核软化系统的类水反常和Rosenfeld超额熵标度关系的破裂：密度-温度平面轨迹的依赖性
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
摘要：
我们发现，在核心软化系统的动力学系数的水异常的存在依赖于在$ρ-T$平面上的轨迹沿动力学系数的计算。特别是，它表明，扩散异常确实存在沿等温线，但消失沿等值线。我们分析了Rosenfeld熵标度关系的适用性与核心软化势表现出水的异常系统。结果表明，Rosenfeld标度关系的扩散系数的有效性也取决于在$ρ-T$平面的动力学系数和过剩熵计算沿的轨迹。特别是，它沿等容线是有效的，但它沿等温线分解。
英文摘要：
We show that the existence of the water-like anomalies in kinetic coefficients in the core-softened systems depends on the trajectory in $ρ-T$ 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 $ρ-T$ 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.
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