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Kinetic Alfvén mode and kinetic magnetosonic mode from a fluid description

dc.contributor.authorBeach, Glenn J.en_US
dc.contributor.authorLau, Y. Y.en_US
dc.date.accessioned2010-05-06T21:59:57Z
dc.date.available2010-05-06T21:59:57Z
dc.date.issued1995-05en_US
dc.identifier.citationBeach, Glenn J.; Lau, Y. Y. (1995). "Kinetic Alfvén mode and kinetic magnetosonic mode from a fluid description." Physics of Plasmas 2(5): 1367-1371. <http://hdl.handle.net/2027.42/70334>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70334
dc.description.abstractThe dispersion relations for the classical electromagnetic modes in a uniform, magnetized, monoenergetic plasma, are reconstructed from a fluid approach. Under study are the Alfvén waves (parallel propagation) and the magnetosonic waves (perpendicular propagation). This fluid theory accounts for finite Larmor radius effects to all order, and is shown to yield identical results from the Vlasov formulation. © 1995 American Institute of Physics.en_US
dc.format.extent3102 bytes
dc.format.extent564656 bytes
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dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleKinetic Alfvén mode and kinetic magnetosonic mode from a fluid descriptionen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, University of Michigan, Ann Arbor, Michigan 48109‐2104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70334/2/PHPAEN-2-5-1367-1.pdf
dc.identifier.doi10.1063/1.871352en_US
dc.identifier.sourcePhysics of Plasmasen_US
dc.identifier.citedreferenceY. Y. Lau, Phys. Plasmas 1, 2816 (1994).en_US
dc.identifier.citedreferenceD. L. Bobroff, IRE Trans. Electron Devices ED-6, 68 (1959).en_US
dc.identifier.citedreferenceSee, e.g., D. R. Nicholson, Introduction to Plasma Theory (Wiley, New York, 1983), Chap. 7.en_US
dc.identifier.citedreferenceSee, e.g., T. H. Stix, The Theory of Plasma Waves (McGraw-Hill, New York, 1962), Chap. 8.en_US
dc.identifier.citedreferenceWe have also used the fluid approach given in this paper to reconstruct the dispersion relation for the Weibel instability[ E. S. Weibel, Phys. Rev. Lett. 2, 83 (1959)]. In this case, the polarization of the small signal electric field and the role played by the electrons are vastly different from the kinetic Alfvéh mode, even though both modes are electromagnetic and are characterized by k//B0.k∕∕B0. The Weibel instability is a high-frequency kinetic mode, in which the ions may be taken as infinitely massive. For an electron equilibrium distribution function given by Eq. (A6) of Appendix A, the small signal electric field, E1,E1, is no longer linearly polarized. By assuming a general polarization orthogonal to the external magnetic field, we solved for the fluid displacement x1x1 in response to E1E1 [and to B1B1 by virtue of Eq. (2)]. We next used Eq. (6) to recalculate the small signal current density, J1.J1. The eigenvector E1E1 constructed out of Eq. (8) for the electromagnetic modes then turns out to be circularly polarized, and the dispersion relation obtained from this fluid reconstruction is identical to Eq. (8′) of K. R. Chu and J. L. Hirshfield [Phys. Fluids 21, 461 (1978)].en_US
dc.owningcollnamePhysics, Department of


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