The temperature fluctuation is enhanced by imposing a weak magnetic field of B = 0.1-0.3 T for both parallel and transverse fields and almost completely suppressed with increasing to B = 1 T in the case of the transverse field but its low frequency component still remains large, becoming oscillatory, up to B = 3 T in the case of parallel field. The heat transfer shows a similar trend to the temperature fluctuation. It increases singularly by a weak B especially in the perpendicular sector to the transverse magnetic field and decreases with increasing B. In the case of parallel magnetic field, the heat transfer increases in a weak field of B = 0.1 -0. 5 T, the same as in the transverse magnetic field, but it does not decrease so much in a strong field of B = 1-3 T, presenting a rather higher value than in B = 0 T.