Nonlocal transport in toroidal plasma devices

Spizzo, Gianluca; White, Roscoe B.; Maraschek, Marc; Igochine, Valentin; Granucci, Gustavo

doi:10.1088/1741-4326/aaf07c

Title: Nonlocal transport in toroidal plasma devices

Journal Article · 13 November 2018 · Nuclear Fusion

DOI: https://doi.org/10.1088/1741-4326/aaf07c · OSTI ID:1484032

^[1]; White, Roscoe B. ^[2];

^[3]; Igochine, Valentin ^[4]; Granucci, Gustavo ^[5]

Consiglio Nazionale delle Ricerche, Padova (Italy)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Max-Planck-Institut fur Plasmaphysik, Garching (Germany)
Max-Planck-Institut fuer Plasmaphysik, Bayern (Germany)
IFP-CNR, ENEA-CNR, Milan (Italy)

Collisional particle transport is examined in several toroidal plasma devices in the presence of perturbations typical of modes leading up to a disruption, of saturated tearing modes, or of unstable Alfvén modes. The existence of subdiffusive transport for electrons is found to occur in some cases at very low mode amplitudes and to also exist even for ions of high energy. Orbit resonances can produce long time correlations and traps for particle trajectories at perturbation amplitudes much too small for the orbits to be represented as uniformly chaotic. Here, the existence and nature of subdiffusive transport is found to depend on the nature of the mode spectrum and frequency as well as the mode amplitudes.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466; FC02-04ER54698

OSTI ID:: 1484032

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 1 Vol. 59; ISSN 0029-5515

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Universal behaviour in families of area-preserving maps Greene, J. M.; MacKay, R. S.; Vivaldi, F. Physica D: Nonlinear Phenomena, Vol. 3, Issue 3 https://doi.org/10.1016/0167-2789(81)90034-8	journal	August 1981
Effect of noise on the standard mapping Karney, Charles F. F.; Rechester, Alexander B.; White, Roscoe B. Physica D: Nonlinear Phenomena, Vol. 4, Issue 3 https://doi.org/10.1016/0167-2789(82)90045-8	journal	March 1982
Machine modification for active MHD control in RFX Sonato, P.; Chitarin, G.; Zaccaria, P. Fusion Engineering and Design, Vol. 66-68 https://doi.org/10.1016/S0920-3796(03)00177-7	journal	September 2003
Modification of particle distributions by MHD instabilities I White, R. B. Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Issue 5 https://doi.org/10.1016/j.cnsns.2011.02.013	journal	May 2012
Non-diffusive corrections to the long-scale behaviour of ensembles of turbulent magnetic lines: application of the functional method Spineanu, F.; Vlad, M.; Misguich, J. H. Journal of Plasma Physics, Vol. 51, Issue 1 https://doi.org/10.1017/S0022377800017426	journal	February 1994
Near threshold anomalous transport in the standard map White, R. B.; Benkadda, S.; Kassibrakis, S. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 8, Issue 4 https://doi.org/10.1063/1.166361	journal	December 1998
Random Walks on Lattices. II Montroll, Elliott W.; Weiss, George H. Journal of Mathematical Physics, Vol. 6, Issue 2 https://doi.org/10.1063/1.1704269	journal	February 1965
Chaos generated pinch effect in toroidal confinement devices Spizzo, G.; White, R. B.; Cappello, S. Physics of Plasmas, Vol. 14, Issue 10 https://doi.org/10.1063/1.2776907	journal	October 2007
Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas Heidbrink, W. W. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2838239	journal	May 2008
Non-diffusive transport modeling: statistical basis and applications. del-Castillo-Negrete, D.; Benkadda, Sadruddin TURBULENT TRANSPORT IN FUSION PLASMAS: First ITER International Summer School, AIP Conference Proceedings https://doi.org/10.1063/1.2939033	conference	January 2008
Electron heat transport from stochastic fields in gyrokinetic simulations Wang, E.; Nevins, W. M.; Candy, J. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3574660	journal	May 2011
Edge ambipolar potential in toroidal fusion plasmas Spizzo, G.; Vianello, N.; White, R. B. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4872173	journal	May 2014
Thirty years of turnstiles and transport Meiss, J. D. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 25, Issue 9 https://doi.org/10.1063/1.4915831	journal	September 2015
Nonlinear interaction of tearing modes in highly resistive tokamaks Waddell, B. V.; Carreras, B.; Hicks, H. R. Physics of Fluids, Vol. 22, Issue 5 https://doi.org/10.1063/1.862685	journal	January 1979
Monte Carlo evaluation of transport coefficients Boozer, Allen H. Physics of Fluids, Vol. 24, Issue 5 https://doi.org/10.1063/1.863445	journal	January 1981
Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section White, R. B.; Chance, M. S. Physics of Fluids, Vol. 27, Issue 10 https://doi.org/10.1063/1.864527	journal	January 1984
Langevin equation versus kinetic equation: Subdiffusive behavior of charged particles in a stochastic magnetic field Balescu, R.; Wang, Hai‐Da; Misguich, J. H. Physics of Plasmas, Vol. 1, Issue 12 https://doi.org/10.1063/1.870855	journal	December 1994
Comparisons and physics basis of tokamak transport models and turbulence simulations Dimits, A. M.; Bateman, G.; Beer, M. A. Physics of Plasmas, Vol. 7, Issue 3 https://doi.org/10.1063/1.873896	journal	March 2000
Proof of a Theorem of a. n. Kolmogorov on the Invariance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian Arnol'd, V. I. Russian Mathematical Surveys, Vol. 18, Issue 5 https://doi.org/10.1070/RM1963v018n05ABEH004130	journal	October 1963
The ASDEX divertor tokamak Keilhacker, M. Nuclear Fusion, Vol. 25, Issue 9 https://doi.org/10.1088/0029-5515/25/9/008	journal	September 1985
Comparison of tokamak disruption simulations Hopcraft, K. I.; Sykes, A.; Turner, M. F. Nuclear Fusion, Vol. 28, Issue 7 https://doi.org/10.1088/0029-5515/28/7/009	journal	July 1988
Analysis of coupled MHD modes with Mirnov probes in ASDEX Upgrade Schittenhelm, M.; Zohm, H. Nuclear Fusion, Vol. 37, Issue 9 https://doi.org/10.1088/0029-5515/37/9/I06	journal	September 1997
Progress towards high performance plasmas in the National Spherical Torus Experiment (NSTX) Kaye, S. M.; Bell, M. G.; Bell, R. E. Nuclear Fusion, Vol. 45, Issue 10 https://doi.org/10.1088/0029-5515/45/10/S14	journal	October 2005
Stochastization as a possible cause for fast reconnection during MHD mode activity in the ASDEX Upgrade tokamak Igochine, V.; Dumbrajs, O.; Constantinescu, D. Nuclear Fusion, Vol. 46, Issue 7 https://doi.org/10.1088/0029-5515/46/7/006	journal	June 2006
Active MHD control at high currents in RFX-mod Martini, S.; Agostini, M.; Alessi, C. Nuclear Fusion, Vol. 47, Issue 8 https://doi.org/10.1088/0029-5515/47/8/008	journal	July 2007
Central flattening of the fast-ion profile in reversed-shear DIII-D discharges Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E. Nuclear Fusion, Vol. 48, Issue 8 https://doi.org/10.1088/0029-5515/48/8/084001	journal	June 2008
Plasma performance and scaling laws in the RFX-mod reversed-field pinch experiment Innocente, P.; Alfier, A.; Canton, A. Nuclear Fusion, Vol. 49, Issue 11 https://doi.org/10.1088/0029-5515/49/11/115022	journal	September 2009
Disruption control on FTU and ASDEX upgrade with ECRH Esposito, B.; Granucci, G.; Nowak, S. Nuclear Fusion, Vol. 49, Issue 6 https://doi.org/10.1088/0029-5515/49/6/065014	journal	May 2009
Characterization of particle confinement properties in RFX-mod at a high plasma current Auriemma, F.; Lorenzini, R.; Agostini, M. Nuclear Fusion, Vol. 55, Issue 4 https://doi.org/10.1088/0029-5515/55/4/043010	journal	March 2015
Effective plasma heat conductivity in 'braided' magnetic field-I. Quasi-linear limit Isichenko, M. B. Plasma Physics and Controlled Fusion, Vol. 33, Issue 7 https://doi.org/10.1088/0741-3335/33/7/004	journal	July 1991
Measurement of magnetic fluctuation-induced heat transport in tokamaks and RFP Fiksel, G.; Bengtson, Roger D.; Cekic, M. Plasma Physics and Controlled Fusion, Vol. 38, Issue 12A https://doi.org/10.1088/0741-3335/38/12A/016	journal	December 1996
Analysis of the structure of neoclassical tearing modes in ASDEX Upgrade Meskat, J. P.; Zohm, H.; Gantenbein, G. Plasma Physics and Controlled Fusion, Vol. 43, Issue 10 https://doi.org/10.1088/0741-3335/43/10/304	journal	September 2001
Hydrogenic fast-ion diagnostic using Balmer-alpha light Heidbrink, W. W.; Burrell, K. H.; Luo, Y. Plasma Physics and Controlled Fusion, Vol. 46, Issue 12 https://doi.org/10.1088/0741-3335/46/12/005	journal	November 2004
Bifurcation in the MHD behaviour of a self-organizing system: the reversed field pinch (RFP) Cappello, S. Plasma Physics and Controlled Fusion, Vol. 46, Issue 12B https://doi.org/10.1088/0741-3335/46/12B/027	journal	November 2004
Nonlocal transport in the reversed field pinch Spizzo, G.; White, R. B.; Cappello, S. Plasma Physics and Controlled Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0741-3335/51/12/124026	journal	November 2009
Particle distribution modification by low amplitude modes White, R. B.; Gorelenkov, N.; Heidbrink, W. W. Plasma Physics and Controlled Fusion, Vol. 52, Issue 4 https://doi.org/10.1088/0741-3335/52/4/045012	journal	March 2010
A reduced fast ion transport model for the tokamak transport code TRANSP Podestà, M.; Gorelenkova, M.; White, R. B. Plasma Physics and Controlled Fusion, Vol. 56, Issue 5 https://doi.org/10.1088/0741-3335/56/5/055003	journal	April 2014
Detection of magnetic barriers in a chaotic domain: first application of finite time Lyapunov exponent method to a magnetic confinement configuration Rubino, G.; Borgogno, D.; Veranda, M. Plasma Physics and Controlled Fusion, Vol. 57, Issue 8 https://doi.org/10.1088/0741-3335/57/8/085004	journal	July 2015
Saturation of Alfvén modes in tokamaks White, Roscoe; Gorelenkov, Nikolai; Gorelenkova, Marina Plasma Physics and Controlled Fusion, Vol. 58, Issue 11 https://doi.org/10.1088/0741-3335/58/11/115007	journal	September 2016
Path-oriented early reaction to approaching disruptions in ASDEX Upgrade and TCV in view of the future needs for ITER and DEMO Maraschek, M.; Gude, A.; Igochine, V. Plasma Physics and Controlled Fusion, Vol. 60, Issue 1 https://doi.org/10.1088/1361-6587/aa8d05	journal	November 2017
Magnetic line trapping and effective transport in stochastic magnetic fields Vlad, M.; Spineanu, F.; Misguich, J. H. Physical Review E, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevE.67.026406	journal	February 2003
Neoclassical Transport in the Helical Reversed-Field Pinch Gobbin, M.; Spizzo, G.; Marrelli, L. Physical Review Letters, Vol. 105, Issue 19 https://doi.org/10.1103/PhysRevLett.105.195006	journal	November 2010
Observation of Critical-Gradient Behavior in Alfvén-Eigenmode-Induced Fast-Ion Transport Collins, C. S.; Heidbrink, W. W.; Austin, M. E. Physical Review Letters, Vol. 116, Issue 9 https://doi.org/10.1103/PhysRevLett.116.095001	journal	February 2016
Simulation of Large Magnetic Islands: A Possible Mechanism for a Major Tokamak Disruption White, R. B.; Monticello, D. A.; Rosenbluth, M. N. Physical Review Letters, Vol. 39, Issue 25 https://doi.org/10.1103/PhysRevLett.39.1618	journal	December 1977
Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces Rechester, A. B.; Rosenbluth, M. N. Physical Review Letters, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevLett.40.38	journal	January 1978
Calculation of Turbulent Diffusion for the Chirikov-Taylor Model Rechester, A. B.; White, R. B. Physical Review Letters, Vol. 44, Issue 24 https://doi.org/10.1103/PhysRevLett.44.1586	journal	June 1980
Electron Dynamics Associated with Stochastic Magnetic and Ambipolar Electric Fields Harvey, R. W.; McCoy, M. G.; Hsu, J. Y. Physical Review Letters, Vol. 47, Issue 2 https://doi.org/10.1103/PhysRevLett.47.102	journal	July 1981
Stochasticity and Transport in Hamiltonian Systems MacKay, R. S.; Meiss, J. D.; Percival, I. C. Physical Review Letters, Vol. 52, Issue 9 https://doi.org/10.1103/PhysRevLett.52.697	journal	February 1984
Transport Barrier inside the Reversal Surface in the Chaotic Regime of the Reversed-Field Pinch Spizzo, G.; Cappello, S.; Cravotta, A. Physical Review Letters, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevLett.96.025001	journal	January 2006
Anomalous Flattening of the Fast-Ion Profile during Alfvén-Eigenmode Activity Heidbrink, W. W.; Gorelenkov, N. N.; Luo, Y. Physical Review Letters, Vol. 99, Issue 24 https://doi.org/10.1103/PhysRevLett.99.245002	journal	December 2007
Calculation of Turbulent Diffusion for the Chirikov-Taylor Model Rechester, A. B.; White, R. B. Physical Review Letters, Vol. 45, Issue 10 https://doi.org/10.1103/physrevlett.45.851.2	journal	September 1980
The Theory of Toroidally Confined Plasmas White, Roscoe B. World Scientific https://doi.org/10.1142/p237	book	July 2001
The Theory of Toroidally Confined Plasmas White, Roscoe B. https://doi.org/10.1142/p440	book	April 2006
The Theory of Toroidally Confined Plasmas White, Roscoe B. World Scientific https://doi.org/10.1142/p916	book	January 2014
Thirty Years of Turnstiles and Transport Meiss, J. D. arXiv https://doi.org/10.48550/arxiv.1501.04364	text	January 2015
Effect of Noise on the Standard Mapping Karney, Charles F. F.; Rechester, Alexander B.; White, Roscoe B. arXiv https://doi.org/10.48550/arxiv.nlin/0501021	text	January 2005

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