Nonlinear State of m=1 Instability in Tokamaks with Nonmonotonic q Profiles

Avinash; R. J. Hastie; J. B. Taylor; S. C. Cowley

doi:10.1103/PhysRevLett.59.2647

Nonlinear State of m=1 Instability in Tokamaks with Nonmonotonic q Profiles

Avinash, R. J. Hastie, J. B. Taylor, S. C. Cowley

Astrophysical Sciences

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19 Scopus citations

Abstract

The nonlinear saturated state of the m=1, n=1 ideal MHD instability is calculated for a large-aspect-ratio tokamak. When the q(r) profile is nonmonotonic with q=qmin-1>0, the amplitude of the nonlinear state is given by 2qq=7.9[(qcq)32-1], where qc is the critical value of q at which the system is marginally stable. This nonlinear state is similar to that seen during the sawtooth crash in large tokamaks and may be related to the steady-state oscillations seen when sawteeth are suppressed by lower-hybrid current drive.

Original language	English (US)
Pages (from-to)	2647-2649
Number of pages	3
Journal	Physical review letters
Volume	59
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.59.2647
State	Published - 1987

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.59.2647

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title = "Nonlinear State of m=1 Instability in Tokamaks with Nonmonotonic q Profiles",

abstract = "The nonlinear saturated state of the m=1, n=1 ideal MHD instability is calculated for a large-aspect-ratio tokamak. When the q(r) profile is nonmonotonic with q=qmin-1>0, the amplitude of the nonlinear state is given by 2qq=7.9[(qcq)32-1], where qc is the critical value of q at which the system is marginally stable. This nonlinear state is similar to that seen during the sawtooth crash in large tokamaks and may be related to the steady-state oscillations seen when sawteeth are suppressed by lower-hybrid current drive.",

author = "Avinash and Hastie, \{R. J.\} and Taylor, \{J. B.\} and Cowley, \{S. C.\}",

year = "1987",

doi = "10.1103/PhysRevLett.59.2647",

language = "English (US)",

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pages = "2647--2649",

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AU - Avinash,

AU - Hastie, R. J.

AU - Taylor, J. B.

AU - Cowley, S. C.

PY - 1987

Y1 - 1987

N2 - The nonlinear saturated state of the m=1, n=1 ideal MHD instability is calculated for a large-aspect-ratio tokamak. When the q(r) profile is nonmonotonic with q=qmin-1>0, the amplitude of the nonlinear state is given by 2qq=7.9[(qcq)32-1], where qc is the critical value of q at which the system is marginally stable. This nonlinear state is similar to that seen during the sawtooth crash in large tokamaks and may be related to the steady-state oscillations seen when sawteeth are suppressed by lower-hybrid current drive.

AB - The nonlinear saturated state of the m=1, n=1 ideal MHD instability is calculated for a large-aspect-ratio tokamak. When the q(r) profile is nonmonotonic with q=qmin-1>0, the amplitude of the nonlinear state is given by 2qq=7.9[(qcq)32-1], where qc is the critical value of q at which the system is marginally stable. This nonlinear state is similar to that seen during the sawtooth crash in large tokamaks and may be related to the steady-state oscillations seen when sawteeth are suppressed by lower-hybrid current drive.

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JO - Physical review letters

JF - Physical review letters

IS - 23

ER -

Nonlinear State of m=1 Instability in Tokamaks with Nonmonotonic q Profiles

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