Resistive destabilization of cycloidal electron flow and universality of (near‐) Brillouin flow in a crossed‐field gap
dc.contributor.author | Christenson, Peggy J. | en_US |
dc.contributor.author | Chernin, David P. | en_US |
dc.contributor.author | Garner, Allen L. | en_US |
dc.contributor.author | Lau, Y. Y. | en_US |
dc.date.accessioned | 2010-05-06T23:36:12Z | |
dc.date.available | 2010-05-06T23:36:12Z | |
dc.date.issued | 1996-12 | en_US |
dc.identifier.citation | Christenson, Peggy J.; Chernin, David P.; Garner, Allen L.; Lau, Y. Y. (1996). "Resistive destabilization of cycloidal electron flow and universality of (near‐) Brillouin flow in a crossed‐field gap." Physics of Plasmas 3(12): 4455-4462. <http://hdl.handle.net/2027.42/71350> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/71350 | |
dc.description.abstract | It is shown that a small amount of dissipation, caused by current flow in a lossy external circuit, can produce a disruption of steady‐state cycloidal electron flow in a crossed‐field gap, leading to the establishment of a turbulent steady state that is close to, but not exactly, Brillouin flow. This disruption, which has nothing to do with a diocotron or cyclotron instability, is fundamentally caused by the failure of a subset of the emitted electrons to return to the cathode surface as a result of resistive dissipation. This mechanism was revealed in particle simulations, and was confirmed by an analytic theory. These near‐Brillouin states differ in several interesting respects from classic Brillouin flow, the most important of which is the presence of a microsheath and a time‐varying potential minimum very close to the cathode surface. They are essentially identical to that produced when (i) injected current exceeds a certain critical value [P. J. Christenson and Y. Y. Lau, Phys. Plasmas 1, 3725 (1994)] or (ii) a small rf electric field is applied to the gap [P. J. Christenson and Y. Y. Lau, Phys. Rev. Lett. 76, 3324 (1996)]. It is speculated that such near‐Brillouin states are generic in vacuum crossed‐field devices, due to the ease with which the cycloidal equilibrium can be disrupted. Another novel aspect of this paper is the introduction of transformations by which the nonlinear, coupled partial differential equations in the Eulerian description (equation of motion, continuity equation, Poisson equation, and the circuit equation) are reduced to an equivalent system of very simple linear ordinary differential equations. © 1996 American Institute of Physics. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 154854 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Resistive destabilization of cycloidal electron flow and universality of (near‐) Brillouin flow in a crossed‐field gap | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109‐2104 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/71350/2/PHPAEN-3-12-4455-1.pdf | |
dc.identifier.doi | 10.1063/1.872064 | en_US |
dc.identifier.source | Physics of Plasmas | en_US |
dc.identifier.citedreference | A. W. Hull, Phys. Rev. 18, 31 (1921). | en_US |
dc.identifier.citedreference | P. J. Christenson and Y. Y. Lau, Phys. Plasmas 1, 3725 (1994); Erratum: 3, 4293 (1996). | en_US |
dc.identifier.citedreference | For zero initial velocity and BGT>BH,BGT>BH, the critical current density is NOT achieved under the space charge limited condition of the zero surface electric field. However, the current density computed under the assumption of the zero surface electric field, as done in Ref. 2, still gives a good estimate. See Ref. 4 for more detail. The “critical” current under the zero electric field assumption for the relativistic regime is given by R. V. Lovelace and E. Ott, Phys. Fluids 17, 1263 (1974), while Ron et al. (Ref. 5) did not invoke such an assumption. | en_US |
dc.identifier.citedreference | P. J. Christenson, Ph.D. thesis, University of Michigan, Ann Arbor, 1996. | en_US |
dc.identifier.citedreference | A. Ron, A. A. Mondelli, and N. Rostoker, IEEE Trans. Plasma Sci. PS-1, 85 (1973). | en_US |
dc.identifier.citedreference | L. Brillouin, Phys. Rev. 67, 260 (1945). | en_US |
dc.identifier.citedreference | P. J. Christenson and Y. Y. Lau, Phys. Rev. Lett. 76, 3324 (1996). | en_US |
dc.identifier.citedreference | See, e.g., R. C. Davidson, Physics of Nonneutral Plasmas (Addison- Wesley, Redwood City, CA, 1990); J. D. Lawson, Physics of Charged Particle Beams (Oxford University Press, Oxford, 1988). | en_US |
dc.identifier.citedreference | O. W. Richardson, Proc. Cambridge Philos. Soc. 11, 286 (1901); S. Dushman, Phys. Rev. 20, 623 (1923). | en_US |
dc.identifier.citedreference | PDP1 (Plasma Device Planar 1 Dimensional), Copyright 1990–1993 Regents of the University of California, Plasma Theory and Simulation Group, Berkeley, CA. Available from Software Distribution Office of ILP, 205 Cory Hall, Berkeley, CA 94720; Electronic mail: software@eecs.berkeley.edu. This is a one-dimensional code that includes all three components of velocity. | en_US |
dc.identifier.citedreference | S. Ramo, Proc. IRE 27, 584 (1939); see also, M. V. Chodorow and C. Susskind, Fundamentals of Microwave Electronics (McGraw-Hill, New York, 1965). | en_US |
dc.identifier.citedreference | C. K. Birdsall and W. B. Bridges, Electron Dynamics of Diode Regions (Academic, New York, 1966). | en_US |
dc.identifier.citedreference | Y. Y. Lau, P. J. Christenson, and D. Chernin, Phys. Fluids B 5, 4486 (1993). | en_US |
dc.identifier.citedreference | A. Palevsky, G. Bekefi, and A. Drobot, J. Appl. Phys. 52, 4938 (1981). | en_US |
dc.identifier.citedreference | D. Chernin, A. Drobot, G. Hilfer, M. Kess, and S. Riyopoulos, in Digest of IEEE International Electron Devices Meeting (Institute of Electrical and Electronic Engineers, New York, 1991), IEEE Cat. No. 91CH3075-9, p. 593; G. E. Dombrowski, IEEE Trans. Electron Devices ED-35, 2060 (1988); R. MacGregor, C. Chan, J. Ye, and T. Ruden, IEEE Trans. Electron Devices, ED-41, 1456 (1994). | en_US |
dc.identifier.citedreference | See, e.g., P. G. Drazin, Nonlinear Systems (Cambridge University Press, Cambridge, 1992). | en_US |
dc.owningcollname | Physics, Department of |
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