Plasma and Fusion Research

Volume 11, 2101010 (2016)

Review Articles

Pushing Particles with Waves: Current Drive and α-Channeling
Nathaniel J. FISCH
Princeton Plasma Physics Laboratory, Princeton University, Princeton NJ 08543, USA
(Received 14 December 2015 / Accepted 13 January 2016 / Published 4 March 2016)

Abstract

It can be advantageous to push particles with waves in tokamaks or other magnetic confinement devices, relying on wave-particle resonances to accomplish specific goals. Waves that damp on electrons or ions in toroidal fusion devises can drive currents if the waves are launched with toroidal asymmetry. Theses currents are important for tokamaks, since they operate in the absence of an electric field with curl, enabling steady state operation. The lower hybrid wave and the electron cyclotron wave have been demonstrated to drive significant currents. Noninductive current also stabilizes deleterious tearing modes. Waves can also be used to broker the energy transfer between energetic alpha particles and the background plasma. Alpha particles born through fusion reactions in a tokamak reactor tend to slow down on electrons, but that could take up to hundreds of milliseconds. Before that happens, the energy in these alpha particles can destabilize on collisionless timescales toroidal Alfven modes and other waves, in a way deleterious to energy confinement. However, it has been speculated that this energy might be instead be channeled instead into useful energy, that heats fuel ions or drives current. An important question is the extent to which these effects can be accomplished together.

Keywords

noninductive current drive, alpha channeling, phase-space engineering, LHCD, ECCD

DOI: 10.1585/pfr.11.2101010

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References

  • [1] N.J. Fisch, Rev. Mod. Phys. 59, 175 (1987).
  • [2] W.H. Hooke, Plasma Phys. Control. Fusion 26, 133 (1984).
  • [3] N.J. Fisch, American Scientist 71, 27 (1983).
  • [4] R. Prater, Phys. Plasmas 11, 2349 (2004).
  • [5] R.I. Pinsker, Phys. Plasmas 22, 090901 (2015).
  • [6] R.I. Pinsker, Phys. Plasmas 8, 1219 (2001).
  • [7] D.W. Faulconer, Fusion Sci. Technol. 53, 210 (2008).
  • [8] E. Westerhof, Fusion Sci. Technol. 61, 312 (2012).
  • [9] N.J. Fisch, Fusion Sci. Technol. 65, 1 (2014).
  • [10] N.J. Fisch, Fusion Sci. Technol. 65, 79 (2014).
  • [11] J.M. Rax, Fusion Sci. Technol. 65, 10 (2014).
  • [12] T.H. Stix, Waves in Plasmas (Springer-Verlag, NY, 1992).
  • [13] M. Brambilla, Kinetic Theory of Plasma Waves in Homogeneous plasma (Oxford University Press, NY, 1998).
  • [14] J.M. Rax, Physique Des Plasmas (Dunod, Paris, 2005).
  • [15] N.J. Fisch, Phys. Rev. Lett. 41, 873 (1978).
  • [16] D.J.H. Wort, Plasma Phys. 13, 258 (1971).
  • [17] N.J. Fisch and C.F.F. Karney, Phys. Fluids 24, 27 (1981).
  • [18] M. Nakamura et al., J. Phys. Soc. Japan 51, 3696 (1982).
  • [19] S. Kubo et al., Phys. Rev. Lett. 50, 1994 (1983).
  • [20] T. Yamamoto et al., Phys. Rev. Lett. 45, 716 (1980).
  • [21] K. Ohkubo et al., Nucl. Fusion 22, 203 (1982).
  • [22] S. Luckhardt et al., Phys. Rev. Lett. 48, 152 (1982).
  • [23] M. Porkolab et al., Phys. Rev. Lett. 53, 450 (1984).
  • [24] S. Bernabei et al., Phys. Rev. Lett. 49, 1255 (1982).
  • [25] N.J. Fisch and A.H. Boozer, Phys. Rev. Lett. 45, 720 (1980).
  • [26] N.J. Fisch, Phys. Rev. A 24, 3245 (1981).
  • [27] C.F.F. Karney and N.J. Fisch, Nucl. Fusion 21, 1549 (1981).
  • [28] C.F.F. Karney and N.J. Fisch, Phys. Fluids 28, 116 (1985).
  • [29] C.F.F. Karney and N.J. Fisch, Phys. Fluids 22, 1817 (1979).
  • [30] N.J. Fisch, Phys. Fluids 29, 172 (1986).
  • [31] C.F.F. Karney and N.J. Fisch, Phys. Fluids 29, 180 (1986).
  • [32] N.J. Fisch, Phys. Fluids 28, 245 (1985).
  • [33] N.J. Fisch and C.F.F. Karney, Phys. Rev. Lett. 54, 897 (1985).
  • [34] C.F.F. Karney, F.C. Jobes and N.J. Fisch, Phys. Rev. A 32, 2554 (1985).
  • [35] F. Leuterer et al., Phys. Rev. Lett. 55, 75 (1985).
  • [36] Y. Takase et al., Phys. Fluids 30, 1169 (1987).
  • [37] Z.Y. Chen et al., Chinese Physics Letters 22, 1721 (2005).
  • [38] G. Giruzzi, E. Barbato, S. Bernabei and A. Cardinali, Nucl. Fusion 37, 673 (1997).
  • [39] B.J. Ding et al., Phys. Plasmas 19, 122507 (2012).
  • [40] H.W. Lu et al., Physica Scripta 87, 055504 (2013).
  • [41] M.H. Li et al., Plasma Sci. Technol. 14, 201 (2012).
  • [42] N.J. Fisch, AIP Conf. Proc. 1478, 80 (2012).
  • [43] N.J. Fisch and M.C. Herrmann, Plasma Phys. Control. Fusion 41, A221 (1999).
  • [44] N.J. Fisch, Fusion Sci. Technol. 51, 1 (2007).
  • [45] N.J. Fisch, AIP Conf. Proc. 1689, 020001 (2015).
  • [46] N.N. Gorelenkov, S.D. Pinches and K. Toi, Nucl. Fusion 54, 125001 (2014).
  • [47] P. Lauber, Phys. Reports-Rev. Sec. Phys. Lett. 533, 33 (2013).
  • [48] N.J. Fisch and J.M. Rax, Phys. Rev. Lett. 69, 612 (1992).
  • [49] J.F. Clarke, Nucl. Fusion 20, 563 (1980).
  • [50] K.L. Wong and M. Ono, Nucl. Fusion 24, 615 (1984).
  • [51] E. Barbato and F. Santini, Nucl. Fusion 31, 673 (1991).
  • [52] N.J. Fisch and J.M. Rax, Nucl. Fusion 32, 549 (1992).
  • [53] N.J. Fisch and M.C. Herrmann, Nucl. Fusion 34, 1541 (1994).
  • [54] A.H. Reiman, Phys. Fluids 26, 1338 (1983).
  • [55] I.Y. Dodin and N.J. Fisch, Phys. Lett. A 372, 6111 (2008).
  • [56] M.C. Herrmann and N.J. Fisch, Phys. Rev. Lett. 79, 1495 (1997).
  • [57] N.J. Fisch and M.C. Herrmann, Nucl. Fusion 35, 1753 (1995).
  • [58] N.J. Fisch, Phys. Plasmas 2, 2375 (1995).
  • [59] E.J. Valeo and N.J. Fisch, Phys. Rev. Lett. 73, 3536 (1994).
  • [60] N.J. Fisch, Nucl. Fusion 40, 1095 (2000).
  • [61] N.J. Fisch et al., in Fusion Energy 1996, Vol 1, Proc. Series IAEA (IAEA, 1997) pp. 271-279, 16th Int. Conf. Fusion Energy, Montreal, Canada, Oct 07-11, 1996.
  • [62] D.S. Clark and N.J. Fisch, Phys. Plasmas 7, 2923 (2000).
  • [63] N.N. Gorelenkov, N.J. Fisch and E. Fredrickson, Plasma Phys. Control. Fusion 52, 055014 (2010).
  • [64] F. Imbeaux and Y. Peysson, Plasma Phys. Control. Fusion 47, 2041 (2005).
  • [65] J. Decker et al., Nucl. Fusion 51, 073025 (2011).
  • [66] Y. Peysson and J. Decker, Fusion Sci. Technol. 65, 22(2014).
  • [67] S. Ceccuzzi et al., Fusion Sci. Technol. 64, 748 (2013).
  • [68] W. Horton, M. Goniche, Y. Peysson, J. Decker, A. Ekedahl and X. Litaudon, Phys. Plasma 20, 112508 (2013).
  • [69] J. Hillairet, D. Voyer, A. Ekedahl et al., Nucl. Fusion 50, 125010 (2010).
  • [70] E. Nilsson et al., Nucl. Fusion 53, 083018 (2013).
  • [71] S. Xingjian, H. Yemin and G. Zhe, Plasma Sci. Technol. 14, 215 (2012).
  • [72] M. Schneider, L.-G. Eriksson, F. Imbeaux and J. Artaud, Nucl. Fusion 49, 125005 (2009).
  • [73] M. Spada, M. Bornatici and F. Engelmann, Nucl. Fusion 31, 447 (1991).
  • [74] E. Barbato and F. Santini, Nucl. Fusion 31, 673 (1991).
  • [75] E. Barbato and A. Saveliev, Plasma Phys. Control. Fusion 46, 1283 (2004).
  • [76] P. Bonoli and M. Porkolab, Nucl. Fusion 27, 1341 (1987).
  • [77] Y.A. Podpaly, G.M. Olynyk, M.L. Garrett, P.T. Bonoli, and D.G. Whyte, Fusion Eng. Des. 87, 215 (2012).
  • [78] B. Sorbom et al., Fusion Eng. Des. 100, 378 (2015).
  • [79] I.E. Ochs, N. Bertelli and N.J. Fisch, Phys. Plasmas 22, 082119 (2015).
  • [80] I.E. Ochs, N. Bertelli and N.J. Fisch, Phys. Plasmas 22, 112103 (2015).
  • [81] P.T. Bonoli and E. Ott, Phys. Fluids 25, 359 (1982).
  • [82] L. Laurent and J.M. Rax, Europhys. Lett. 11, 219 (1990).
  • [83] R. Cesario et al., Nature Communications 1, 55 (2010).
  • [84] N.J. Fisch, Nucl. Fusion 21, 15 (1981).
  • [85] T. Ohkawa, Nucl. Fusion 10, 185 (1970).
  • [86] N.J. Fisch, J. Plasma Phys. 76, 627 (2010).
  • [87] M.J. Mantsinen et al., Plasma Phys. Control. Fusion 45, A445 (2003).
  • [88] M. Laxaback and T. Hellsten, Nucl. Fusion 45, 1510 (2005).
  • [89] K. Molvig, N.M. Hoffman, B.J. Albright, E.M. Nelson and R.B. Webster, Phys. Rev. Lett. 109, 095001 (2012).
  • [90] P.F. Schmit, K. Molvig and C.W. Nakhleh, Phys. Plasmas 20, 112705 (2013).
  • [91] S. Davidovits and N.J. Fisch, Phys. Plasmas 21, 092114 (2014).
  • [92] N.J. Fisch, Phys. Rev. Lett. 97, 225001 (2006).
  • [93] A.I. Zhmoginov and N.J. Fisch, Phys. Plasmas 15, 042506 (2008).
  • [94] A.I. Zhmoginov and N.J. Fisch, Phys. Plasmas 16, 112511 (2009).
  • [95] A.I. Zhmoginov and N.J. Fisch, Fusion Sci. Technol. 57, 361 (2010).
  • [96] A.I. Zhmoginov and N.J. Fisch, Phys. Rev. Lett. 107, 175001 (2011).
  • [97] B. Lehnert, Nucl. Fusion 11, 485 (1971).
  • [98] A.J. Fetterman and N.J. Fisch, Phys. Rev. Lett. 101, 205003 (2008).
  • [99] A.J. Fetterman and N.J. Fisch, Phys. Plasmas 17, 112508 (2010).
  • [100] A.J. Fetterman and N.J. Fisch, Fusion Sci. Technol. 57, 343 (2010).
  • [101] A.J. Fetterman and N.J. Fisch, Phys. Plasmas 17, 042112 (2010).
  • [102] A.J. Fetterman and N.J. Fisch, Plasma Sources Sci. Technol. 18, 045003 (2009).
  • [103] T. Ohkawa and R.L.Miller, Phys. Plasmas 9, 5116 (2002).
  • [104] A.J. Fetterman and N.J. Fisch, Phys. Plasmas 18, 094503 (2011).
  • [105] R. Gueroult and N.J. Fisch, Phys. Plasmas 19, 122503 (2012).
  • [106] R. Gueroult and N.J. Fisch, Plasma Sources Sci. Technol. 23, 035002 (2014).
  • [107] R. Gueroult, J.M. Rax and N.J. Fisch, Phys. Plasmas 21, 020701 (2014).
  • [108] R. Gueroult, D. Hobbs and N.J. Fisch, J. Hazardous Materials 297, 153 (2015).
  • [109] M.J. Hay and N.J. Fisch, Phys. Plasma 22, 112116 (2015).
  • [110] S. Son and N.J. Fisch, Phys. Rev. Lett. 95, 225002 (2005).
  • [111] W. Manheimer, J. Fusion Energy 33, 199 (2014).
  • [112] N.J. Fisch and J.M. Rax, Phys. Fluids B 5, 1754 (1993).
  • [113] M.J. Hay, J. Schiff and N.J. Fisch, Phys. Plasmas 22, 102108 (2015).