On the two time scales of the sawteeth precursors
On the two time scales of the sawteeth precursors
For current profiles with a slope discontinuity at $\epsilon_{2}$ close to $\epsilon_{1}$ [q($\epsilon_{1}$) = 1] and a small shear $\widehat{s}$ ($\epsilon_{1}$), the jump of the derivative of the magnetohydrodynamic (MHD) solution across the singular q=1 layer is of the form [$\psi$']$_{\epsi...
Saved in:
Personal Name(s): | Rogister, A. |
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Singh, R. | |
Contributing Institute: |
Publikationen vor 2000; PRE-2000; Retrocat |
Imprint: |
Jülich
Kernforschungsanlage Jülich, Verlag
1988
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Physical Description: |
11 p. |
Document Type: |
Report Book |
Research Program: |
ohne Topic |
Series Title: |
Berichte der Kernforschungsanlage Jülich
2238 |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
For current profiles with a slope discontinuity at $\epsilon_{2}$ close to $\epsilon_{1}$ [q($\epsilon_{1}$) = 1] and a small shear $\widehat{s}$ ($\epsilon_{1}$), the jump of the derivative of the magnetohydrodynamic (MHD) solution across the singular q=1 layer is of the form [$\psi$']$_{\epsilon_{1}}$ $\varpropto$ $\widehat{s}$$_{1}$ [1 - 4f($\mu$) $\epsilon^{2}_{1}$ / $\widehat{s}^{2}_{1}$]; $\epsilon$ is the finite inverse aspect ratio; $\mu \equiv \widehat{s}_{1} \epsilon_{1}/8 (\epsilon_{2} - \epsilon_{1})$ measures the ratio of the two small parameters. The growth rate of the sawtooth trigger can accordingly pass fromresistive to MHD values for slight variations either of $\widehat{s}_{1}$ or of ($\epsilon_{2} - \epsilon_{1}$)/$\epsilon_{1}$. The above profile properties have been observed in sawtoothing TEXTOR discharges. |