Trapped field in a superconducting disk magnetized with low swept-down rate of applied field

We have proposed a systematic theoretic framework to calculate the trapped magnetic field and temperature distributions in a superconducting disk (SD) magnetized by a field-cooling process. Our calculations are based on the critical state model with temperature and field-dependent critical current density, and the heat conduction equation with account of the heat produced by flux motion. We distinguish the normal state region from the superconducting state region. Our calculated results are in good agreement with the recently experimental results reported by different groups, and the deviation is well explained.