Water-like Anomalies and Breakdown of the Rosenfeld Excess Entropy Scaling Relations for the Core-Softened Systems: Dependence on the Trajectory in Density-Temperature Plane

TL;DR

This study investigates how water-like anomalies and the Rosenfeld entropy scaling relations in core-softened systems depend on the trajectory in the density-temperature plane, revealing that anomalies and scaling validity vary with the chosen path.

Contribution

It demonstrates the trajectory-dependent nature of water-like anomalies and Rosenfeld scaling breakdowns in core-softened systems, highlighting the importance of the path in the density-temperature plane.

Findings

Diffusion anomalies exist along isotherms but not along isochores.

Rosenfeld scaling is valid along isochores but breaks down along isotherms.

Anomalies and scaling relations depend on the trajectory in the density-temperature plane.

Abstract

We show that the existence of the water-like anomalies in kinetic coefficients in the core-softened systems depends on the trajectory in $\rho-T$ plane along which the kinetic coefficients are calculated. In particular, it is shown that the diffusion anomaly does exist along the isotherms, but disappears along the isochores. We analyze the applicability of the Rosenfeld entropy scaling relations to the systems with the core-softened potentials demonstrating the water-like anomalies. It is shown that the validity of the of Rosenfeld scaling relation for the diffusion coefficient also depends on the trajectory in the $\rho-T$ plane along which the kinetic coefficients and the excess entropy are calculated. In particular, it is valid along isochors, but it breaks down along isotherms.