Development of a reduced model for energetic particle transport by sawteeth in tokamaks

Author(s):  
Mario Podesta ◽  
Marina Gorelenkova ◽  
Nikolai N Gorelenkov ◽  
Roscoe B White ◽  
Phillip Bonofiglo ◽  
...  

Abstract The sawtooth instability is known for inducing transport and loss of energetic particles (EP), and for generating seed magnetic islands that can trigger tearing modes. Both effects degrade the overall plasma performance. Several theories and numerical models have been previously developed to quantify the expected EP transport caused by sawteeth, with various degrees of sophistication to differentiate the response of EPs at different energies and on different orbits (e.g. passing vs. trapped), although the analysis is frequently limited to a single time slice during a tokamak discharge. This work describes the development and initial benchmark of a framework that enables a reduced model for EP transport by sawteeth retaining the full EP phase-space information. The model, implemented in the ORBIT hamiltonian particle-following code, can be used either as a standalone post-processor taking input data from codes such as TRANSP, or as a preprocessor to compute transport coefficients that can be fed back to TRANSP for time-dependent simulations including the effects of sawteeth on energetic particles. The advantage of the latter approach is that the evolution of the EP distribution can be simulated quantitatively for sawtoothing discharges, thus enabling a more accurate modeling of sources, sinks and overall transport properties of EP and thermal plasma species for comprehensive physics studies that require detailed information of the fast ion distribution function and its evolution over time.

2020 ◽  
Vol 27 (3) ◽  
pp. 032508 ◽  
Author(s):  
X. Tang ◽  
Z. Lin ◽  
W. W. Heidbrink ◽  
J. Bao ◽  
C. Xiao ◽  
...  

Author(s):  
Nikolai Nikolaevich Bakharev ◽  
I M Balachenkov ◽  
F V Chernyshev ◽  
Vasily K Gusev ◽  
Evgeniy Kiselev ◽  
...  

Abstract Active NPA measurements of the fast ion distribution using the neutral beam as an additional charge exchange target are discussed. Expressions for the calculation of the NPA signal based on the fast ion distribution and for the reconstruction of the fast ion distribution from the NPA signal are provided. Demonstration of the described approach is carried out on the Globus-M2 spherical tokamak, where a scanning system for the NPAs was recently installed. Main features of the active NPA application on Globus-M2 are considered. The energy and spatial distributions of fast deuterium ions at dedicated pitch angles are obtained and compared with the calculated ones. Key traits of the obtained distributions are considered and explained.


2018 ◽  
Vol 140 (6) ◽  
Author(s):  
R. Sadeghi ◽  
A. Salar Elahi ◽  
M. Ghoranneviss ◽  
M. K. Salem

A structural change of perturbed magnetic configurations (such as magnetic islands) during disruption phase in IR-T1 tokamak was studied. The singular value decomposition (SVD) mode analysis and the (m,n) modes identification were presented. We also presented the SVD technique to analyze the tokamak magnetic fluctuations, time evolution of magnetohydrodynamics (MHD) modes, spatial structure of each time vector, and the energy content of each modes. We also considered different scenarios for plasma from steady-state to predisruption, complete disruption, creation of tearing modes, and finally magnetic islands.


1982 ◽  
Vol 37 (8) ◽  
pp. 840-847 ◽  
Author(s):  
D. Biskamp

The dynamic evolution and the saturated state of a long sheet pinch subject to growth of resistive tearing modes was investigated by numerical solution of the 2D MHD equations. Both the compressible and the incompressible equations were used, and the difference is found to be negligible. The necessity of considering a resistive equilibrium is stressed. The paper concentrates on a static equilibrium maintained by an external electric field and requiring a special distribution of the resistivity η. In addition the dynamics of the resistivity plays an important part. Assuming η to be time independent, the sheet pinch develops a number of soliton-like magnetic islands, which coalesce. The final state consists of a single soliton, while the generation of further sol-itons is inhibited by a strong shear flow allong the current sheet. When allowance is made for parallel diffusion of the resistivity such that η is essentially a flux function, the final state is quite different. Here the longest wavelength dominates, leading to a single, large island and completely destroying the original sheet pinch


2009 ◽  
Vol 49 (9) ◽  
pp. 095021 ◽  
Author(s):  
M. Gobbin ◽  
L. Marrelli ◽  
H.U. Fahrbach ◽  
M. Garcia-Muñoz ◽  
S. Günter ◽  
...  

2020 ◽  
Author(s):  
Olga Malandraki ◽  
Olga Khabarova ◽  
Roberto Bruno ◽  
Gary Zank ◽  
Gang Li and the ISSI-405 team

<p>Recent studies of particle acceleration in the heliosphere have revealed a new mechanism that can locally energize particles up to several MeV/nuc. Stream-stream interactions as well as the heliospheric current sheet – stream interactions lead to formation of large magnetic cavities, bordered by strong current sheets (CSs), which in turn produce secondary CSs and dynamical small-scale magnetic islands (SMIs) of ~0.01AU or less owing to magnetic reconnection. It has been shown that particle acceleration or re-acceleration occurs via stochastic magnetic reconnection in dynamical SMIs confined inside magnetic cavities observed at 1 AU. The study links the occurrence of CSs and SMIs with characteristics of intermittent turbulence and observations of energetic particles of keV-MeV/nuc energies at ~5.3 AU. We analyze selected samples of different plasmas observed by Ulysses during a widely discussed event, which was characterized by a series of high-speed streams of various origins that interacted beyond the Earth’s orbit in January 2005. The interactions formed complex conglomerates of merged interplanetary coronal mass ejections, stream/corotating interaction regions and magnetic cavities. We study properties of turbulence and associated structures of various scales. We confirm the importance of intermittent turbulence and magnetic reconnection in modulating solar energetic particle flux and even local particle acceleration. Coherent structures, including CSs and SMIs, play a significant role in the development of secondary stochastic particle acceleration, which changes the observed energetic particle flux time-intensity profiles and increases the final energy level to which energetic particles can be accelerated in the solar wind.</p>


1976 ◽  
Vol 16 (2) ◽  
pp. 149-169 ◽  
Author(s):  
John D. Gaffey

The Fokker-Planck equation is studied for an energetic ion beam injected into a magnetized plasma consisting of Maxwellian ions and electrons with υthi ≪υb≪ υthe. The time evolution of the fast ion distribution is given in terms of an infinite sum of Legendre polynomials for distributions that are axisymmetric about the magnetic field. The effect of charge exchange is included. The resulting ion distribution is somewhat isotropic for velocities much less than the injection velocity, however, the distribution is sharply peaked in both energy and pitch angle for velocities near the injection velocity. Approximate asymptotic expressions are given for the distribution in the vicinity of the injected beam and for velocities greater than the injection velocity. The effect of a weak parallel electric field is also given.


2018 ◽  
Vol 58 (8) ◽  
pp. 082028 ◽  
Author(s):  
D. Liu ◽  
W.W. Heidbrink ◽  
M. Podestà ◽  
G.Z. Hao ◽  
D.S. Darrow ◽  
...  

2020 ◽  
Vol 86 (2) ◽  
Author(s):  
David Zarzoso ◽  
Diego del-Castillo-Negrete

The confinement of energetic particles in nuclear fusion devices is studied in the presence of an oscillating radial electric field and an axisymmetric magnetic equilibrium. It is shown that, despite the poloidal and toroidal symmetries, initially integrable orbits turn into chaotic regions that can potentially intercept the wall of the tokamak, leading to particle losses. It is observed that the losses exhibit algebraic time decay different from the expected exponential decay characteristic of radial diffusive transport. A dynamical explanation of this behaviour is presented, within the continuous time random walk theory. The central point of the analysis is based on the fact that, contrary to the radial displacement, the poloidal angle is not bounded and a proper statistical analysis can therefore be made, showing for the first time that energetic particle transport can be super-diffusive in the poloidal direction and characterised by asymmetric poloidal displacement. The connection between poloidal and radial positions ensured by the conservation of the toroidal canonical momentum, implies that energetic particles spend statistically more time in the inner region of the tokamak than in the outer one, which explains the observed algebraic decay. This indicates that energetic particles might be efficiently slowed down by the thermal population before leaving the system. Also, the asymmetric transport reveals a new possible mechanism of self-generation of momentum.


1998 ◽  
Vol 5 (4) ◽  
pp. 1076-1084 ◽  
Author(s):  
Z. Chang ◽  
E. D. Fredrickson ◽  
S. H. Batha ◽  
M. G. Bell ◽  
R. V. Budny ◽  
...  

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