Fractional increase in magnetic energy, |$\mathcal {E}_{\rm mag}^{\rm str}/\mathcal {E}_{\rm mag}^0$|, as a function of position of superconducting shell |$\mathcal {R}$|. We consider a plausible range of values of |$\mathcal {R}$| in increments of |$0.05R_*$|, and also the ‘fiducial’ model with |$\mathcal {R}=0.79R_*$|. In the dimensionless units used in the calculation, the pre-condensation magnetic energy |$\mathcal {E}_{\rm mag}^0=5.4937$|.
Position of |$\mathcal {R}$| . | 0.9 . | 0.85 . | 0.8 . | 0.79 . | 0.75 . | 0.7 . |
---|---|---|---|---|---|---|
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards equator | 0.5380 | 0.6267 | 0.7212 | 0.7411 | 0.8233 | 0.9271 |
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards pole | 0.5029 | 0.5436 | 0.5930 | 0.6058 | 0.6704 | 0.7817 |
Position of |$\mathcal {R}$| . | 0.9 . | 0.85 . | 0.8 . | 0.79 . | 0.75 . | 0.7 . |
---|---|---|---|---|---|---|
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards equator | 0.5380 | 0.6267 | 0.7212 | 0.7411 | 0.8233 | 0.9271 |
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards pole | 0.5029 | 0.5436 | 0.5930 | 0.6058 | 0.6704 | 0.7817 |
Fractional increase in magnetic energy, |$\mathcal {E}_{\rm mag}^{\rm str}/\mathcal {E}_{\rm mag}^0$|, as a function of position of superconducting shell |$\mathcal {R}$|. We consider a plausible range of values of |$\mathcal {R}$| in increments of |$0.05R_*$|, and also the ‘fiducial’ model with |$\mathcal {R}=0.79R_*$|. In the dimensionless units used in the calculation, the pre-condensation magnetic energy |$\mathcal {E}_{\rm mag}^0=5.4937$|.
Position of |$\mathcal {R}$| . | 0.9 . | 0.85 . | 0.8 . | 0.79 . | 0.75 . | 0.7 . |
---|---|---|---|---|---|---|
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards equator | 0.5380 | 0.6267 | 0.7212 | 0.7411 | 0.8233 | 0.9271 |
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards pole | 0.5029 | 0.5436 | 0.5930 | 0.6058 | 0.6704 | 0.7817 |
Position of |$\mathcal {R}$| . | 0.9 . | 0.85 . | 0.8 . | 0.79 . | 0.75 . | 0.7 . |
---|---|---|---|---|---|---|
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards equator | 0.5380 | 0.6267 | 0.7212 | 0.7411 | 0.8233 | 0.9271 |
|$\mathcal {E}_{\rm mag}$| increase from field lines stretched towards pole | 0.5029 | 0.5436 | 0.5930 | 0.6058 | 0.6704 | 0.7817 |
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