The magnetization process as a response to a sweeping magnetic field in the
thermal environment is investigated by using the quantum master equation.
In a slow sweeping velocity region where the system shows quasi-adiabatic m
otion, a magnetic plateau in the magnetization process has been observed in
the recent experiment of V-15 [Phys. Rev. Lett. 84 (2000) 3454]. Although
the experiment was explained from a view of small capacity of the phonon he
at bath. i.e., the phonon bottleneck effect, we found that a magnetic plate
au appears almost regardless of the properties of the heat bath in the quas
i-adiabatic transition and the appearance of the plateau is quite universal
. We call it 'Magnetic Foehn effect'. On the other hand, the magnetic plate
au also appears in a fast sweeping velocity region by the Landau-Zener-Stuc
kelberg mechanism which is different from the above mechanism in a slow swe
eping region, and we study the crossover between them. We also propose an e
xperiment which clarifies the structure of coupling to the thermal reservoi
r.