Numerical Simulation of Trapped Field and Temperature Rise in $\hbox{MgB}_{2}$ Bulks Magnetized by Pulsed Field

Pulsed field magnetization (PFM) was performed for the MgB
₂
bulk 30 mm in diameter and the applied pulsed-field dependence of the trapped field B
_T
^C
, temperature rise ΔT and time dependence of the local field B
_L
^C
(t) were measured on the bulk. B
_T
^C
= 0.71 T was achieved at 14 K after applying the pulsed field of B
_ex
= 1.55 T, where ΔT of about 10 K was observed. Numerical simulation of PFM was also performed and B
_T
^C
, ΔT and B
_L
^C
(t) were simulated. The results of the simulation reproduced the experimental ones qualitatively. The flux dynamics and the heat generation in the MgB
₂
bulk during PFM were in clear contrast with those in REBaCuO bulks because of a small specific heat, large thermal conductivity, and narrow temperature margin against the transition temperature T
_c
.