Scaling laws of density fluctuations in tokamak plasmas

Pascale Hennequin

doi:10.1016/j.crhy.2006.08.001

Scaling laws of density fluctuations in tokamak plasmas
[Des lois d'échelle de fluctuation de densité dans les plasmas de tokamak]

Pascale Hennequin ¹

¹ Laboratoire de physique et technologie des plasmas, CNRS-École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Physique, Volume 7 (2006) no. 6, pp. 670-678.

Résumé
Abstract

Les mesures de fluctuations apportent des éléments clés pour l'analyse du transport turbulent dans les plasmas de tokamak. Elles complètent les expériences d'analyse de dépendance du confinement avec les paramètres sans dimension par des informations locales et détaillées. Les caractéristiques spatiales et temporelles fournissent notamment des contraintes supplémentaires pour la validation des modèles. Cet article présente les principales observations réalisées sur les tokamaks, principalement en lien avec le rayon de Larmor normalisé $ρ^{*}$ . L'analyse de la dépendance de la structure spatiale est complétée par l'étude des lois d'échelle en nombre d'onde, caractéristique des mécanismes non linéaires de saturation et de dissipation.

Fluctuation measurements provide key elements for turbulent transport analysis. In scaling experiments, they bring complementary local information for validating confinement dependence on nondimensional parameters. The scaling of spatial and temporal characteristics of the fluctuations allows a more detailed comparison with transport models. This article will review the fluctuation observations of the scaling experiments in different tokamaks. They concern mainly scaling laws with the normalised gyroradius $ρ^{*}$ . This article also presents another aspect of fluctuations dependence, the scaling with the wavenumber, which provides information on the nonlinear turbulence mechanisms.

Publié le : 2006-07-01

DOI : 10.1016/j.crhy.2006.08.001

Keywords: Tokamak plasma, Fluctuation measurements, Turbulent transport
Mot clés : Plasma de tokamak, Mesures de fluctuations, Transport turbulent

Affiliations des auteurs :

Pascale Hennequin ¹

¹ Laboratoire de physique et technologie des plasmas, CNRS-École polytechnique, 91128 Palaiseau cedex, France

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     title = {Scaling laws of density fluctuations in tokamak plasmas},
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     pages = {670--678},
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     number = {6},
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     doi = {10.1016/j.crhy.2006.08.001},
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Pascale Hennequin. Scaling laws of density fluctuations in tokamak plasmas. Comptes Rendus. Physique, Volume 7 (2006) no. 6, pp. 670-678. doi : 10.1016/j.crhy.2006.08.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2006.08.001/

Bibliographie
Cité par

[1] D. McDonald, C. R. Physique 7 (2006), this issue

[2] W. Horton Rev. Mod. Phys., 71 (1999), p. 735

[3] B.W. Stallard et al. Phys. Plasmas, 6 (1999), p. 1978

[4] G.T. Hoang et al. Nucl. Fusion, 38 (1998), p. 117

[5] G.T. Hoang et al. Phys. Rev. Lett., 87 (2001) (125001)

[6] T. Crowley; E. Mazzucato Nucl. Fusion, 25 (1985), p. 507

[7] TFR Group; A. Truc Nucl. Fusion, 26 (1986), p. 1303

[8] A.J. Wootton et al. Phys. Fluids B, 2 (1990), p. 2879

[9] S.F. Paul; N. Bretz; R.D. Durst; R.J. Fonck; Y.J. Kim; E. Mazzucato; R. Nazikian Phys. Fluids B, 4 (1992), p. 2922

[10] R.D. Durst; R.J. Fonck; J.S. Kim; S.F. Paul; N. Bretz; C. Bush; Z. Chang; R. Hulse Phys. Rev. Lett., 71 (1993), p. 3135

[11] X. Garbet et al. Nucl. Fusion, 32 (1992), p. 2147

[12] C. Laviron et al. Montréal, October 1996, IAEA-CN-64/A6-3, Proc. 16th IAEA Fusion Energy Conf., vol. 1, IAEA, Vienna (1997), p. 535

[13] L. Colas; X.L. Zou; et al.; X.L. Zou et al. Phys. Rev. Lett., 38 (1998), p. 903

[14] E.J. Doyle; R.J. Groebner; K.H. Burrell; P. Gohil; T. Lehecka; N.C. Luhmann; H. Matsumoto; T.H. Osborne; W.A. Peebles; R. Philipona Phys. Fluids B, 3 (1991), p. 2300

[15] Moyer et al. Phys. Plasmas, 2 (1995), p. 2397

[16] K.H. Burrell; K.H. Burrell et al. Plasma Phys. Control. Fusion, 4 (1997), p. 1499

[17] E. Mazzucato et al. Phys. Rev. Lett., 77 (1996), p. 3145

[18] E.J. Doyle et al. Montréal, October 1996, IAEA-CN-64/A6-4, Proc. 16th IAEA Fusion Energy Conf., vol. 1, IAEA, Vienna (1997), p. 544

[19] E.J. Doyle et al. Plasma Phys. Control. Fusion, 42 (2000), p. A236

[20] G.D. Conway Plasma Phys. Control. Fusion, 41 (1999), p. 65

[21] B.B. Kadomtsev Sov. J. Plasma Phys., 1 (1975), p. 295

[22] J.W. Connor et al. Nucl. Fusion, 17 (1977), p. 1047

[23] F.W. Perkins; C.W. Barnes; D.W. Johnson; S.D. Scott; M.C. Zarnstorff; M.G. Bell; R.E. Bell; C.E. Bush; B. Grek; K.W. Hill; D.K. Mansfield; H. Park; A.T. Ramsey; J. Schivell; B.C. Stratton; E. Synakowski Phys. Fluids B, 5 (1993), p. 477

[24] C.C. Petty; T.C. Luce; K.H. Burrell et al. Phys. Plasmas, 2 (1995), p. 2342

[25] J.G. Cordey; B. Balet; D. Campbell; C.D. Challis; J.P. Christiansen; C. Gormezano; C. Gowers; D. Muir; E. Righi; G.R. Saibene; P.M. Stubberfield; K. Thomsen Plasma Phys. Control. Fusion, 38 (1996), p. A67

[26] D.R. Baker et al. Nucl. Fusion, 40 (2000), p. 799

[27] G. Manfredi; M. Ottaviani Phys. Rev. Lett., 79 (1997), p. 4190

[28] M. Ottaviani; G. Manfredi Phys. Plasmas, 6 (1999), p. 3267

[29] Z. Lin; S. Ethier; T.S. Hahm; W.M. Tang Phys. Rev. Lett., 88 (2002), p. 19

[30] X. Garbet Plasma Phys. Control. Fusion, 43 (2001), p. A251

[31] J. Weiland Collective Modes in Inhomogeneous Plasmas, IOP, 2000

[32] D.L. Brower; W.A. Peebles; N.C. Luhmann Nucl. Fusion, 27 (1987), p. 2055

[33] C.M. Surko Cargèse Workshop 1986 (1986)

[34] H. Weisen; C. Hollenstein; R. Behn Plasma Phys. Control. Fusion, 30 (1988), p. 293

[35] T.L. Rhodes; C.P. Ritz; R.D. Bengston Nucl. Fusion, 33 (1993), p. 1147

[36] E. Mazzucato; R. Nazikian Phys. Rev. Lett., 71 (1993), p. 1840

[37] G.R. McKee; C.C. Petty; R.E. Waltz; C. Fenzi; R.J. Fonck; J.E. Kinsey; T.C. Luce et al. Nucl. Fusion, 41 (2001), p. 1253

[38] X.L. Zou, et al., in: Proc. of 24th Eur. Conf. on Control. Fusion and Plasma Phys., 1997, vol. III, 1998

[39] A. Truc; A. Quémeneur; P. Hennequin; D. Grésillon; F. Gervais; C. Laviron; J. Olivain; S.K. Saha; P. Devynck Rev. Sci. Instrum., 63 (1992), p. 3716

[40] P. Hennequin; R. Sabot; C. Honoré; G.T. Hoang; X. Garbet; A. Truc; C. Fenzi; A. Quéméneur Plasma Phys. Control. Fusion, 46 (2004), p. B121

[41] A. Sirinelli, D. Elbèze, F. Imbeaux, G. Falchetto, X. Garbet, P. Hennequin, R. Sabot, in: EPS Conference on Plasma Physics and Contr. Fusion, Rome, 2006, p. 5.101

[42] G. McKee, et al., in: APS Meeting, Albuquerque, October 2003

[43] E. Mazzucato Phys. Rev. Lett., 48 (1982), p. 1828

[44] D.L. Brower; W.A. Peebles; N.C. Luhmann; R. Savage Phys. Rev. Lett., 54 (1985), p. 689

[45] P. Devynck; X. Garbet; C. Laviron; J. Payan; S.K. Saha; F. Gervais; P. Hennequin; A. Quemeneur; A. Truc Plasma Phys. Control. Fusion, 35 (1993), p. 63

[46] C.P. Ritz; D.L. Brower; T.L. Rhodes; R.D. Bengston; S.J. Levinson; N.C. Luhmann; W.A. Peebles; E.J. Powers Nucl. Fusion, 27 (1987), p. 1125

[47] X.L. Zou, et al., in: Proc. of 26th EPS Conf. on Control. Fusion and Plasma Phys., Maastricht, 1999, vol. 23J, 1999, p. 1041

[48] R.J. Fonck; G. Cosby; R.D. Durst; S.F. Paul; N. Bretz; S. Scott; E. Synakowski; G. Taylor Phys. Rev. Lett., 70 (1993), p. 3736

[49] N. Bretz, E. Mazzucato, R. Nazikian, S.F. Paul, G.W. Hammet, W. Tang, R.J. Fonck, R.D. Durst, G. Cosby, in: Proc. 14th IAEA Fusion Energy Conf., Wurzburg, October 1992, IAEA-CN-56/A7-17

[50] G.D. Conway Plasma Phys. Control. Fusion, 39 (1997), p. 407

[51] T.L. Rhodes, et al., in: Proc. of 27th Eur. Conf. on Control. Fusion and Plasma Phys., Budapest, 2000

[52] T.L. Rhodes et al. Phys. Plasmas, 9 (2002), p. 2141

[53] G. McKee, et al., in: Proc. 19th IAEA Fusion Energy Conf., Lyon, October 2002, IAEA-CN94/EX-C4-1

[54] S.E. Parker; W.W. Lee; R.A. Santoro Phys. Rev. Lett., 71 (1993), pp. 2042-2045

[55] D. Ross et al. Phys. Plasmas, 9 (2002), p. 177

[56] U. Stroth, et al., EU–US Transport Task Force Workshop, Varenna, 2004

[57] R. Nazikian, et al., in: Proc. 17th IAEA Fusion Energy Conf., Yokohama, IAEA, Vienna, PostDeadline Paper, 1998

[58] K. Shinohara et al. Rev. Sci. Instrum., 70 (1999), p. 4246

[59] E.J. Doyle et al. Nucl. Fusion, 42 (2002), p. 333

[60] U. Frisch Turbulence: The Legacy of Kolmogorov, Cambridge Univ. Press, 1996

[61] M. Lesieur Turbulence in Fluids, Kluwer Academic Publishers, 1997

[62] R. Kraichnan Phys. Fluids, 10 (1967), p. 1417

[63] D. Fyfe; D. Montgomery Phys. Fluids, 22 (1979), p. 246

[64] A. Hasegawa; M. Wakatani Phys. Rev. Lett., 50 (1983), p. 682

[65] F. Jenko; B. Scott Phys. Plasmas, 6 (1999), p. 2418

[66] C. Honoré; D. Grésillon J. Fluid Mech., 411 (2000), p. 187

[67] F. Jenko; W. Dorland; M. Kotschenreuter; B.N. Rogers Phys. Plasmas, 7 (2000), p. 1904

[68] F.B. Labit; M. Ottaviani Phys. Plasmas, 10 (2003), p. 13

[69] F. Jenko; W. Dorland Phys. Rev. Lett., 89 (2002) (225001-1)

[70] D.G. Bulyiginskiy; A.D. Gurchenko; E.Z. Gusakov et al. Phys. Plasmas, 8 (2001), p. 2224

[71] T. Peebles, et al., in: Proc. of 31th Eur. Conf. on Control. Fusion and Plasma Phys., London, 2004

[72] E.Z. Gusakov; A.D. Gurchenko; A.B. Altukhov et al. http://eps2005.ciemat.fr (in: Proc. of 32th Eur. Conf. on Control. Fusion and Plasma Phys., Tarragona, 2005)

[73] D. Smith et al. Rev. Sci. Instrum., 75 (2004), p. 3840

[74] C. Honoré, R. Sabot, P. Hennequin, et al., in: Proc. of 25th Eur. Conf. of Plasma Phys. and Control. Fusion, vol. 22C, Prague, 1998, p. 647

[75] T. Peebles, et al., in: Proc. of the 20th IAEA Conference, Villamoura, 2004, CN 116/P6-23

[76] A. Hasegawa; K. Mima Phys. Rev. Lett., 39 (1977), p. 205

[77] D. MacDonald et al. Plasma Phys. Control. Fusion, 46 (2004), p. A215-A225

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