“…The investigations by Fuerst et al [3] revealed that the magnetic field strength of melt spun Co-16 at.%Pr alloy composed of Co5Pr-D2d increases with wheel velocity, indicating the possible nonequilibrium phase transformation, i.e., percentage of the Co5Pr-D2d phase, increases (approaching 100%) with increasing wheel velocity. Recent, research efforts utilizing both experiments and theoretical calculations have examined new phases synthesis in nonequilibrium phase transformations from different angles such as using nonequilibrium reaction [4], composition effect on critical nucleation [5], critical cooling rate for amorphous formation [6], influence of rapid solidification on microstructure and thermodynamics [7], modeling dendrite growth under the local nonequilibrium condition [8], nonequilibrium dynamical mean-field theory [9], applying maximal entropy to multi-component stoichiometric compound growth [10], ab initio calculations coupled with the modified mixed-basis cluster expansion method [11], density functional theory phonon calculations [12], highentropy effects from nonequilibrium to equilibrium [13], the local nonequilibrium effects to the driving force for solidification [14] and structural enthalpy based on the modified Miedema's model [15]. The study of nonequilibrium phenomena has developed into one of the most active and exciting fields for material design, which can provide new insights beyond the equilibrium and theoretical understanding of the physics of phase selection.…”