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Title: Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation

Abstract

We present analytic, high-beta ({beta} {approx} O(1)), helical equilibrium solutions for a class of helical axis configurations having large helical aspect ratio, with the helix assumed to be tightly wound. The solutions develop a narrow boundary layer of strongly compressed flux, similar to that previously found in high beta tokamak equilibrium solutions. The boundary layer is associated with a strong localized current which prevents the equilibrium from having zero net current.

Authors:
;
Publication Date:
Research Org.:
Princeton Plasma Physics Lab., Princeton, NJ (US)
Sponsoring Org.:
USDOE Office of Science (SC) (US)
OSTI Identifier:
828004
Report Number(s):
PPPL-3960
TRN: US0403620
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 19 May 2004
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASPECT RATIO; BOUNDARY LAYERS; GRAD-SHAFRANOV EQUATION; EQUILIBRIUM, MHD; HIGH-BETA PLASMAS; STELLARATORS

Citation Formats

Smith, D R, and Reiman, A H. Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation. United States: N. p., 2004. Web. doi:10.2172/828004.
Smith, D R, & Reiman, A H. Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation. United States. doi:10.2172/828004.
Smith, D R, and Reiman, A H. Wed . "Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation". United States. doi:10.2172/828004. https://www.osti.gov/servlets/purl/828004.
@article{osti_828004,
title = {Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation},
author = {Smith, D R and Reiman, A H},
abstractNote = {We present analytic, high-beta ({beta} {approx} O(1)), helical equilibrium solutions for a class of helical axis configurations having large helical aspect ratio, with the helix assumed to be tightly wound. The solutions develop a narrow boundary layer of strongly compressed flux, similar to that previously found in high beta tokamak equilibrium solutions. The boundary layer is associated with a strong localized current which prevents the equilibrium from having zero net current.},
doi = {10.2172/828004},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2004},
month = {5}
}