Figure 3 presents trajectories of the magnetization vectors, which are projected onto the x-z plane for the Stoner-Wohlfarth grain in the unstable switching region (a), at the boundary of trA = 0 (b), and in the stable switching region (c). The strengths of the dc and microwave fields are H dc = 46 kOe, H ac = 2 kOe; H dc = 33 kOe, H ac = 3 kOe; and H dc = 24 kOe, H ac = 7 kOe for Figures 3a,b,c, respectively. Large angle precession induced by the microwave field is not observed in the early stage of the magnetization switching in the unstable switching region for condition (a). On the other hand, magnetization switching through a quasiperiodic

magnetization mode [21] was observed under condition (b), which was also been demonstrated elsewhere beta-catenin signaling [14]. Magnetization was also confirmed to switch through a pure time-harmonic magnetization mode with no generation of higher-order harmonics (P-mode) in the stable switching region (c). Figure 2 Curves for detA and trA. Using 50-GHz Pitavastatin molecular weight microwaves and switching fields of the Stoner-Wohlfarth grain as a function of microwave field strength. Figure 3 Trajectories of magnetization projected onto the x – z plane for the Stoner-Wohlfarth grain. (a) In the unstable switching region, (b) at the boundary of trA = 0, and (c) in the stable switching region. The theoretical treatment is very

useful when analyzing the MAMR process. However, applicable field situations of the treatment are limited [21]. Hence,

a numerical integration of the LLG find more equation is necessary for analyzing MAMR processes under various field situations. Figure 4 shows the probability of magnetization switching events in the Stoner-Wohlfarth grain at the finite temperature Non-specific serine/threonine protein kinase T = 400 K. The H SW in MAMR was theoretically shown to steadily decrease with increasing temperature because of thermal fluctuations [14]. As a result, the stable and unstable switching regions shift toward the lower H SW as shown by the broken lines in Figure 4. In the unstable switching region, the switching events were found to widely distribute in H dc and H ac owing to thermal fluctuations. This implies that larger H dc or H ac field is necessary for practical applications in magnetic devices utilizing MAMR. Figure 4 Magnetization switching probability distribution for the Stoner-Wohlfarth grain at 400 K. Switching fields of the Stoner-Wohlfarth grains are shown in Figure 5 as a parameter of the incident angle of the dc magnetic field at T = 0 K. As can be seen in the figure, the strength of H ac at which an abrupt change in H SW occurs becomes smaller. The change becomes also smaller when the incident angle increases. Considering the magnetization switching process [21, 22] under microwave fields, these results are reasonable. These results also imply a shift in the unstable switching region toward smaller H ac and H SW as well as reduction in the unstable switching region size due to the incident angle.