Electron fishbone simulations in tokamak equilibria using XHMGC

Vlad, G.; Briguglio, S.; Fogaccia, G.; Zonca, F.; Fusco, V.; Wang, X.

doi:10.1088/0029-5515/53/8/083008

Cited by 32 publications

(65 citation statements)

References 44 publications

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“…There, it is shown that an n = 15 TAE in ITER, found to be the most unstable mode from previous linear stability analyses of the considered reference scenario [cf. also Vlad et al, 2006)], nonlinearly evolves up to a peak fluctuation amplitude, consistent with ω B ∼ γ L , and then decays to a steady state saturation level, which scales as ν 2/3 d , consistent with Eq. (4.137), and is typically dominated by pitch angle scattering (Chen and Parker, 2011).…”

Section: Numerical Simulations Of Perturbative Excitation Of Alfvén Esupporting

confidence: 74%

“…In the following, we show that important qualitative and quantitative changes take place in the wave-particle nonlinear dynamics when the effect of "phase locked" particles in non-perturbative. When fluctuations maintain wave-particle resonance condition via "phase locking" through the nonlinear evolution, the chirping rate is proportional to mode amplitude, as observed experimentally, e.g., by (Heidbrink, 2008;Podestà et al, 2011), and in numerical simulations of nonlinear EPM evolutions Vlad et al, 2004Vlad et al, , 1999Zonca et al, 2002) as well as nonlinear fishbone dynamics Vlad et al, 2012Vlad et al, , 2013. This behavior is also demonstrated analytically for nonlinear EPM dynamics .…”

Section: Nonlinear Dynamics Of Alfvénic Fluctuations In Nonuniform Tomentioning

confidence: 63%

“…Sec. II) are more recent Vlad et al, 2012Vlad et al, , 2013. Fishbone linear stability analyses based on the same approach are reported by (Park et al, 1999).…”

Section: The Fishbone Burst Cyclementioning

confidence: 88%

“…also (Bierwage et al, 2012Briguglio et al, 2007Briguglio et al, , 2002Vlad et al, 2004Vlad et al, , 2009Vlad et al, , 2006Vlad et al, , 1999]. …”

Section: Nonlinear Dynamics Of Energetic Particle Modes and Avalanchesunclassified

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Physics of Alfvén waves and energetic particles in burning plasmas

2016

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Dynamics of shear Alfvén waves and energetic particles are crucial to the performance of burning fusion plasmas. This article reviews linear as well as nonlinear physics of shear Alfvén waves and their self-consistent interaction with energetic particles in tokamak fusion devices. More specifically, the review on the linear physics deals with wave spectral properties and collective excitations by energetic particles via wave-particle resonances. The nonlinear physics deals with nonlinear wave-wave interactions as well as nonlinear wave-energetic particle interactions. Both linear as well as nonlinear physics demonstrate the qualitatively important roles played by realistic equilibrium nonuniformities, magnetic field geometries, and the specific radial mode structures in determining the instability evolution, saturation, and, ultimately, energetic-particle transport. These topics are presented within a single unified theoretical framework, where experimental observations and numerical simulation results are referred to elucidate concepts and physics processes.

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Section: Numerical Simulations Of Perturbative Excitation Of Alfvén Esupporting

confidence: 74%

Section: Nonlinear Dynamics Of Alfvénic Fluctuations In Nonuniform Tomentioning

confidence: 63%

“…Sec. II) are more recent Vlad et al, 2012Vlad et al, , 2013. Fishbone linear stability analyses based on the same approach are reported by (Park et al, 1999).…”

Section: The Fishbone Burst Cyclementioning

confidence: 88%

“…also (Bierwage et al, 2012Briguglio et al, 2007Briguglio et al, , 2002Vlad et al, 2004Vlad et al, , 2009Vlad et al, , 2006Vlad et al, , 1999]. …”

Section: Nonlinear Dynamics Of Energetic Particle Modes and Avalanchesunclassified

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Physics of Alfvén waves and energetic particles in burning plasmas

2016

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“…Many different works have studied this problem, retaining more effects than we shall use. The more general effects can include: gyrokinetic ions 14 , vertical plasma elongation 15 , or a different kind of energetic particles, such as barely trapped/circulating electrons 16,17 .…”

Section: Introductionmentioning

confidence: 99%

Linear study of the precessional fishbone instability

et al. 2016

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The precessional fishbone instability is an m = n = 1 internal kink mode destabilized by a population of trapped energetic particles. The linear phase of this instability is studied here, analytically and numerically, with a simplified model. This model uses the reduced magneto-hydrodynamics (MHD) equations for the bulk plasma and the Vlasov equation for a population of energetic particles with a radially decreasing density. A threshold condition for the instability is found, as well as a linear growth rate and frequency. It is shown that the mode frequency is given by the precession frequency of the deeply trapped energetic particles at the position of strongest radial gradient. The growth rate is shown to scale with the energetic particle density and particles energy while it is decreased by continuum damping.

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Nonlinear physics and energetic particle transport features of the beam–plasma instability

et al. 2015

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In this paper we study transport features of a one-dimensional beam-plasma system in the presence of multiple resonances. As a model description of the general problem of a warm energetic particle beam, we assume n cold supra-thermal beams and investigate the self-consistent evolution in the presence of the complete spectrum of nearly degenerate Langmuir modes. A qualitative transport estimation is obtained by computing the Lagrangian Coherent Structures of the system on given temporal scales. This leads to the splitting of the phase space into regions where the local transport processes are relatively faster. The general theoretical framework is applied to the case of the nonlinear dynamics of two cold beams, for which numerical simulation results are illustrated and analysed.

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Electron fishbone simulations in tokamak equilibria using XHMGC

Cited by 32 publications

References 44 publications

Physics of Alfvén waves and energetic particles in burning plasmas

Physics of Alfvén waves and energetic particles in burning plasmas

Linear study of the precessional fishbone instability

Nonlinear physics and energetic particle transport features of the beam–plasma instability

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