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Fast magnetic field penetration into low resistivity plasma

Published online by Cambridge University Press:  19 January 2017

Amnon Fruchtman*
Affiliation:
Physics Department, H.I.T. - Holon Institute of Technology, 52 Golomb St., Holon 58102, Israel
*
Email address for correspondence: fnfrucht@hit.ac.il

Abstract

Penetration of a magnetic field into plasma that is faster than resistive diffusion can be induced by the Hall electric field in a non-uniform plasma. This mechanism explained successfully the measured velocity of the magnetic field penetration into pulsed plasmas. Major related issues have not yet been resolved. Such is the theoretically predicted, but so far not verified experimentally, high magnetic energy dissipation, as well as the correlation between the directions of the density gradient and of the field penetration.

Type
Research Article
Copyright
© Cambridge University Press 2017 

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References

Arad, R., Tsigutkin, K., Maron, Y., Fruchtman, A. & Huba, J. D. 2003 Observation of faster-than-diffusion magnetic field penetration into a plasma. Phys. Plasmas 10, 112125.Google Scholar
Bian, N. & Vekstein, G. 2007 On the two-fluid modification of the resistive tearing instability. Phys. Plasmas 14, 072107.CrossRefGoogle Scholar
Bulanov, S. V., Pegoraro, F. & Sakharov, A. S. 1992 Magnetic reconnection in electron magnetohydrodynamics. Phys. Fluids B 4, 24992508.CrossRefGoogle Scholar
Cassak, P. A., Shay, M. A. & Drake, J. F. 2005 Catastrophe model for fast magnetic reconnection onset. Phys. Rev. Lett. 95, 235002, 1–4.Google Scholar
Chuvatin, A. S., Ivanov, A. A. & Rudakov, L. I. 2004 Stationary rarefaction wave in magnetized Hall Plasmas. Phys. Rev. Lett. 92, 095007, 1–4.Google Scholar
Degeling, A. W., Borg, G. G. & Boswell, R. W. 2004 Transitions from electrostatic to electromagnetic whistler wave excitation. Phys. Plasmas 11, 21442155.Google Scholar
Doron, R., Arad, R., Bernshtam, V., Maron, Y. & Ralchenko, Y. 2008 High-electron-temperature diagnostics of transient ionizing plasma using near-uv transitions. Phys. Rev. E 78, 036410, 1–7.Google Scholar
Doron, R., Arad, R., Tsigutkin, K., Osin, D., Weingarten, A., Starobinets, A., Bernshtam, V. A., Stambulchik, E., Ralchenko, Yu. V., Maron, Y. et al. 2004 Plasma dynamics in pulsed strong magnetic fields. Phys. Plasmas 11, 24112418.Google Scholar
Fruchtman, A. 1991 Penetration and expulsion of magnetic fields in plasmas due to the Hall field. Phys. Fluids B 3, 19081912.CrossRefGoogle Scholar
Fruchtman, A. 1992a Power dissipation during rapid magnetization or demagnetization of plasmas. Phys. Rev. A 45, 39383942.Google Scholar
Fruchtman, A. 1992b Deviations from the frozen-in law in the presence of small (but nonzero) resistivity. Phys. Fluids B 4, 34463447.Google Scholar
Fruchtman, A. 2003 Limits on the efficiency of several electric thruster configurations. Phys. Plasmas 10, 21002107.Google Scholar
Fruchtman, A. & Gomberoff, K. 1992 Magnetic field penetration and electron heating in weakly nonuniform plasmas. Phys. Fluids B 4, 117123.Google Scholar
Fruchtman, A. & Gomberoff, K. 1993 Magnetic field penetration due to the Hall field in (almost) collisionless plasmas. Phys. Fluids B 5, 23712377.Google Scholar
Fruchtman, A., Ivanov, A. A. & Kingsep, A. S. 1998 The energy balance in the plasma of a coaxial plasma opening switch. Phys. Plasmas 5, 11331141.Google Scholar
Fruchtman, A. & Maron, Y. 1991 Fast magnetic field penetration into plasmas due to the Hall field. Phys. Fluids B 3, 15461551.Google Scholar
Fruchtman, A. & Rudakov, L. I. 1992 Two dimensional fast penetration of a magnetic field into a homogeneous plasma. Phys. Rev. Lett. 69, 20702073.CrossRefGoogle ScholarPubMed
Fruchtman, A. & Rudakov, L. I. 1994 Different class of two-dimensional shocks in magnetized plasmas. Phys. Rev. E 50, 29973005.CrossRefGoogle ScholarPubMed
Fruchtman, A. & Strauss, H. R. 1993 Modification of short scalelength tearing modes by the Hall field. Phys. Fluids B 5, 14081412.Google Scholar
Gordeev, A. V., Kingsep, A. S. & Rudakov, L. I. 1994 Electron magnetohydrodynamics. Phys. Rep. 243, 215315.Google Scholar
Huba, J. D., Grossmann, J. M. & Ottinger, P. F. 1994 Hall magnetohydrodynamic modeling of a long conduction time plasma opening switch. Phys. Plasmas 1, 34443454.Google Scholar
Huba, J. D. & Rudakov, L. I. 2004 Hall magnetic reconnection rate. Phys. Rev. Lett. 93, 175003, 1–4.CrossRefGoogle ScholarPubMed
Kalda, Y. L. & Kingsep, A. S. 1989 Generation of small scales in convective magnetic-field transport. Sov. J. Plasma Phys. 15, 508509.Google Scholar
Karavaev, A. V., Gumerov, N. A., Papadopoulos, N., Shao, X., Sharma, A. S., Gekelman, W., Gigliotti, A., Pribyl, P. & Vincena, S. 2010 Generation of whistler waves by a rotating magnetic field source. Phys. Plasmas 17, 012102, 1–13.Google Scholar
Kingsep, A. S., Chukbar, K. V. & Yan‘kov, V. V. 1990 Electron magnetohydrodynamics. In Reviews of Plasma Physics (ed. Kadomtsev, B. B.), vol. 16, p. 243. Consulatants Bureau.Google Scholar
Kingsep, A. S., Mokhov, Yu. & Chukbar, K. V. 1984 Nonlinear skin effects in a plasma. Fiz. Plazmy 10, 854859; (Sov. J. Plasma Phys. 10, 495).Google Scholar
Mendel, C. W. Jr & Goldstein, S. A. 1977 A fast opening switch for use in REB diode experiments. J. Appl. Phys. 48, 10041006.CrossRefGoogle Scholar
Oliver, B. V., Rudakov, L. I., Mason, R. J. & Auer, P. L. 1992 Self similar magnetic field penetration of a homogeneous collisionless plasma due to electron velocity advection. Phys. Fluids B 4, 294298.Google Scholar
Richardson, A. S., Angus, J. R., Swanekamp, S. B., Ottinger, P. F. & Schumer, J. W. 2013 Theory and simulations of electron vortices generated by magnetic pushing. Phys. Plasmas 20, 082115.Google Scholar
Richardson, A. S., Angus, J. R., Swanekamp, S. B., Rittersdorf, I. M., Ottinger, P. F. & Schumer, J. W. 2016 The effect of electron inertia in Hall-driven magnetic field penetration in electron-magnetohydrodynamics. Phys. Plasmas 23, 052110.Google Scholar
Rosenbluth, M. N. 1963 Infinite conductivity theory of the pinch. V. Surface layer model in the limit of no collisions. In Progress in Nuclear Energy, Series XI: Plasma Physics and Thermonuclear Research (ed. Longmire, C. L., Tuck, J. L. & Thompson, W. B.), vol. 2, p. 271. Pergamon.Google Scholar
Rubinstein, B., Doron, R., Maron, Y., Fruchtman, A. & Mehlhorn, T. A. 2016 The structure of a magnetic-field front propagating non-diffusively in low-resistivity multi-species plasma. Phys. Plasmas 23, 040703, 1–5.Google Scholar
Sarfaty, M., Shpitalnik, R., Arad, R., Weingarten, A., Krasik, Ya. E., Fruchtman, A. & Maron, Y. 1995 Spectroscopic investigation of fast (ns), magnetic field penetration in a plasma. Phys. Plasmas 2, 25832589.CrossRefGoogle Scholar
Shpitalnik, R., Weingarten, A., Gomberoff, K., Krasik, Ya. & Maron, Y. 1998 Observations of two-dimensional magnetic field evolution in a plasma opening switch. Phys. Plasmas 5, 792798.Google Scholar
Stenzel, R. L., Urrutia, J. M. & Strohmaier, K. D. 2006 Whistler Modes with wave magnetic fields exceeding the ambient field. Phys. Rev. Lett. 96, 095004, 1–4.CrossRefGoogle ScholarPubMed
Stenzel, R. L., Urrutia, J. M. & Strohmaier, K. D. 2009 Nonlinear electron magnetohydrodynamic physics. VII. Magnetic loop antenna in a field-free plasma. Phys. Plasmas 16, 022103, 1–10.CrossRefGoogle Scholar
Swanekamp, S. B., Grossmann, J. M., Fruchtman, A., Oliver, B. V & Ottinger, P. F. 1996 PIC simulations of fast magnetic field penetration into plasmas due to the Hall electric field. Phys. Plasmas 3, 35563563.Google Scholar
Urrutia, J. M. & Stenzel, R. L. 1989 Transport of current by whitler waves. Phys. Rev. Lett. 62, 272275.Google Scholar
Weber, B. V., Commisso, R. I., Cooperstein, G., Grossmann, J. M., Hinshelwood, D. D., Mosher, D., Neri, J. M., Ottinger, P. F. & Stephanakis, S. J. 1987 Plasma erosion opening switch research at NRL. IEEE Trans. Plasma Sci. PS‐15, 635648.Google Scholar
Weber, B. V., Commisso, R. J., Meger, R. A., Neri, J. M., Oliphant, W. F. & Ottinger, P. F. 1984 Current distribution in a plasma erosion opening switch. Appl. Phys. Lett. 45, 10431045.Google Scholar
Weingarten, A., Arad, R., Maron, Y. & Fruchtman, A. 2001 On separation due to magnetic field penetration into a multispecies plasma. Phys. Rev. Lett. 87, 115004, 1–4.Google Scholar