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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 Lab. (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. doi: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. doi: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 = {2018},
month = {4}
}

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