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Kinetically constrained models (KCMs) have gained much interest as modelsthat assign the origins of interesting dynamic properties of supercooledliquids to dynamical facilitation mechanisms that have been revealed in manyexpreiments and numerical simulations. In this work, we investigate the dynamicheterogeneity in the fragile-to-strong liquid via Monte Carlo method using themodel that linearly interpolates between the strong-liquid like behavior andthe fragile-liquid like behavior by an asymmetry parameter b. When theasymmetry parameter is sufficiently small, smooth fragile-to-strong transitionis observed both in the relaxation time and the diffusion constant. Using thesephysical quantities, we investigate fractional Stokes-Einstein relationsobserved in this model. When b is fixed, the system shows constant power lawexponent under the temperature change, and the exponent has the value betweenthat of the FA model and the East model. Furthermore, we investigate thedynamic length scale of our systems and also find the crossover relationbetween the relaxation time. We ascribe the competition between energeticallyfavored symmetric relaxation mechanism and entropically favored asymmetricrelaxation mechanism to the fragile-to-strong crossover behavior.

Dynamic Heterogeneity in Crossover Spin Facilitated Model of Supercooled Liquid and Fractional Stokes-Einstein Relation