Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Gyrokinetic neoclassical study of the bootstrap current in the tokamak edge pedestal with fully non-linear Coulomb collisions

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4945615· OSTI ID:22599127
As a follow-up on the drift-kinetic study of the non-local bootstrap current in the steep edge pedestal of tokamak plasma by Koh et al. [Phys. Plasmas 19, 072505 (2012)], a gyrokinetic neoclassical study is performed with gyrokinetic ions and drift-kinetic electrons. Besides the gyrokinetic improvement of ion physics from the drift-kinetic treatment, a fully non-linear Fokker-Planck collision operator—that conserves mass, momentum, and energy—is used instead of Koh et al.'s linearized collision operator in consideration of the possibility that the ion distribution function is non-Maxwellian in the steep pedestal. An inaccuracy in Koh et al.'s result is found in the steep edge pedestal that originated from a small error in the collisional momentum conservation. The present study concludes that (1) the bootstrap current in the steep edge pedestal is generally smaller than what has been predicted from the small banana-width (local) approximation [e.g., Sauter et al., Phys. Plasmas 6, 2834 (1999) and Belli et al., Plasma Phys. Controlled Fusion 50, 095010 (2008)], (2) the plasma flow evaluated from the local approximation can significantly deviate from the non-local results, and (3) the bootstrap current in the edge pedestal, where the passing particle region is small, can be dominantly carried by the trapped particles in a broad trapped boundary layer. A new analytic formula based on numerous gyrokinetic simulations using various magnetic equilibria and plasma profiles with self-consistent Grad-Shafranov solutions is constructed.
OSTI ID:
22599127
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 23; ISSN PHPAEN; ISSN 1070-664X
Country of Publication:
United States
Language:
English

References (44)

Bootstrap current in a tokamak journal September 1994
Noncircular, finite aspect ratio, local equilibrium model journal April 1998
Full-f gyrokinetic particle simulation of centrally heated global ITG turbulence from magnetic axis to edge pedestal top in a realistic tokamak geometry journal September 2009
Numerical study of tokamak equilibria with arbitrary flow journal February 2004
Rotation and density asymmetries in the presence of large poloidal impurity flows in the edge pedestal journal November 2013
Plasma transport in stochastic magnetic field caused by vacuum resonant magnetic perturbations at diverted tokamak edge journal October 2010
Enhancement of neoclassical transport coefficients by a poloidal electric field in tokamaks journal January 1983
Progress at JET in integrating ITER-relevant core and edge plasmas within the constraints of an ITER-like wall journal February 2015
Diffusion Driven Plasma Currents and Bootstrap Tokamak journal January 1971
Global Gyrokinetic Simulation of Tokamak Edge Pedestal Instabilities text January 2012
The bootstrap current and its consequences journal December 2000
Turbulent transport and the scrape-off-layer width journal August 2011
Experimental evidence for the bootstrap current in a tokamak journal November 1995
Local and global Fokker–Planck neoclassical calculations showing flow and bootstrap current modification in a pedestal journal October 2012
Finite-aspect-ratio effects on the bootstrap current in tokamaks journal January 1988
Neoclassical transport of impurities in tokamak plasmas journal September 1981
Theory of energetic ion transport induced by waves of ion cyclotron range of frequencies in a tokamak plasma journal December 1991
Bootstrap current for the edge pedestal plasma in a diverted tokamak geometry journal July 2012
Neoclassical ion thermal conductivity modified by finite banana effects in a tokamak plasma journal June 1997
Bootstrap current during perpendicular neutral injection in JT-60 journal February 1990
Investigation of the formation of a fully pressure‐driven tokamak* journal May 1994
Full linearized Fokker–Planck collisions in neoclassical transport simulations journal December 2011
A fully non-linear multi-species Fokker–Planck–Landau collision operator for simulation of fusion plasma journal June 2016
A Fokker-Planck-Landau collision equation solver on two-dimensional velocity grid and its application to particle-in-cell simulation journal March 2014
Gyrokinetic particle simulation model journal September 1987
Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes journal May 2002
Experimental Observation of Neoclassical Currents in a Plasma journal July 1984
Bootstrap Current for the Edge Pedestal Plasma in a Diverted Tokamak Geometry report August 2012
Poloidal asymmetries in edge transport barriersa) journal May 2015
Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio journal September 1997
Dependence of recycling and edge profiles on lithium evaporation in high triangularity, high performance NSTX H-mode discharges journal August 2015
Enhancement of the Bootstrap Current in a Tokamak Pedestal journal July 2010
Validation of Neoclassical Bootstrap Current Models in the Edge of an H -Mode Plasma journal June 2004
Theory of plasma transport in toroidal confinement systems journal April 1976
Nonlinear growth of the tearing mode journal January 1973
Global Gyrokinetic Simulation of Tokamak Edge Pedestal Instabilities journal November 2012
Stability of tearing modes in tokamak plasmas journal July 1994
Limitations of bootstrap current models journal March 2014
Dependence of divertor heat flux widths on heating power, flux expansion, and plasma current in the NSTX journal August 2011
Kinetic neoclassical transport in the H-mode pedestal journal July 2014
Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics journal July 2008
Nonlocal neoclassical transport in tokamak and spherical torus experiments journal August 2006
Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime journal July 1999
Numerical study of neoclassical plasma pedestal in a tokamak geometry journal May 2004

Cited By (16)

Role of the pedestal position on the pedestal performance in AUG, JET-ILW and TCV and implications for ITER journal June 2019
Nonlinear modeling of the effect of n   =  2 resonant magnetic field perturbation on peeling-ballooning modes in KSTAR journal January 2020
Radiative heat exhaust in Alcator C-Mod I-mode plasmas journal March 2019
Pressure balance in a lower collisionality, attached tokamak scrape-off layer journal July 2019
Long-lived coupled peeling ballooning modes preceding ELMs on JET journal March 2019
RABBIT: Real-time simulation of the NBI fast-ion distribution journal July 2018
Integrated modelling of H-mode pedestal and confinement in JET-ILW journal November 2017
Effect of the relative shift between the electron density and temperature pedestal position on the pedestal stability in JET-ILW and comparison with JET-C journal March 2018
Experimental conditions to suppress edge localised modes by magnetic perturbations in the ASDEX Upgrade tokamak text January 2018
An Interactive Visualization System for Large Sets of Phase Space Trajectories journal June 2019
Observation of the current driving due to electron temperature redistribution by anomalous Doppler instability in the Experimental Advanced Superconducting Tokamak journal December 2019
Cross-verification of neoclassical transport solutions from XGCa against NEO journal October 2019
Inter-ELM evolution of the edge current density in JET-ILW type I ELMy H-mode plasmas journal June 2018
ICRF coupling in ASDEX upgrade magnetically perturbed 3D plasmas journal November 2019
Study of up–down poloidal density asymmetry of high- impurities with the new impurity version of XGCa journal October 2019
Experimental conditions to suppress edge localised modes by magnetic perturbations in the ASDEX Upgrade tokamak journal July 2018