Control of stochasticity in magnetic field lines

Nuclear Fusion

Volumn 46, Issue 1, 2006, Pages 33-45

  Chandre, C ^a   Vittot, M ^a   Ciraolo, G ^b   Ghendrih, Ph ^b   Lima, R ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b IRFM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFUSION; HAMILTONIANS; PERTURBATION TECHNIQUES; STOCHASTIC CONTROL SYSTEMS;

HAMILTONIAN SYSTEMS; MAGNETIC PERTURBATION; STOCHASTICITY;

MAGNETIC FIELDS;

EID: 29344439393     PISSN: 00295515     EISSN: 17414326     Source Type: Journal    
DOI: 10.1088/0029-5515/46/1/004     Document Type: Article

References (46)

1. Chen G. and Dong X. 1998 From Chaos to Order (Singapore: World Scientific)
2. Gauthier D.J. 2003 Resource Letter: CC-1: controlling chaos Am. J. Phys. 71 750
3. Cary J.R. 1982 Vacuum magnetic fields with dense flux surfaces Phys. Rev. Lett. 49 276
4. Hanson J.D. and Cary J.R. 1984 Elimination of stochasticity in stellarators Phys. Fluids 27 767
5. Cary J.R. and Hanson J.D. 1986 Stochasticity reduction Phys. Fluids 29 2464
6. Hanson J.D. 1994 Correcting small magnetic field non-axisymmetries Nucl. Fusion 34 441
7. Hudson S.R. and Dewar R.L. 1997 Manipulation of islands in a heliac vacuum field Phys. Lett. A 226 85
8. Hudson S.R. and Dewar R.L. 1998 Construction of an integrable field close to any non-integrable toroidal magnetic field Phys. Lett. A 247 246
9. Spatschek K.H., Eberhard M. and Friedel H. 1998 On models for magnetic field line diffusion Phys. Mag. 2 85
10. Reiman A. et al 2001 Recent advances in the design of quasiaxisymmetric stellarator plasma configuration Phys. Plasmas 8 2083
11. Hudson S.R., Monticello D.A. and Reiman A.H. 2001 Reduction of islands in full-pressure stellarator equilibria Phys. Plasmas 8 3377
12. Hudson S.R. et al 2002 Eliminating islands in high-pressure free-boundary stellarator magnetohydrodynamic equilibrium solutions Phys. Rev. Lett. 89 275003
13. Hudson S.R. 2004 Destruction of invariant surfaces and magnetic coordinates for perturbed magnetic fields Phys. Plasmas 11 677
14. Ciraolo G. et al 2004 Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas J. Phys. A: Math. Gen. 37 3589 (Preprint nlin.CD/0402048)
15. Ciraolo G. et al 2004 Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas Phys. Rev. E 69 056213 (Preprint nlin.CD/0312037)
16. Vittot M. 2004 Perturbation theory and control in classical or quantum mechanics by an inversion formula J. Phys. A: Math. Gen. 37 6337 (Preprint nlin.CD/0303051)
17. Chandre C. et al 2005 Channeling chaos by building barriers Phys. Rev. Lett. 94 074101 (Preprint nlin.CD/0407048)
18. Samain A. 1976 Ergodization of magnetic surfaces in tokamaks Plasma Phys. 18 551
19. Chirikov B.V. 1979 A universal instability of many-dimensional oscillator systems Phys. Rep. 52 263
20. ITER Physics Expert Group on Disruptions Plasma Control MHD 1999 ITER Physics Basis - Chapter 3: MHD stability, operational limits and disruptions Nucl. Fusion 39 2251
21. Finken K.H. et al 1995 A scheme for a dynamic ergodic divertor in Textor J. Nucl. Mater. 220-222 448
22. Ciraolo G. et al 2005 Tailoring phase space: a way to control Hamiltonian chaos Europhys. Lett. 69 879 (Preprint nlin.CD/0405010)
23. Vittot M., Chandre C., Ciraolo G. and Lima R. 2005 Localized control for non-resonant Hamiltonian systems Nonlinearity 18 423 (Preprint nlin.CD/0405056)
24. Boozer A.H. 1983 Evaluation of the structure of ergodic fields Phys. Fluids 26 1288
25. Cary J.R. and Littlejohn R.G. 1983 Noncanonical Hamiltonian mechanics and its application to magnetic field line flow Ann. Phys. 151 1
26. White R.B. 1989 Theory of Tokamak Plasmas (Amsterdam: North-Holland)
27. Abdullaev S.S., Finken K.H., Kaleck A. and Spatschek K.H. 1998 Twist mapping for the dynamics of magnetic field lines in a tokamak ergodic divertor Phys. Plasmas 5 196
28. Abdullaev S.S., Finken K.H. and Spatschek K.H. 1999 Asymptotical and mapping methods in study of ergodic divertor magnetic field in a toroidal system Phys. Plasmas 6 153
29. Abdullaev S.S. 2004 On mapping models of field lines in a stochastic magnetic field Nucl. Fusion 44 S12
30. Balescu R., Vlad M. and Spineanu F. 1998 Tokamap: a Hamiltonian twist map for magnetic field lines in a toroidal geometry Phys. Rev. E 58 951
31. Misguich J. et al 2003 Noble internal transport barriers and radial subdiffusion of toroidal magnetic lines Ann. Phys. 28 1
32. Ghendrih Ph., Capes H., Nguyen F. and Samain A. 1992 Control of the edge transport with the ergodic divertor Contrib. Plasma Phys. 32 179
33. Jakubowski M.W., Abdullaev S.S. and Finken K.H. the Textor Team 2004 Modelling of the magnetic field structures and first measurements of heat fluxes for Textor-DED operation Nucl. Fusion 44 S1
34. Ghendrih Ph., Grosman A. and Capes H. 1996 Theoretical and experimental investigations of stochastic boundaries in tokamaks Plasma Phys. Control. Fusion 38 1653
35. Ghendrih Ph. 1995 Résonance du divertor ergodique Report EUR-CEA-FC-1537
36. Zabiégo M. et al 1999 Current profile control and magnetohydrodynamic stability in Tore Supra discharges with edge-plasma control by the ergodic divertor Plasma Phys. Control. Fusion 41 B129
37. Ghendrih Ph. et al 2001 Ergodic divertor experiments on the route to steady state operation of Tore Supra Nucl. Fusion 41 1401
38. Ghendrih Ph. et al 2002 Progress in ergodic divertor operation on Tore Supra Nucl. Fusion 42 1221
39. Garbet X. et al 2004 Physics of transport in tokamaks Plasma Phys. Control. Fusion 46 B557
40. Strumberger E. 1996 SOL studies for W7-X based on the island divertor concept Nucl. Fusion 36 891
41. Koniges A.E. et al 2003 Magnetic topology of a candidate NCSX plasma boundary configuration Nucl. Fusion 43 107
42. Morisaki T. et al Ergodic edge region of large helical device J. Nucl. Mater. 313-316 548
43. Antoni V., Bagatin M. and Martines E. 1992 Energy transport and magnetic stochasticity at the edge of a plasma in RFP configuration Plasma Phys. Control. Fusion 34 1639
44. Evans T.E. et al 2004 Suppression of large edge-localized modes in high-confinement DIII-D plasmas with a stochastic magnetic boundary Phys. Rev. Lett. 92 235003
45. Bécoulet M. et al 2003 Edge localized mode physics and operational aspects in tokamaks Plasma Phys. Control. Fusion 45 A93
46. Benettin G., Galgani L., Giorgilli A. and Strelcyn J.M. 1984 A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method Nuovo Cimento B 79 201