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Fluid description of kinetic modes

dc.contributor.authorLau, Y. Y.en_US
dc.date.accessioned2010-05-06T21:37:55Z
dc.date.available2010-05-06T21:37:55Z
dc.date.issued1994-09en_US
dc.identifier.citationLau, Y. Y. (1994). "Fluid description of kinetic modes." Physics of Plasmas 1(9): 2816-2821. <http://hdl.handle.net/2027.42/70099>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70099
dc.description.abstractThe classical kinetic modes, such as the Bernstein mode, the loss cone modes, and the Harris dispersion relation are reconstructed from a fluid‐like analysis. The analysis begins with a delta function in the equilibrium distribution. By simply calculating the displacement of a single electron exposed to a small signal electric field, the charge perturbation density, and the dispersion relation, immediately follow. The effect of a velocity distribution enters only through a trivial integration of the dispersion relation thus obtained for the monoenergetic plasma. The entire analysis is done in the configuration space. Thus, without explicitly performing the customary integration over the unperturbed orbits in phase space, finite Larmor radius effects to all order have been retained. Possible extensions to nonuniform plasma and to nonuniform magnetic fields are indicated.en_US
dc.format.extent3102 bytes
dc.format.extent763089 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleFluid description of kinetic modesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumIntense Energy Beam Interaction Laboratory and Department of Nuclear Engineering, University of Michigan, Ann Arbor, Michigan 48109‐2104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70099/2/PHPAEN-1-9-2816-1.pdf
dc.identifier.doi10.1063/1.870930en_US
dc.identifier.sourcePhysics of Plasmasen_US
dc.identifier.citedreferenceSee, e.g., the following textbooks: F. F. Chen, Introduction to Plasma Physics and Controlled Fusion, second edition (Plenum, New York, 1984); K. Miyamoto, Plasma Physics for Nuclear Fusion, revised edition (MIT, Cambridge, MA, 1989); T. H. Stix, Waves in Plasmas (American Institute of Physics, New York, 1992).en_US
dc.identifier.citedreferenceE. G. Harris, Phys. Rev. Lett. 2, 34 (1959); J. Nucl. Energy, Pt. C: Plasma Phys. 2, 138 (1961).en_US
dc.identifier.citedreferenceR. A. Dory, G. E. Guest, and E. G. Harris, Phys. Rev. Lett. 14, 131 (1965).en_US
dc.identifier.citedreferenceI. B. Bernstein, Phys. Rev. 109, 10 (1958).en_US
dc.identifier.citedreferenceD. L. Bobroff, IRE Trans. Electron Devices ED-6, 68 (1959).en_US
dc.identifier.citedreferenceThis procedure is equivalent to calculating the work done on the radio frequency (RF) mode by the RF current carried by the electrons. It is implicit in the Vlasov formulation, but is ubiquitous in the literature in all RF sources, such as gyrotron, free electron laser, traveling wave tubes, etc. See, e.g., Ref. 7 for a recent review. In this regard, it is interesting to note here that the classic paper on Landau damping by J. M. Dawson, Phys. Fluids 4, 869 (1961), also drew upon the small signal power theorem that was formulated in the microwave tube community. The works cited in Ref. 8 below provide a sample of the treatments of the relativistic Vlasov equation.en_US
dc.identifier.citedreferenceY. Y. Lau and D. Chernin, Phys. Fluids B 4, 3473 (1992).en_US
dc.identifier.citedreferenceK. R. Chu and J. L. Hirshfield, Phys. Fluids 21, 461 (1978); R. C. Davidson, Physics of Nonneutral Plasmas (Addison-Wesley, Redwood City, CA, 1990);High Power Microwaves, edited by V. L. Granatstein and I. Alexeff (Artech House, Norwood, MA, 1987).en_US
dc.owningcollnamePhysics, Department of


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