The temperature dependence of the phonon density of states in the amorphous Invar alloy Fe86Co4Zr10

Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game

“…In particular, Page et al [29] have shown that in well-mixed populations natural selection favors the rational solution, while spatiality may lead to much fairer outcomes. This result has been tested thoroughly against different types of players and updating rules [31], on various interaction networks [35][36][37][38][39], as well as under coevolution [40].…”

Effect of magnon–LA phonon interaction on LA phonon excitation at finite temperature

“…Therefore, the contribution to the magnon softening comes mainly from the LA phonon in concordance with the results of Refs. [13,[15][16][17].…”

“…However, the softening phenomenon of longitudinal acoustic phonon has not been observed up to now. Xianyu and coworkers [16,17] discovered the softening phenomenon of the low-energy generalized phonon spectrum when they studied the generalized phonon density of state of amorphous Invar alloy Fe 86 Co 4 Zr 10 and they explained this phenomenon using the electronphonon interaction model. Furthermore, Xianyu and coworkers have proposed that the phonon excitation may cause a "magnetic moment effect" that hints at the existence of "magnon-phonon interaction" although it has not been proved theoretically.…”

Invar effects of (Fe71.2B24Y4.8)96Nb4 alloy in different structural states

“…1͑a͒ 470 K. Electrical resistivity has a minimum at 464 K. The relative value of electrical resistivity decreases by 1.5% compared to that at room temperature, which is similar to amorphous Fe-͑Ni,Co͒-Zr ribbons with clear Invar effects. 5,9 Figure 1͑c͒ shows that an abrupt increase at 465 K occurs in the DIL trace. The average ␣ in the ferromagnetic ͑below 465 K͒ and paramagnetic ͑above 470 K͒ phases is in the same order as that in other amorphous Invar ribbons 3-6 and nonmagnetic BMGs, 10,11 respectively.…”

“…[3][4][5][6] A small thermal expansion coefficient in the order of 10 −6 K −1 below the Curie temperature, analogous to crystalline Fe 65 Ni 35 , has been reported for these amorphous ribbons, although their potential as commercial low-expansion alloys is limited by their small dimension ͑typically 50 m͒ and low Curie temperature ͑lower than 400 K͒. Recently, however, a class of Fe-B-Y-Nb soft magnetic bulk metallic glass ͑BMG͒ with strong glass-forming ability ͑critical diameter is 7 mm͒, high Curie temperature ͑higher than 450 K͒, excellent thermal stability ͑large supercooled liquid region with a temperature interval of about 90 K͒, and high compressive fracture stress ͑4 GPa͒ has been obtained.…”