Field-Sweep Rate Dependence of Magnetization and Current-Voltage Characteristics in Superconductors

Abstract

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 YBa₂Cu₃O₇ (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.