Influence of stochastic magnetic fields on relativistic electrons

Nuclear Fusion

Volumn 46, Issue 11, 2006, Pages 941-952

  Wingen, A ^a   Abdullaev, S S ^b   Finken, K H ^b   Jakubowski, M ^b   Spatschek, K H ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; CONFORMAL MAPPING; ELECTRIC FIELD EFFECTS; ELECTRONS; HAMILTONIANS; ITERATIVE METHODS; MAGNETIC FIELD EFFECTS; RANDOM PROCESSES;

MAGNETIC FIELD PERTURBATIONS; RELATIVISTIC ELECTRONS; STOCHASTIC MAGNETIC FIELDS; SYMMETRIC HAMILTONIAN MAPPING TECHNIQUE;

FUSION REACTIONS;

EID: 33846060161     PISSN: 00295515     EISSN: 17414326     Source Type: Journal    
DOI: 10.1088/0029-5515/46/11/008     Document Type: Article

References (66)

1. Braginskii S.I. 1965 Reviews of Plasma Physics vol 1 ed M.A. Leontovich (New York: Consultants Bureau) p 205
2. Balescu R. 1988 Transport processes in plasmas: 2. Neoclassical Transport Theory (Amsterdam: North-Holland)
3. Hazeltine R.D. and Meiss J.D. 1992 Plasma Confinement (Redwood City, CA: Addison-Wesley)
4. Balescu R. 2005 Aspects of Anomalous Transport in Plasmas (Bristol: Institute of Physics Publishing)
5. Bussac M.N. 1992 Stochastic magnetic field and enhanced transport Phys. Lett. A 161 365
6. 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
7. Finken K.H. et al 2005 Toroidal plasma rotation induced by the dynamic ergodic divertor in the TEXTOR tokamak Phys. Rev. Lett. 94
8. Jakubowski M.W. the TEXTOR team 2006 Effect of the change in magnetic-field topology due to an ergodic divertor on the plasma structure and transport Phys. Rev. Lett. 96 035004
9. Balescu R. 1977 Matter out of Equilibrium (London: Imperial College Press)
10. Balescu R., Vlad M. and Spineanu F. 1998 Tokamap: a Hamiltonian twist map for magnetic field lines in a toroidal geometry Phys. Rev. E 58 951-64
11. Balescu R. 1998 Hamiltonian nontwist map for magnetic field lines with locally reversed shear in toroidal geometry Phys. Rev. E 58 3781
12. 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 5 196-210
13. 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
14. Finken K.H., Abdullaev S.S., Kaleck A. and Wolf G.H. 1999 Operational space of the dynamic ergodic divertor for the TEXTOR-94 Nucl. Fusion 39 637
15. Abdullaev S.S. 2004 On mapping models of field lines in a stochastic magnetic field Nucl. Fusion 44 S12-27
16. Finken K.H., Abdullaev S.S., Jakubowski M., Lehnen M., Nicolai A. and Spatschek K.H. 2005 The Structure of Magnetic Field in the TEXTOR-DED Energy Technology vol 45 (Jülich: Forschungszentrum Jülich) http://www.fz-juelich.de/zb/online_publikationen
17. Abdullaev S.S. 2006 Construction of Mappings for Hamiltonian Systems and Their Applications (Berlin: Springer)
18. Wesson J. 2004 Tokamaks 3rd edn (Oxford: Clarendon Press)
19. Boozer A.H. 1982 Particle diffusion in tokamaks with partially destroyed magnetic surfaces Phys. Rev. Lett. 49 786
20. White R.B. and Wu Y. 1993 Plasma Phys. Control. Fusion 35 595-9
21. Mynick H.E. 1993 Transport of energetic ions by low-n magnetic perturbations Phys. Fluids B 5 1471-81
22. Mynick H.E. 1993 Stochastic transport of MeV ions by low-n magnetic perturbations Phys. Fluids B 5 2460-7
23. DeRover M., Lopes Cardozo N.J. and Montvai A. 1996 Hamiltonian description of the topology of drift orbits of relativistic particles in a tokamak Phys. Plasmas 3 4468-77
24. DeRover M., Lopes Cardozo N.J. and Montvai A. 1996 Motion of relativistic particles in axially symmetric and perturbed magnetic fields in a tokamak Phys. Plasmas 3 4478-88
25. White R.B. 1998 Chaos in trapped particle orbits Phys. Rev. E 58 1774-9
26. DeRover M., Schilham A.M., Montvai A. and Lopes Cardozo N.J. 1999 Test particle transport in perturbed magnetic fields in tokamaks Phys. Plasmas 6 2443-51
27. Finken K.H. and Wolf G.H. 1997 Background, motivation, concept and scientific aims for building a dynamic ergodic divertor Fusion Eng. Des. 37 337
28. Knoepfel H. and Spong D.A. 1979 Nucl. Fusion 19 785
29. Gill R.D., Alper B., Edwards A.W., Ingesson L.C., Johnson M.F. and Ward D.J. 2000 Direct observations of runaway electrons during disruptions in the JET tokamak Nucl. Fusion 40 163-74
30. Finken K.H., Watkins J.G., Rusbüldt D., Corbett W.J., Dippel K.H., Goebel D.M. and Moyer R.A. 1990 Observation of infrared sychrotron radiation from tokamak runaway electrons in TEXTOR Nucl. Fusion 30 859
31. Jaspers R., Finken K.H., Mank G., Hoenen F., Boedo J., Lopes Cardozo N.J. and Schüller F.C. 1993 Experimental investigation of runaway electron generation in TEXTOR Nucl. Fusion 33 1775
32. Jaspers R., Lopes Cardozo N.J., Finken K.H., Schokker B.C., Fuchs G., Mank G. and Schüller F.C. 1994 Island of runaway electrons in the TEXTOR tokamak and relation to transport in a stochastic field Phys. Rev. Lett 72 4093
33. Jaspers R., Grewe T., Finken K.H., Krämer-Flecken A., Lopes Cardozo N.J., Mank G. and Waidmann G. 1995 Observations of infrared radiation during disruptions in TEXTOR: heat pulses and runaway electrons J. Nucl. Mater. 220-222 682
34. Jaspers R., Lopes Cardozo N.J., Schüller F.C., Finken K.H., Grewe T. and Mank G. 1996 Disruption generated runaway electrons in TEXTOR and ITER Nucl. Fusion 36 367-73
35. eff Nucl. Fusion 38 279
36. Entrop I., Jaspers R., Lopes Cardozo N.J. and Finken K.H. 1999 Runaway snakes in TEXTOR-94 Plasma Phys. Control. Fusion 41 377
37. Finken K.H., Abdullaev S.S., Jakubowski M., Jaspers R., Lehnen M. and Zimmermann O. 2006 Losses of runaway electrons during ergodization Nucl. Fusion 46 S139-44
38. Rosenbluth M.N. and Putvinski S.V. 1997 Theory for avalanche of runaway electrons in tokamaks Nucl. Fusion 37 1355-62
39. Plyusnin V.V., Riccardo V., Jaspers R., Alper B., Kiptily V.G., Mlynar J., Popovichev S., de La Luna E. and Andersson F. JET EFDA contributors 2006 Study of runaway electron generation during major disruptions in JET 2006 Nucl. Fusion 46 277-84
40. Russo A.J. 1991 Effect of ripple on runaway electrons in tokamaks Nucl. Fusion 31 117
41. Russo A.J. and Campbell R.B. 1993 A model for disruption generated runaway electrons Nucl. Fusion 33 1305
42. Kawano Y. et al 1997 Proc. 16th Int. Conf. on Fusion Energy (Montreal, Canada, 1996) vol 1 (Vienna: IAEA) p 345
43. Kawano Y. et al 1997 Proc. 24th Eur. Conf. on Controlled Fusion and Plasma Physics (Berchtesgaden, 1997) vol 21A (Geneva: European Physical Society) p 501
44. Ghendrih Ph, Grossman A. and Capes H. 1996 Theoretical and experimental investigations of stochastic boundaries in tokamaks Plasma Phys. Control. Fusion 38 1653 -724
45. Catto P.J., Myra J.R., Wang P.W., Wootton A.J. and Bengtson R.D. 1991 Estimating the runaway diffusion coefficient in the TEXT tokamak from shift and externally applied resonant magnetic-field experiments Phys. Fluids B 3 2038-49
46. Myra J.R., Catto P.J., Wootton A.J., Bengtson R.D. and Wang P.W. Runaway electrons as a diagnostic of magnetic fluctuations in the edge plasma of the Texas ExperimentalTokamak Phys. Fluids B 4 2092-7
47. Myra J.R., Catto P.J., Mynick H.E. and Duvall R.E. 1993 Quasilinear diffusion in stochastic magnetic fields: Reconciliation of drift-orbit modification calculations Phys. Fluids B 5 1160-3
48. Catto P.J., Myra J.R. and Wootton A.J. 1994 Analytic model for the runaway distribution function in the presence of spatial diffusion Phys. Plasmas 1 684-90
49. Kawashima H., Nagashima K., Tamai H., Miura Y., Shoji T., Fujita T., Mori M., Sakurai S., Uesugi Y. and Takamura S. 1994 Study of runaway electron transport in edge stochastic magnetic field in the JFT-2M tokamak J. Plasma Fusion Res. 70 868-76
50. Entrop I., Lopes Cardozo N.J., Jaspers R. and Finken K.H. 1998 Diffusion of runaway electrons in TEXTOR-94 Plasma Phys. Control. Fusion 40 1513
51. Tokuda S. and Yoshino R. 1999 Simulation study on collisionless loss of runaway electrons by magnetic perturbations in a tokamak Nucl. Fusion 39 1123-32
52. Martín-Solís J.R., Snchez R. and Esposito B. 1999 Effect of magnetic and electrostatic fluctuations on the runaway electron dynamics in tokamak plasmas Phys. Plasmas 6 3925-33
53. Yoshino R. and Tokuda S. 2000 Runaway electrons in magnetic turbulence and runaway current termination in tokamak discharge Nucl. Fusion 40 1293-309
54. Helander P., Eriksson L.-G. and Andersson F. 2000 Supperssion of runaway electron avalanches by radial diffusion Phys. Plasmas 7 4106-111
55. Harvey R.W., Chan V.S., Chiu S.C., Evans T.E., Rosenbluth M.N. and Whyte D.G. 2000 Runaway electron production in DIII-D killer pellet experiments, calculated with the CQL3D/KPRAD model Phys. Plasmas 7 4590-9
56. Abdullaev S.S. and Finken K.H. 2002 Hamiltonian guiding center equations in a toroidal system Phys. Plasmas 9 4193-204
57. Abdullaev S.S., Wingen A. and Spatschek K.H. 2006 Mapping of drift surfaces in toroidal systems with chaotic magnetic fields Phys. Plasmas 13 042509
58. Abdullaev S.S. 1999 A new integration method of Hamiltonian systems by symplectic maps J. Phys. A: Math. Gen. 32 2745-66
59. Abdullaev S.S. 2002 The Hamilton-Jacobi method and Hamiltonian maps J. Phys. A: Math. Gen. 35 2811-32
60. Kasilov S.V., Kernbichler W., Nemov V.V. and Heyn M.F. 2002 Mapping techniques for stellarators Phys. Plasmas 9 3508-25
61. Littlejohn R.G. 1985 Differential forms and canonical variables for drift motion in toroidal geometry Phys. Fluids 28 2015
62. Catto P.J., Myra J.R. and Taylor J.B. 1992 Curvature drift modifications of magnetic field maps for runaway electrons Plasma Phys. Control. Fusion 34 387-404
63. Nguyen F., Ghendrih Ph. and Samain A. 1995 Calculation of magnetic field topology of ergodized zone in real tokamak geometry. Application to the tokamak TORE-SUPRA through the MASTOC code Technical Report DFRC/CAD Preprint EUR-CEA-FC-1539, CEA, Cadarache
64. Myra J.R. and Catto P.J. 1992 Effects of drifts on the diffusion of runaway electrons in tokamak stochastic magnetic fields Phys. Fluids B 4 176-86
65. Schwinger J. 1949 On the classical radiation of accelerated electrons Phys. Rev. 75 1912-25
66. Jaspers R., Lopes Cardozo N.J., Donné A.J.H., Widderhoven H.L.M. and Finken K.H. 2001 A synchrotron radiation diagnostic to observe relativistic runaway electrons in a tokamak Rev. Sci. Instrum. 72 466