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A universal formulation for the transport curve of a superconducting cylinder with a power law
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View: Figures


Image of FIG. 1.
FIG. 1.

Numerically calculated vs (thick solid lines) for a cylinder of radius with a PL expressed by Eq. (1), where , critical current , and index , 10, 20, and 40 are assumed, when is sweeping up with rate . The dashed arrow indicates the direction of increasing . The result for the Bean model is plotted by dotted lines. The thin solid lines show the base lines and solid circles indicate base points . The points corresponding to full penetration currents and are indicated by and , respectively. The points corresponding to 1% of difference between the base line and the directly calculated curve are indicated by open circles.

Image of FIG. 2.
FIG. 2.

Profiles of current density for the cases of , 20, 10, and 5 [(a)–(d)] calculated in Fig. 1. Arrows indicate the direction of increasing . In the numerical calculation, 200 cylindrical (tube) elements of equal cross-sectional area have been used. The value is set at the outer radius of each element with uniform .

Image of FIG. 3.
FIG. 3.

Magnetic energy vs for the cases presented in Fig. 1. The meanings of symbols are the same as that in Fig. 1.

Image of FIG. 4.
FIG. 4.

as a function of for and different values of .

Image of FIG. 5.
FIG. 5.

For a tape with an elliptical cross section of semiaxes and and a PL of , , and , the numerically calculated at points and as a function of of sweeping rate . The base line calculated by Eqs. (7) and (8) for the corresponding cylinder is plotted by a thin solid line.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A universal formulation for the transport V(I) curve of a superconducting cylinder with a power law E(J)