Diffusive transport through a nontwist barrier in tokamaks

International Journal of Bifurcation and Chaos

Volumn 17, Issue 5, 2007, Pages 1589-1598

  Portela, J S E ^a   Caldas, I L ^a   Viana, R L ^b   Morrison, P J ^c  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Chaos; Nontwist; Tokamaks; Transport

Indexed keywords

CHAOTIC SYSTEMS; MAGNETIC FIELDS; PERTURBATION TECHNIQUES; SHEAR STRESS; TRANSPORT PROPERTIES;

MAGNETIC LIMITERS; NONTWIST MAPS; RADIAL DIFFUSION;

TOKAMAK DEVICES;

EID: 34547745884     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407017926     Document Type: Article

References (28)

1. Caldas, I. L., Pereira, J. M., Ullmann, K. & Viana, R. L. [1996] "Magnetic field line mappings for a tokamak with ergodic limiters," Chaos Solit. Fract. 7, 991-1010.
2. Caldas, I. L., Viana, R. L., Araujo, M. S. T., Vannucci, A., da Silva, E. C., Ullmann, K. & Heller, M. V. A. P. [2002] "Control of chaotic magnetic fields in tokamaks," Braz. J. Phys. 32, 980-1004.
3. Corso, G., Oda, G. & Caldas, I. L. [1997] "Minimizing chaos during the reconnection process," Chaos Solit. Fract. 8, 1891-1900.
4. Corso, G. &Lichtenberg, A. J. [1999] "Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity," Physica D 131, 1-16.
5. Davidson, M. G., Dewar, R. L., Gardner, H. J. & Howard, J. [1995] "Hamiltonian maps for heliac magnetic islands," Aust. J. Phys. 48, 871-886.
6. da Silva, E. C., Caldas, I. L. &Viana, R. L. [2002] "Bifurcations and onset of chaos on the ergodic magnetic limiter mapping," Chaos Solit. Fract. 14, 403-423.
7. del-Castillo-Negrete, D. &Morrison, P. J. [1993] "Chaotic transport by Rossby waves in shear flow," Phys. Fluids A 5, 948-965.
8. del-Castillo-Negrete, D., Greene, J. & Morrison, P. J. [1997] "Renormalization and transition to chaos in area preserving nontwist maps," Physica D 100, 311-329.
9. Egydio de Carvalho, R. & Ozório de Almeida, A. M. [1992] "Integrable approximation to the overlap of resonances," Phys. Lett. A 162, 457-463.
10. Greene, J. M. & Mao, J. [1990] "Higher-order fixed points of the renormalisation operator for invariant circles," Nonlinearity 3, 69-78.
11. Howard, J. E. & Hohs, S. M. [1984] "Stochasticity and reconnection in Hamiltonian systems," Phys. Rev. A 29, 418-421.
12. Karger, F. & Lackner, K. [1977] "Resonant helical divertor," Phys. Lett. A 61, 385-387.
13. Levinton, F. M. et al. [1995] "Improved confinement with reversed magnetic shear in TFTR," Phys. Rev. Lett. 75, 4417-4420.
14. Lichtenberg, A. J. & Lieberman, M. A. [1992] Regular and Chaotic Dynamics (Springer, NY).
15. Martin, T. J. & Taylor, J. B. [1984] "Ergodic behavior in a magnetic limiter," Plasma Phys. Contr. Fusion 26, 321-340.
16. Mazzucato, E. et al. [1996] "Turbulent fluctuations in TFTR configurations with reversed magnetic shear," Phys. Rev. Lett. 77, 3145-3148.
17. McCool, S. C., Wootton, A. J., Aydemir, A. Y. et al. [1989] "Electron thermal confinement studies with applied resonant fields on TEXT," Nucl. Fus. 29, 547-562.
18. Morrison, P. J. [2000] "Magnetic field lines, Hamiltonian dynamics, and nontwist systems," Phys. Plasmas 7, 2279-2289.
19. Oda, G. A. & Caldas, I. L., [1995] "Dimerized island chains in tokamaks," Chaos Solit Fract. 5, 15-23.
20. Petrisor, E. [2002] "Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps," Chaos Solit. Fract. 14, 117-127.
21. Portela, J. S. E., Viana, R. L. & Caldas, I. L. [2003] "Chaotic magnetic field lines in tokamaks with ergodic limiters," Physica A 317, 411-431.
22. Portela, J. S. E., Caldas, I. L., Viana, R. L. [2007], "Exit basins in tokamaks with the Wada property," Int. J. Bifurcation and Chaos 17(11).
23. Strait, E. J. et al. [1995] "Enhanced confinement and stability in DIII-D discharges with reversed magnetic shear," Phys. Rev. Lett. 75, 4421-4424.
24. Ullmann, K. & Caldas, I. L. [2000] "A sympletic mapping for the ergodic magnetic limiter an its dynamical analysis," Chaos Solit. Fract. 11, 2129-2140.
25. Viana, R. L. & Caldas, I. L. [1992] "Peripheral stochasticity in tokamak with an ergodic magnetic limiter," Z Naturforsch 47, 941.
26. Wesson, J. [1987] Tokamaks (Oxford University Press, Oxford).
27. Wurm, A., Apte, K. & Morrison, P. J. [2004] "On reconnection phenomena in the standard nontwist map," Braz. J. Phys. 34, 1700-1706.
28. Wurm, A., Apte, A., Fuchss, K. & Morrison, P. J. [2005] "Meanders and reconnection collision sequences in the standard nontwist map," Chaos 15, 023108.