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Recent theoretical progress in understanding coherent structures in edge and SOL turbulence

Published online by Cambridge University Press:  01 October 2008

S. I. KRASHENINNIKOV ,
D. A. D'IPPOLITO  and
J. R. MYRA
S. I. KRASHENINNIKOV
Affiliation:
University of California, San Diego, CA, USA
D. A. D'IPPOLITO
Affiliation:
Lodestar Research Corporation, 2400 Central Avenue, Boulder, CO, USA ([email protected])
J. R. MYRA
Affiliation:
Lodestar Research Corporation, 2400 Central Avenue, Boulder, CO, USA ([email protected])
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Abstract

In this paper we review some theoretical aspects of the dynamics of the mesoscale filaments extending along the magnetic field lines in the edge plasma, which are often called ‘blobs’. We start with a brief historical survey of experimental data and the main ideas on edge and SOL plasma transport, which finally evolved into the modern paradigm of convective very-intermittent cross-field edge plasma transport. We show that both extensive analytic treatments and numerical simulations demonstrate that plasma blobs with enhanced pressure can be convected coherently towards the wall. The mechanism of convection is related to an effective gravity force (e.g. owing to magnetic curvature effects), which causes plasma polarization and a corresponding E× B convection. The impacts of different effects (e.g. X-point magnetic geometry, plasma collisionality, plasma beta, etc.) on blob dynamics are considered. Theory and simulation predict, both for current tokamaks and for ITER, blob propagation speeds and cross-field sizes to be of the order of a few hundred meters per second and a centimeter, respectively, which are in reasonable agreement with available experimental data. Moreover, the concept of blobs as a fundamental entity of convective transport in the scrape-off layer provides explanations for observed outwards convective transport, intermittency and non-Gaussian statistics in edge plasmas, and enhanced wall recycling in both toroidal and linear machines.

Type
Review Article
Information
Journal of Plasma Physics , Volume 74 , Issue 5 , October 2008 , pp. 679 - 717
Copyright
Copyright © Cambridge University Press 2008

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References

[1]Loarte, A. et al. , ITER Physics Basis, Chapter 4: Power and particle control. 1999 Nucl. Fusion 39, 2391.Google Scholar
[2]Krasheninnikov, S. I. et al. 1997 Phys. Plasmas 4, 1638.CrossRefGoogle Scholar
[3]Goodall, D. H. J. 1982 J. Nucl. Mater. 111–112, 11.CrossRefGoogle Scholar
[4]Zweben, S. J. 1985 Phys. Fluids 28, 974.CrossRefGoogle Scholar
[5]Terry, J. L. et al. 2003 Phys. Plasmas 10, 1739.CrossRefGoogle Scholar
[6]Liewer, P. C. 1985 Nucl. Fusion 25, 543.CrossRefGoogle Scholar
[7]Wootton, A. J. et al. 1990 Phys. Fluids B 2, 2879.CrossRefGoogle Scholar
[8]Endler, M. 1999 J. Nucl. Mater. 266–269, 84.CrossRefGoogle Scholar
[9]Hidalgo, C. 1995 Plasma Phys. Control. Fusion 37, A53.CrossRefGoogle Scholar
[10]Neuhauser, J. et al. 1989 Plasma Phys. Control. Fusion 31, 1551.CrossRefGoogle Scholar
[11]Matthews, G. F. 1995 J. Nucl. Mater. 220–222, 104.CrossRefGoogle Scholar
[12]Asakura, N., Koide, Y. and Itami, K. 1995 J. Nucl. Mater. 220–222, 104.Google Scholar
[13]Umansky, M. V., Krasheninnikov, S. I., LaBombard, B. and Terry, J. L. 1998 Phys. Plasmas 5, 3373.CrossRefGoogle Scholar
[14]Krasheninnikov, S. I. 1998 Czech. J. Phys. 48 (Suppl. S2), 97.CrossRefGoogle Scholar
[15]Rudakov, D. L. et al. 2002 Plasma Phys. Control. Fusion 44, 717.CrossRefGoogle Scholar
[16]Krasheninnikov, S. I. 2001 Phys. Lett. A 283, 368.CrossRefGoogle Scholar
[17]D'Ippolito, D. A., Myra, J. R. and Krasheninnikov, S. I. 2002 Phys. Plasmas 9, 222.CrossRefGoogle Scholar
[18]Kunkel, W. B. and Guillory, J. U. 1965 Proc. 7th Conf. on Phenomena in Ionized Gases, Belgrade, 1996, Vol. II (ed. Perovic, B. and Tocsic, D.). Belgrade: Gradjevinska Knjiga, p. 702.Google Scholar
[19]Kadomtsev, B. B. 1965 Proc. 7th Conf. on Phenomena in Ionized Gases, Belgrade, 1996, Vol. II (ed. Perovic, B. and Tocsic, D.). Belgrade: Gradjevinska Knjiga, p. 610.Google Scholar
[20]D'Ippolito, D. A., Myra, J. R., Krasheninnikov, S. I., Yu, G. Q. and Pigarov, A. Yu. 2004 Contrib. Plasma Phys. 44, 205.CrossRefGoogle Scholar
[21]Krasheninnikov, S. I., Smolyakov, A. I., Yu, G. and Soboleva, T. K. 2005 Czech. J. Phys. 55, 307.CrossRefGoogle Scholar
[22]Krasheninnikov, S. I. et al. 2003 Proc. 19th IAEA Fusion Energy Conference, Lyon, France, 2002. Vienna: International Atomic Energy Agency, paper IAEA-CN-94/TH/4-1.Google Scholar
[23]Garcia, O. E., Horacek, J., Pitts, R. A., Nielsen, A. H., Fundamenski, W., Graves, J. P., Naulin, V. and Rasmussen, J. J. 2006 Plasma Phys. Control. Fusion 48, L1–L10.CrossRefGoogle Scholar
[24]Myra, J. R., D'Ippolito, D. A., Stotler, D. P., Zweben, S. J., LeBlanc, B. P., Menard, J. E., Maqueda, R. J. and Boedo, J. 2006 Phys. Plasmas 13, 092509.CrossRefGoogle Scholar
[25]Nedospasov, A. V. 1989 Sov. J. Plasma Phys. 15, 659.Google Scholar
[26]Garbet, X., Laurent, L., Roubin, J.-P. and Samain, A. 1991 Nucl. Fusion 31, 967.CrossRefGoogle Scholar
[27]Benkadda, S., Garbet, X. and Verga, A. 1994 Contrib. Plasma Phys. 34, 247.CrossRefGoogle Scholar
[28]Benkadda, S. et al. 1994 Phys. Rev. Lett. 73, 3403.CrossRefGoogle Scholar
[29]Sarazin, Y. and Ghendrih, Ph. 1998 Phys. Plasmas 5, 4214.CrossRefGoogle Scholar
[30]Bak, P., Tang, C. and Wiesenfeld, K. 1987 Phys. Rev. Lett. 59, 381.CrossRefGoogle Scholar
[31]Diamond, P. H. and Hahm, T. S. 1995 Phys. Plasmas 2, 3640.CrossRefGoogle Scholar
[32]Newman, D. E., Carreras, B. A., Diamond, P. H. and Hahm, T. S. 1996 Phys. Plasmas 3, 1858.CrossRefGoogle Scholar
[33]Rozhansky, V., Veselova, I. and Voskoboynikov, S. 1995 Plasma Phys. Control. Fusion 37, 399.CrossRefGoogle Scholar
[34]Parks, P. B., Sessions, W. D. and Baylor, L. R. 2000 Phys. Plasmas 7, 1968.CrossRefGoogle Scholar
[35]Carreras, B. A. 2005 J. Nucl. Mater. 337–339, 315.CrossRefGoogle Scholar
[36]Zweben, S. J., Boedo, J. A., Grulke, O., Hidalgo, C., LaBombard, B., Maqueda, R. J., Scarin, P. and Terry, J. L. 2007 Plasma Phys. Control. Fusion 49, S1.CrossRefGoogle Scholar
[37]Cohen, R. H. and Ryutov, D. D. 2006 Contrib. Plasma Phys. 46, 678.CrossRefGoogle Scholar
[38]Krasheninnikov, S. I. and Smolyakov, A. I. 2003 Phys. Plasmas 10, 3020.CrossRefGoogle Scholar
[39]Krasheninnikov, S. I., Smolyakov, A. I. and Soboleva, T. K. 2005 Phys. Plasmas 12, 072502.CrossRefGoogle Scholar
[40]Ryutov, D. D. 2006 Phys. Plasmas 13, 122307.CrossRefGoogle Scholar
[41]Myra, J. R. et al. 2007 Plasma Physics and Controlled Nuclear Fusion Research 2006. Vienna: IAEA, paper IAEA-CN-149-TH/P6-21.Google Scholar
[42]Yu, G. Q., Krasheninnikov, S. I. and Guzdar, P. N. 2006 Phys. Plasmas 13, 042508.CrossRefGoogle Scholar
[43]Myra, J. R., D'Ippolito, D. A., Krasheninnikov, S. I. and Yu, G. Q. 2004 Phys. Plasmas 11, 4267.CrossRefGoogle Scholar
[44]Berk, H., Ryutov, D. D. and Tsidulko, Yu. A. 1990 JETP Lett. 52, 23.Google Scholar
[45]Krasheninnikov, S. I., Ryutov, D. D. and Yu, G. 2004 J. Plasma Fusion Res. 6, 139.Google Scholar
[46]Myra, J. R. and D'Ippolito, D. A. 2005 Phys. Plasmas 12, 092511.CrossRefGoogle Scholar
[47]Myra, J. R., Russell, D. A. and D'Ippolito, D. A. 2006 Phys. Plasmas 13, 112502.CrossRefGoogle Scholar
[48]Farina, D., Pozzoli, R. and Ryutov, D. D. 1993 Nucl. Fusion 33, 1315.CrossRefGoogle Scholar
[49]Ryutov, D. D. and Cohen, R. H. 2004 Contrib. Plasma Phys. 44, 168.CrossRefGoogle Scholar
[50]Russell, D. A., D'Ippolito, D. A., Myra, J. R., Nevins, W. M. and Xu, X. Q. 2004 Phys. Rev. Lett. 93, 265001.CrossRefGoogle Scholar
[51]Garcia, O. E., Bian, N. H., Naulin, V., Nielsen, A. H. and Rasmussen, J. J. 2005 Phys. Plasmas 12, 090701.CrossRefGoogle Scholar
[52]Fundamenski, W. et al. 2007 Nucl. Fusion 47, 417.CrossRefGoogle Scholar
[53]Garcia, O., Naulin, V., Nielsen, A. H. and Rasmussen, J. J. 2005 Phys. Plasmas 12, 062309.CrossRefGoogle Scholar
[54]Garcia, O., Bian, N. H. and Fundamenski, W. 2006 Phys. Plasmas 13, 082309.CrossRefGoogle Scholar
[55]Bian, N., Benkadda, S., Paulsen, J.-V. and Garcia, O. E. 2003 Phys. Plasmas 10, 671.CrossRefGoogle Scholar
[56]D'Ippolito, D. A. and Myra, J. R. 2003 Phys. Plasmas 10, 4029.CrossRefGoogle Scholar
[57]Yu, G. Q. and Krasheninnikov, S. I. 2003 Phys. Plasmas 10, 4413.CrossRefGoogle Scholar
[58]Aydemir, A. Y. 2005 Phys. Plasmas 12, 062503.CrossRefGoogle Scholar
[59]Garcia, O., Bian, N. H. and Fundamenski, W. 2006 Phys. Plasmas 13, 082309.CrossRefGoogle Scholar
[60]Tomkins, C. et al. 2003 Phys. Fluids 15, 986.CrossRefGoogle Scholar
[61]Sudan, R. N., Gruzinov, A. V., Horton, W. and Kukharkin, N. 1997 Phys. Rep. 283, 95.CrossRefGoogle Scholar
[62]Carter, T. A. 2006 Phys. Plasmas 13, 010701.CrossRefGoogle Scholar
[63]Rudakov, D. L. 2005 Nucl. Fusion 45, 1589.CrossRefGoogle Scholar
[64]Boedo, J. A. et al. 2003 Phys. Plasmas 10, 1670.CrossRefGoogle Scholar
[65]D'Ippolito, D. A., Myra, J. R., Russell, D. A. and Yu, G. Q. 2004 Phys. Plasmas 11, 4603.CrossRefGoogle Scholar
[66]Myra, J. R., D'Ippolito, D. A., Xu, X. Q. and Cohen, R. H. 2000 Phys. Plasmas 7, 2290.CrossRefGoogle Scholar
[67]Myra, J. R., D'Ippolito, D. A., Xu, X. Q. and Cohen, R. H. 2000 Phys. Plasmas 7, 4622.CrossRefGoogle Scholar
[68]Xu, X. Q., Cohen, R. H., Rognlien, T. D. and Myra, J. R. 2000 Phys. Plasmas 7, 1951.CrossRefGoogle Scholar
[69]Myra, J. R. 2007 Phys. Plasmas 14, 102314.CrossRefGoogle Scholar
[70]Umansky, M. V., Rognlien, T. D., Xu, X. Q., Cohen, R. H. and Nevins, W. M. 2004 Contrib. Plasma Phys. 44, 182.CrossRefGoogle Scholar
[71]Russell, D. A., Myra, J. R. and D'Ippolito, D. A. 2007 Phys. Plasmas 14, 102307.CrossRefGoogle Scholar
[72]Cohen, R. H., LaBombard, B., LoDestro, L. L., Rognlien, T. D., Ryutov, D. D., Terry, J. L., Umansky, M. V., Xu, X. Q. and Zweben, S. 2006 Fluid simulations and theory of boundary plasma fluctuations. Plasma Physics and Controlled Nuclear Fusion Research 2006. Vienna: IAEA, paper IAEA-CN-149-TH/P6-25.Google Scholar
[73]Cohen, R. H., LaBombard, B., Ryutov, D. D., Terry, J. L., Umansky, M. V., Xu, X. Q. and Zweben, S. 2007 Nucl. Fusion 47, 612.CrossRefGoogle Scholar
[74]Cohen, R. H. and Ryutov, D. D. 2005 Plasma Phys. Control. Fusion 47, 1187.CrossRefGoogle Scholar
[75]Endler, M., Niedermeyer, H., Giannone, L., Holzhauer, E., Rudyj, A., Theimer, G., Tsois, N. and the ASDEX Team 1995 Nucl. Fusion 35, 1307.CrossRefGoogle Scholar
[76]Grulke, O., Terry, J. L., LaBombard, B. and Zweben, S. J. 2006 Phys. Plasmas 13, 012306.CrossRefGoogle Scholar
[77]Zweben, S. J. et al. 2006 Phys. Plasmas 13, 056114.CrossRefGoogle Scholar
[78]Xu, X. Q., Nevins, W. M., Cohen, R. H., Myra, J. R. and Snyder, P. B. 2002 New J. Phys. 4, 53.CrossRefGoogle Scholar
[79]Ishiguro, S. and Hasegawa, H. 2006 J. Plasma Phys. 72, 1233.CrossRefGoogle Scholar
[80]Scott, B. D. 2007 Plasma Phys. Control. Fusion 49, S25CrossRefGoogle Scholar
[81]Garcia, O. E., Horacek, J., Pitts, R. A., Nielsen, A. H., Fundamenski, W., Naulin, V. and Rasmussen, J. J. 2007 Nucl. Fusion 47, 667.CrossRefGoogle Scholar
[82]Antar, G., Counsell, G., Yu, Y., Labombard, B. and Devynck, P. 2003 Phys. Plasmas 10, 419.CrossRefGoogle Scholar
[83]Xu, X. Q. et al. 2003 Phys. Plasmas 10, 1773.CrossRefGoogle Scholar
[84]Furno, I. et al. 2007 Mechanism for plasma blob generation from drift-interchange waves. Phys. Rev. Lett. (submitted).Google Scholar
[85]Connor, J. W. 1998 Plasma Phys. Controlled Fusion 40, 531.CrossRefGoogle Scholar
[86]Wilson, H. R. and Cowley, S. C. 2004 Phys. Rev. Lett. 92, 175006.CrossRefGoogle Scholar
[87]Snyder, P. B., Wilson, H. R. and Xu, X. Q. 2005 Phys. Plasmas 12, 056115.CrossRefGoogle Scholar
[88]Kirnev, G. S. et al. 2004 Plasma Phys. Control. Fusion 46, 621.CrossRefGoogle Scholar
[89]Gunn, J. P. et al. 2007 J. Nucl. Mater. 363–365, 484.CrossRefGoogle Scholar
[90]Graves, J. P., Horacek, J., Pitts, R. A. and Hopcraft, K. I. 2005 Plasma Phys. Control. Fusion 47, L1 2005.Google Scholar
[91]Krasheninnikov, S. I. and Smolyakov, A. I. 2007 Phys. Plasmas 14, 102503.CrossRefGoogle Scholar
[92]D'Ippolito, D. A. and Myra, J. R. 2006 Phys. Plasmas 13, 062503.CrossRefGoogle Scholar
[93]LaBombard, B. et al. 2005 Nucl. Fusion 45, 1658.CrossRefGoogle Scholar
[94]Scott, B. 1997 Plasma Phys. Control. Fusion 39, 1635.CrossRefGoogle Scholar
[95]Rogers, B. N., Drake, J. F. and Zeiler, A. 1998 Phys. Rev. Lett. 81, 4396.CrossRefGoogle Scholar
[96]Rogers, B. N. and Drake, J. F. 1997 Phys. Rev. Lett. 79, 229.CrossRefGoogle Scholar
[97]Coppi, B. et al. 2006 Incentives for and developments of the accretion theory of spontaneous rotation. Proc. 33rd EPS Conference on Plasma Physics, 19–23 June 2006, Rome, Italy, perper O-4.017.Google Scholar
[98]Diamond, P. H., Itoh, S.-I., Itoh, K. and Hahm, T. S. 2005 Plasma Phys. Control. Fusion 47, R35.CrossRefGoogle Scholar
[99]Garcia, O. E., Naulin, V., Nielsen, A. H. and Rasmussen, J. J. 2004 Phys. Rev. Lett. 92, 165003.CrossRefGoogle Scholar
[100]Garcia, O. E., Bian, N. H., Paulsen, J.-V., Benkadda, S. and Rypdal, K. 2003 Plasma Phys. Control. Fusion 45, 919.CrossRefGoogle Scholar
[101]Bisai, N., Das, A., Deshpande, S., Jha, R., Kaw, P., Sen, A. and Singh, R. 2005 Phys. Plasmas 12, 102515.CrossRefGoogle Scholar
[102]Rognlien, T. D. et al. 1992 J. Nucl. Mater. 196–198, 34.Google Scholar
[103]Schneider, R., Bonnin, X., Borrass, K., Coster, D. P., Kastelewicz, H., Reiter, D., Rozhansky, V. A. and Braams, B. J. 2006 Contrib. Plasma Phys. 46, 3.CrossRefGoogle Scholar
[104]Pigarov, A. Yu., Krasheninnikov, S. I., Rognlien, T. D., Schaffer, M. J. and West, W. P. 2002 Phys. Plasmas 9, 1287.CrossRefGoogle Scholar
[105]Pigarov, A. Yu., Krasheninnikov, S. I., Rognlien, T. D., West, W. P., LaBombard, B., Lipschultz, B., Maingi, R. and Soukhanovskii, V. 2004 Contrib. Plasma Phys. 44, 228.CrossRefGoogle Scholar
[106]Pigarov, A. Yu., Hollmann, E. M., Krasheninnikov, S. I., Rognlien, T. D. and West, W. P. 2005 J. Nucl. Mater. 337–339, 371.CrossRefGoogle Scholar
[107]Milora, S. L., Houlberg, W. A., Lengyel, L. L. and Mertens, V. 1995 Nucl. Fusion 35, 657.CrossRefGoogle Scholar
[108]Veselova, I. Yu. and Rozhansky, V. A. 1991 Sov. J. Plasma Phys. 17, 817.Google Scholar
[109]Parks, P. B. 1992 Nucl. Fusion 32, 2137.CrossRefGoogle Scholar
[110]Lang, T., Zohm, H., Buchl, K., Fuchs, J. C., Gehre, O., Gruber, O., Mertens, V., Muller, H. W., Neuhauser, J., Asdex Upgrade and NBI Teams 1996 Nucl. Fusion 36 1531.CrossRefGoogle Scholar
[111]Durst, R. D., Rowan, W. I., Austin, M. E., Collins, R. I., Gandy, R. F., Phillips, P. E. and Richards, B. 1990 Nucl. Fusion 30, 3.CrossRefGoogle Scholar
[112]Lang, P. T., Buchl, K., Kaufmann, M., Lang, R. S., Mertens, V., Muller, H. W., Neuhauser, J., ASDEX Upgrade and NBI Teams 1997 Phys. Rev. Lett. 79, 1487.CrossRefGoogle Scholar