  We present a study using molecular dynamics simulations based on the
Fermi-Jagla potential model, which is the continuous version of the mono-atomic
core-softened Jagla model [J. Y. Abraham, S. V. Buldyrev, and N.
Giovambattista, J. Phys. Chem. B, 115, 14229 (2011)]. This model shows the
water-like liquid-liquid phase transition between high-density and low-density
liquids at the liquid-liquid critical point. In particular, the slope of the
coexistence line becomes weakly negative, which is expected to represent one of
anomalies of liquid polyamorphism. In this study, we examined the density,
dynamic, and thermodynamic anomalies in the vicinity of the liquid-liquid
critical point. The boundaries of density, self-diffusion, shear viscosity, and
excess entropy anomalies were characterized. Furthermore, these anomalies are
connected according to the Rosenfeld's scaling relationship between the excess
entropy and the transport coefficients such as diffusion and viscosity. The
results demonstrate the hierarchical and nested structures regarding the
thermodynamic and dynamic anomalies of the Fermi-Jagla model.
