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

Connecting thermodynamic and dynamical anomalies of water-like liquid-liquid phase transition in the Fermi-Jagla model