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No Access Submitted: 07 August 2009 Accepted: 08 December 2009 Published Online: 14 January 2010

Recurrence quantification analysis of turbulent fluctuations in the plasma edge of Tokamak Chauffage Alfvén Brésilien tokamak

Physics of Plasmas 17, 012303 (2010); https://doi.org/10.1063/1.3280010
Z. O. Guimarães-Filho1, a), I. L. Caldas1, R. L. Viana2, b), I. C. Nascimento1, Yu. K. Kuznetsov1, and J. Kurths3
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ABSTRACT
Recurrences are close returns of a given state in a time series, and can be used to identify different dynamical regimes and other related phenomena, being particularly suited for analyzing experimental data. In this work, we use recurrence quantification analysis to investigate dynamical patterns in scalar data series obtained from measurements of floating potential and ion saturation current at the plasma edge of the Tokamak Chauffage Alfvén Brésilien [R. M. O. Galvão et al., Plasma Phys. Controlled Fusion 43, 1181 (2001)]. We consider plasma discharges with and without the application of radial electric bias, and also with two different regimes of current ramp. Our results indicate that biasing improves confinement through destroying highly recurrent regions within the plasma column that enhance particle and heat transport.

ACKNOWLEDGMENTS

This work was made possible with partial financial help from FAPESP, CNPq, Fundação Araucária, CAPES, FINEP-RNP (Brazilian Fusion Network), and Contract No. SFB 555 (DFG), Université de Provence and PACA (Provence Alpes Côte d'Azur) Region. Z.O.G.-F. is the recipient of a bourse d'accueil de la Ville de Marseille.

REFERENCES
Section:
Previous sectionNext section

  1. 1. W. Horton, Rev. Mod. Phys. 71, 735 (1999). https://doi.org/10.1103/RevModPhys.71.735, Google ScholarCrossref
  2. 2. A. J. Wootton, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, Ch. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990). https://doi.org/10.1063/1.859358, Google ScholarScitation, ISI
  3. 3. C. Hidalgo, C. Alejaldre, A. Alonso, J. Alonso, L. Almoguera, F. de Aragón, E. Ascasíbar, A. Baciero, R. Balbín, E. Blanco, J. Botija, B. Brañas, E. Calderón, A. Cappa, J. A. Carmona, R. Carrasco, F. Castejón, J. R. Cepero, A. A. Chmyga, J. Doncel, N. B. Dreval, S. Eguilior, L. Eliseev, T. Estrada, J. A. Ferreira, A. Fernández, J. M. Fontdecaba, C. Fuentes, A. García, I. García-Cortés, B. Gonçalves, J. Guasp, J. Herranz, A. Hidalgo, R. Jiménez, J. A. Jiménez, D. Jiménez-Rey, I. Kirpitchev, S. M. Khrebtov, A. D. Komarov, A. S. Kozachok, L. Krupnik, F. Lapayese, M. Liniers, D. López-Bruna, A. López-Fraguas, J. López-Rázola, A. López-Sánchez, E. de la Luna, G. Marcon, R. Martín, K. J. McCarthy, F. Medina, M. Medrano, A. V. Melnikov, P. Méndez, B. van Milligen, I. S. Nedzelskiy, M. Ochando, O. Orozco, J. L. de Pablos, L. Pacios, I. Pastor, M. A. Pedrosa, A. de la Peña, A. Pereira, A. Petrov, S. Petrov, A. Portas, D. Rapisarda, L. Rodríguez-Rodrigo, E. Rodríguez-Solano, J. Romero, A. Salas, E. Sánchez, J. Sánchez, M. Sánchez, K. Sarksian, C. Silva, S. Schchepetov, N. Skvortsova, F. Tabarés, D. Tafalla, A. Tolkachev, V. Tribaldos, I. Vargas, J. Vega, G. Wolfers, and B. Zurro, Nucl. Fusion 45, S266 (2005). https://doi.org/10.1088/0029-5515/45/10/S22, Google ScholarCrossref
  4. 4. A. J. Wootton, M. E. Austin, R. D. Bengtson, J. A. Boedo, R. V. Bravenec, D. L. Brower, J. Y. Chen, G. Cima, P. H. Diamond, R. D. Durst, P. H. Edmonds, S. P. Fan, M. S. Foster, J. C. Forster, R. Gandy, K. W. Gentle, R. L. Hickok, Y. X. Hey, S. K. Kim, Y. J. Kim, H. Lin, N. C. Luhmann, S. C. McCool, W. H. Miner, A. Ouroua, D. M. Patterson, W. A. Peebles, P. E. Phillips, B. Richards, C. P. Ritz, T. L. Rhodes, D. W. Ross, W. L. Rowan, P. M. Schoch, D. Sing, E. J. Synakowski, P. W. Terry, K. W. Wenzel, J. C. Wiley, X. Z. Yang, X. H. Yu, Z. Zhang, and S. B. Zheng, Plasma Phys. Controlled Fusion 30, 1479 (1988). https://doi.org/10.1088/0741-3335/30/11/010, Google ScholarCrossref
  5. 5. M. Baptista, I. L. Caldas, M. V. A. P. Heller, and A. A. Ferreira, Phys. Plasmas 10, 1283 (2003). https://doi.org/10.1063/1.1561612, Google ScholarScitation
  6. 6. P. J. Morrison and B. A. Shadwick, Commun. Nonlinear Sci. Numer. Simul. 13, 130 (2008). https://doi.org/10.1016/j.cnsns.2007.04.005, Google ScholarCrossref
  7. 7. B. N. Kuvshinov and T. J. Schep, Phys. Rev. Lett. 84, 650 (2000). https://doi.org/10.1103/PhysRevLett.84.650, Google ScholarCrossref
  8. 8. Y. Xu, R. R. Weynants, S. Jachmich, M. Van Schoor, M. Vergote, P. Peleman, M. W. Jakubowski, M. Mitri, D. Reiser, B. Unterberg, and K. H. Finken, Phys. Rev. Lett. 97, 165003 (2006). https://doi.org/10.1103/PhysRevLett.97.165003, Google ScholarCrossref
  9. 9. N. Marwan and J. Kurths, Phys. Lett. A 302, 299 (2002). https://doi.org/10.1016/S0375-9601(02)01170-2, Google ScholarCrossref
  10. 10. Z. O. Guimarães-Filho, I. L. Caldas, R. L. Viana, J. Kurths, I. C. Nascimento, and Yu. K. Kuznetsov, Phys. Lett. A 372, 1088 (2008). https://doi.org/10.1016/j.physleta.2007.07.088, Google ScholarCrossref
  11. 11. J. P. Eckmann, S. O. Kamphorst, and D. Ruelle, Europhys. Lett. 4, 973 (1987). https://doi.org/10.1209/0295-5075/4/9/004, Google ScholarCrossref
  12. 12. M. Casdagli, Physica D 108, 12 (1997). https://doi.org/10.1016/S0167-2789(97)82003-9, Google ScholarCrossref
  13. 13. C. L. Webber and J. P. Zbilut, J. Appl. Physiol. 76, 965 (1994). Google ScholarCrossref
  14. 14. N. Marwan, M. H. Trauth, M. Vuille, and J. Kurths, Clim. Dyn. 21, 317 (2003). https://doi.org/10.1007/s00382-003-0335-3, Google ScholarCrossref
  15. 15. J. A. Hołyst, M. Zebrowska, and K. Urbanowicz, Eur. Phys. J. B 20, 531 (2001). https://doi.org/10.1007/PL00011109, Google ScholarCrossref
  16. 16. J. Kurths, U. Schwarz, C. P. Sonett, and U. Parlitz, Nonlinear Processes Geophys. 1, 72 (1994); Google ScholarCrossref
    N. Marwan, M. Thiel, and N. R. Nowaczyk, Nonlinear Processes Geophys. 9, 325 (2002). , Google ScholarCrossref
  17. 17. N. Marwan, N. Wessel, U. Meyerfeldt, A. Schirdewan, and J. Kurths, Phys. Rev. E 66, 026702 (2002). https://doi.org/10.1103/PhysRevE.66.026702, Google ScholarCrossref
  18. 18. T. K. March, S. C. Chapman, and R. O. Dendy, Geophys. Res. Lett. 32, L04101, doi:10.1029/2004GL021677 (2005) https://doi.org/10.1029/2004GL021677; Google ScholarCrossref
    T. K. March, S. C. Chapman, and R. O. Dendy,Physica D 200, 171 (2005). https://doi.org/10.1016/j.physd.2004.11.002, , Google ScholarCrossref
  19. 19. R. O. Dendy and S. C. Chapman, Plasma Phys. Controlled Fusion 48, B313 (2006). https://doi.org/10.1088/0741-3335/48/12B/S30, Google ScholarCrossref
  20. 20. R. M. O. Galvão, V. Bellintani, Jr., R. D. Bengtson, A. G. Elfimov, J. I. Elizondo, A. N. Fagundes, A. A. Ferreira, A. M. M. Fonseca, Yu. K. Kuznetsov, E. A. Lerche, I. C. Nascimento, L. F. Ruchko, W. P. de Sá, E. A. Saettone, E. K. Sanada, J. H. F. Severo, R. P. da Silva, V. S. Tsypin, O. C. Usuriaga, and A. Vannucci, Plasma Phys. Controlled Fusion 43, A299 (2001). https://doi.org/10.1088/0741-3335/43/12A/323, Google ScholarCrossref
  21. 21. A. A. Ferreira, M. V. A. P. Heller, I. L. Caldas, E. A. Lerche, L. F. Ruchko, and L. A. Baccalá, Plasma Phys. Controlled Fusion 46, 669 (2004). https://doi.org/10.1088/0741-3335/46/4/007, Google ScholarCrossref
  22. 22. W. Horton and A. Hasegawa, Chaos 4, 227 (1994). https://doi.org/10.1063/1.166049, Google ScholarScitation
  23. 23. G. Z. dos Santos Lima, Z. O. Guimarães-Filho, I. L. Caldas, I. C. Nascimento, Yu. K. Kuznetsov, A. M. Batista, S. R. Lopes, and R. L. Viana, Phys. Plasmas 16, 042508 (2009). https://doi.org/10.1063/1.3099701, Google ScholarScitation
  24. 24. I. C. Nascimento, Y. K. Kuznetsov, J. H. F. Severo, A. M. M. Fonseca, A. Elfimov, V. Bellintani, M. Machida, M. V. A. P. Heller, R. M. O. Galvão, E. K. Sanada, and J. I. Elizondo, Nucl. Fusion 45, 796 (2005). https://doi.org/10.1088/0029-5515/45/8/005, Google ScholarCrossref
  25. 25. I. C. Nascimento, Yu. K. Kuznetsov, Z. O. Guimarães-Filho, I. El Chamaa-Neto, O. Usuriaga, A. M. M. Fonseca, R. M. O. Galvo, I. L. Caldas, J. H. F. Severo, I. B. Semenov, C. Ribeiro, M. V. A. P. Heller, V. Bellintani, J. I. Elizondo, and E. Sanada, Nucl. Fusion 47, 1570 (2007). https://doi.org/10.1088/0029-5515/47/11/019, Google ScholarCrossref
  26. 26. F. Takens, in Dynamical Systems and Turbulence, Warwick 1980, Vol. 898, edited by D. A. Rand and L. S. Young (Springer-Verlag, Berlin, 1981). Google Scholar
  27. 27. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, 1997). Google Scholar
  28. 28. F. M. Atay and Y. Altintas, Phys. Rev. E 59, 6593 (1999). https://doi.org/10.1103/PhysRevE.59.6593, Google ScholarCrossref
  29. 29. M. Thiel, M. C. Romano, and J. Kurths, Phys. Lett. A 330, 343 (2004). https://doi.org/10.1016/j.physleta.2004.07.050, Google ScholarCrossref
  30. 30. J. P. Zbilut and C. L. Webber, Jr., Phys. Lett. A 171, 199 (1992). https://doi.org/10.1016/0375-9601(92)90426-M, Google ScholarCrossref
  31. 31. N. Marwan, M. C. Romano, M. Thiel, and J. Kurths, Phys. Rep. 438, 237 (2007). https://doi.org/10.1016/j.physrep.2006.11.001, Google ScholarCrossref
  32. 32. Freely available software for obtaining RPs and performing RQA is listed in http://www.recurrence-plot.tk/programmes.php. Google Scholar
  33. 33. L. L. Trulla, A. Giuliani, J. P. Zbilut, and C. L. Webber, Jr., Phys. Lett. A 223, 255 (1996). https://doi.org/10.1016/S0375-9601(96)00741-4, Google ScholarCrossref
  34. 34. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1992). Google Scholar
  35. 35. S. J. Camargo, B. D. Scott, and D. Biskamp, Phys. Plasmas 3, 3912 (1996). https://doi.org/10.1063/1.871580, Google ScholarScitation
  36. 36. A. Hasegawa and M. Wakatani, Phys. Rev. Lett. 50, 682 (1983). https://doi.org/10.1103/PhysRevLett.50.682, Google ScholarCrossref
  37. 37. C. Rodrigues Neto, Z. O. Guimaraes-Filho, I. L. Caldas, I. C. Nascimento, and Yu. K. Kuznetsov, Phys. Plasmas 15, 082311 (2008). https://doi.org/10.1063/1.2973175, Google ScholarScitation
  38. 38. S. Schinkel, N. Marwan, O. Dimyer, and J. Kurths, Phys. Lett. A 373, 2245 (2009). https://doi.org/10.1016/j.physleta.2009.04.045, Google ScholarCrossref
  39. 39. M. J. Schaffer, J. E. Menard, M. P. Aldan, J. M. Bialek, T. E. Evans, and R. A. Moyer, Nucl. Fusion 48, 024004 (2008). https://doi.org/10.1088/0029-5515/48/2/024004, Google ScholarCrossref
  40. 40. K. H. Finken, T. E. Evans, D. Reiter, K. H. Spatschek, and W. Suttrop, Nucl. Fusion 48, 024001 (2008). https://doi.org/10.1088/0029-5515/48/2/024001, Google ScholarCrossref
  41. 41. S. E. Sharapov, F. M. Poli, and JET-EFDA Contributors, in 35th EPS Conference on Plasma Physics, Europhysics Conference Abstracts Vol. 32D, Hersonissos, 2008, edited by P. Lalousis and S. Moustaizis (European Physical Society, Lausanne, 2008), p. 4–071. Google Scholar
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