We present formulas for field-sweep rate (β) dependence of irreversible magnetization (
M) in superconductors of various shapes. The expressions of
M-β relation were derived for arbitrary current-voltage (electric field (
E) versus current density (
J)) characteristics taking into account the distributions of
E and
J. We measured the β dependence of
M in a YBa
2Cu
3O
7 (YBCO) disk, and
E-J characteristics are estimated from the experimental data of
M-β dependence using a theoretical formula. Furthermore, we estimated current distribution in the YBCO disk.
View full abstract