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Title: Plasma equilibrium with fast ion orbit width, pressure anisotropy, and toroidal flow effects

Abstract

Here, we formulate the problem of tokamak plasma equilibrium including the toroidal flow and fast ion (or energetic particle, EP) pressure anisotropy and the finite drift orbit width (FOW) effects. The problem is formulated via the standard Grad-Shafranov equation (GShE) amended by the solvability condition which imposes physical constraints on allowed spacial dependencies of the anisotropic pressure. The GShE problem employs the pressure coupling scheme and includes the dominant diagonal terms and non-diagonal corrections to the standard pressure tensor. The anisotropic tensor elements are obtained via the distribution function represented in the factorized form via the constants of motion. Considered effects on the plasma equilibrium are estimated analytically, if possible, to understand their importance for GShE tokamak plasma problem.

Authors:
 [1];  [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1436755
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 58; Journal Issue: 8; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Gorelenkov, Nikolai N., and Zakharov, Leonid E. Plasma equilibrium with fast ion orbit width, pressure anisotropy, and toroidal flow effects. United States: N. p., 2018. Web. doi:10.1088/1741-4326/aac09d.
Gorelenkov, Nikolai N., & Zakharov, Leonid E. Plasma equilibrium with fast ion orbit width, pressure anisotropy, and toroidal flow effects. United States. https://doi.org/10.1088/1741-4326/aac09d
Gorelenkov, Nikolai N., and Zakharov, Leonid E. Fri . "Plasma equilibrium with fast ion orbit width, pressure anisotropy, and toroidal flow effects". United States. https://doi.org/10.1088/1741-4326/aac09d. https://www.osti.gov/servlets/purl/1436755.
@article{osti_1436755,
title = {Plasma equilibrium with fast ion orbit width, pressure anisotropy, and toroidal flow effects},
author = {Gorelenkov, Nikolai N. and Zakharov, Leonid E.},
abstractNote = {Here, we formulate the problem of tokamak plasma equilibrium including the toroidal flow and fast ion (or energetic particle, EP) pressure anisotropy and the finite drift orbit width (FOW) effects. The problem is formulated via the standard Grad-Shafranov equation (GShE) amended by the solvability condition which imposes physical constraints on allowed spacial dependencies of the anisotropic pressure. The GShE problem employs the pressure coupling scheme and includes the dominant diagonal terms and non-diagonal corrections to the standard pressure tensor. The anisotropic tensor elements are obtained via the distribution function represented in the factorized form via the constants of motion. Considered effects on the plasma equilibrium are estimated analytically, if possible, to understand their importance for GShE tokamak plasma problem.},
doi = {10.1088/1741-4326/aac09d},
journal = {Nuclear Fusion},
number = 8,
volume = 58,
place = {United States},
year = {Fri Apr 27 00:00:00 EDT 2018},
month = {Fri Apr 27 00:00:00 EDT 2018}
}

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Works referenced in this record:

Generalized MHD for numerical stability analysis of high-performance plasmas in tokamaks
journal, November 1998


Anisotropic plasma with flows in tokamak: Steady state and stability
journal, December 1996


Axisymmetric toroidal equilibrium with flow and anisotropic pressure
journal, August 1990

  • Iacono, R.; Bondeson, A.; Troyon, F.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 8
  • DOI: 10.1063/1.859451

More on core‐localized toroidal Alfvén eigenmodes
journal, September 1995

  • Berk, H. L.; Van Dam, J. W.; Borba, D.
  • Physics of Plasmas, Vol. 2, Issue 9
  • DOI: 10.1063/1.871174

New methods of driving plasma current in fusion devices
journal, June 1970


Anisotropic distribution function of minority tail ions generated by strong ion‐cyclotron resonance heating
journal, January 1990

  • Chang, C. S.; Colestock, P.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 2
  • DOI: 10.1063/1.859319

Stabilization of the internal kink mode in a tokamak by toroidal plasma rotation
journal, March 2000

  • Wahlberg, C.; Bondeson, A.
  • Physics of Plasmas, Vol. 7, Issue 3
  • DOI: 10.1063/1.873889

Neoclassical theory of collisional transport in the presence of fusion α-particles
journal, June 1975


Energetic particle physics in fusion research in preparation for burning plasma experiments
journal, November 2014


Validating predictive models for fast ion profile relaxation in burning plasmas
journal, July 2016


Operation of the TFTR pellet charge exchange diagnostic in the pulse counting mode during H+ radio frequency minority heating
journal, January 1999

  • Medley, S. S.; Petrov, M. P.; Roquemore, A. L.
  • Review of Scientific Instruments, Vol. 70, Issue 1
  • DOI: 10.1063/1.1149406

Problems associated with the injection of a high-energy neutral beam into a plasma
journal, March 1973


Beam-induced tensor pressure tokamak equilibria
journal, August 1980


Low-n shear Alfvén spectra in axisymmetric toroidal plasmas
journal, January 1986

  • Cheng, C. Z.; Chance, M. S.
  • Physics of Fluids, Vol. 29, Issue 11
  • DOI: 10.1063/1.865801

Tokamak plasma equilibrium problems with anisotropic pressure and rotation and their numerical solution
journal, March 2015


Beam anisotropy effect on Alfvén eigenmode stability in ITER-like plasmas
journal, March 2005


Energetic particle orbits in the National Spherical Tokamak Experiment
journal, October 1997

  • Mikkelsen, D. R.; White, R. B.; Akers, R. J.
  • Physics of Plasmas, Vol. 4, Issue 10
  • DOI: 10.1063/1.872263

An inverse variable technique in the MHD-equilibrium problem
journal, June 1985


Toroidal Containment of a Plasma
journal, January 1967


The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library
journal, June 2004

  • Pankin, Alexei; McCune, Douglas; Andre, Robert
  • Computer Physics Communications, Vol. 159, Issue 3
  • DOI: 10.1016/j.cpc.2003.11.002

Self-consistent equilibrium model of low aspect-ratio toroidal plasma with energetic beam ions
journal, August 2003

  • Belova, E. V.; Gorelenkov, N. N.; Cheng, C. Z.
  • Physics of Plasmas, Vol. 10, Issue 8
  • DOI: 10.1063/1.1592155

Confinement degradation by Alfvén-eigenmode induced fast-ion transport in steady-state scenario discharges
journal, August 2014


An iterative metric method for solving the inverse tokamak equilibrium problem
journal, September 1980


Computational Methods in Plasma Physics
book, January 2010


Minimum- B Plasma Equilibria with Finite Pressure
journal, June 1964


Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
journal, January 1983