto de Plasmas e Fusao Nuclear, Instituto Superior T’ecnico, 1049-001 Lisboa, Portugal; CCLRC Centre for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon 0X11 0QX, United Kingdom; SUPA Department of Physics, University of Strathclyde, Glasgow G40NG, United Kingdom; Department of Physics, COMSATS Institute of Information Technology, Islamabad, Pakistan.
2008 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 15, no 5, 052105Article in journal (Refereed) PublishedText
Abstract [en]

The modulational instability (MI) of magnetosonic waves (MSWs) is analyzed, by using a two-fluid quantum magnetohydrodynamic model that includes the effects of the electron-1/2 spin and the plasma resistivity. The envelope modulation is then studied by deriving the corresponding nonlinear Schrodinger equation from the governing equations. The plasma resistivity is shown to play a dissipative role for the onset of MI. In the absence of resistivity, the microscopic spin properties of electrons can also lead to MI. In such a situation, the dominant spin contribution corresponds to a dense quantum plasma with the particle number density, n(0)greater than or similar to 10(28) m(-3). Also, in such a dissipative (absorbing) medium, where the group velocity vector is usually complex for real values of the wave vector, the role of the real group velocity in the propagation of one-dimensional MSW packets in a homogeneous absorbing medium is reported. The effects of quantum spin on the stability/instability conditions of the magnetosonic envelope are obtained and examined numerically. From the nonlinear dispersion relation of the modulated wave packet it is found that the effect of the spin (plasma resistivity) is to decrease (increase) the instability growth rate provided the normalized Zeeman energy does not exceed a critical value. The theoretical results may have relevance to astrophysical (e.g., magnetars) as well as to ultracold laboratory plasmas (e.g., Rydberg plasmas).

Place, publisher, year, edition, pages
Melville: American Institute of Physics (AIP), 2008. Vol. 15, no 5, 052105
Keyword [en]
ion-acoustic-waves, packets, media, model, rays
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-117502DOI: 10.1063/1.2913265ISI: 000256305200008OAI: oai:DiVA.org:umu-117502DiVA: diva2:908461
Available from: 2016-03-02 Created: 2016-03-01 Last updated: 2016-03-02Bibliographically approved

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Shukla, Padma Kant
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