[Table of Contents]

Plasma and Fusion Research

Volume 3, S1070 (2008)

Regular Articles

Quantifying Profile Stiffness
Boudewijn Ph. VAN MILLIGEN, Raúl SÁNCHEZ1), Victor TRIBALDOS and Victor I. VARGAS
Asociación EURATOM-CIEMAT para Fusión, Avda. Complutense 22, 28040 Madrid, Spain
1)
Fusion Energy Division, Oak Ridge National Laboratory, P.O. Box 2001, Oak Ridge, TN 37831-2001, USA
(Received 13 November 2007 / Accepted 29 January 2008 / Published 1 August 2008)

Abstract

Profile stiffness is quantified using a simple technique. The approach is tested on a paradigmatic numerical stiff transport model for one field (particles). The stiffness is found to exhibit radial structure and to depend on collisionality, which might help explaining the observed lack of stiffness in stellarators, as compared to tokamaks. The extension of this approach to heat transport requires some care. A proposal for a stiffness quantifier for heat transport is presented, and tested on data from the TJ-II stellarator.

Keywords

profile stiffness, anomalous transport, critical gradient, tokamak-stellarator comparison

DOI: 10.1585/pfr.3.S1070

Full Text

PDF format (906Kbytes) PDF Download

References

  • [1] U. Stroth, Plasma Phys. Control. Fusion 40, 9 (1998).
  • [2] B. Carreras, IEEE Trans. Plasma Sci. 25, 1281 (1997).
  • [3] N. Lopes Cardozo, J. de Haas, G. Hogeweij, J. O'Rourke, A. Sips and B. Tubbing, Plasma Phys. Control. Fusion 32, 983 (1990).
  • [4] N. Lopes Cardozo, Plasma Phys. Control. Fusion 37, 799 (1995).
  • [5] F. Imbeaux, F. Ryter and X. Garbet, Plasma Phys. Control. Fusion 43, 1503 (2001).
  • [6] F. Ryter, F. Leuterer, G. Pereverzev, H.-U. Fahrbach, J. Stober, W. Suttrop and ASDEX Upgrade Team, Phys. Rev. Lett. 86, 2325 (2001).
  • [7] X. Garbet, P. Mantica, F. Ryter, G. Cordey, F. Imbeaux, C. Sozzi, A. Manini, E. Asp, V. Parail, R. Wolf et al., Plasma Phys. Control. Fusion 46, 1351 (2004).
  • [8] X. Garbet, P. Mantica, C. Angioni, E. Asp, Y. Baranov, C. Bourdelle, R. Budny, F. Crisanti, G. Cordey, L. Garzotti et al. Plasma Phys. Control. Fusion 46, B557 (2004).
  • [9] F. Ryter, Y. Camenen, J. DeBoo, F. Imbeaux, P. Mantica, G. Regnoli, C. Sozzi, U. Stroth and ASDEX Upgrade, DIIID, FTU, JET-EFDA contributors, TCV, Tore Supra and W7-AS Teams, Plasma Phys. Control. Fusion 48, B453 (2006).
  • [10] P. Mantica and F. Ryter, Comptes Rendus Physique 7, 634 (2006).
  • [11] B. Carreras, V. Lynch, P. Diamond and M. Medvedev, Phys. Plasmas 5, 1206 (1998).
  • [12] E. Montroll and G. Weiss, J. Math. Phys. 6, 167 (1965).
  • [13] R. Balescu, Phys. Rev. E 51, 4807 (1995).
  • [14] B. van Milligen, R. Sánchez and B. Carreras, Phys. Plasmas 11, 2272 (2004).
  • [15] B. van Milligen, B. Carreras and R. Sánchez, Phys. Plasmas 11, 3787 (2004).
  • [16] B. van Milligen, P. Bons, B. Carreras and R. Sánchez, Eur. J. Phys. 26, 913 (2005).
  • [17] R. Sánchez, B. Carreras and B. van Milligen, Phys. Rev. E 71, 011111 (2005).
  • [18] R. Sánchez, B. van Milligen and B. Carreras, Phys. Plasmas 12, 056105 (2005).
  • [19] J. Gavnholt, J. Rasmussen, O. Garcia, V. Naulin and A. Nielsen, Phys. Plasmas 12, 084501 (2005).
  • [20] B. van Milligen, B. Carreras, V. Lynch and R. Sánchez, Nucl. Fusion 47, 189 (2007).
  • [21] X. Garbet, N. Dubuit, E. Asp, Y. Sarazin, C. Bourdelle, P. Ghendrih and G. Hoang, Phys. Plasmas 12, 082511 (2005).
  • [22] C. Barth, F. Pijper, H. van der Meiden, J. Herranz and I. Pastor, Rev. Sci. Instrum. 70, 763 (1999).
  • [23] V. Vargas, D. López-Bruna, J. Herranz and F. Castejón, Nucl. Fusion 47, 1367 (2007).

This paper may be cited as follows:

Boudewijn Ph. VAN MILLIGEN, Raúl SÁNCHEZ, Victor TRIBALDOS and Victor I. VARGAS, Plasma Fusion Res. 3, S1070 (2008).