同构、隐标度不变性和拟普适性
Isomorphs, hidden scale invariance, and quasiuniversality
摘要：
本文首先建立了具有良好同构的经典液体（Roskilde简单液体）势能函数的近似标度性质。这种“伪齐次”性质明确表明--以及在何种意义上--这样的系统具有隐藏的标度不变性。第二部分给出了单原子Roskilde简单液体的准普适性的势能公式，最近根据约化坐标常势能超曲面的准普适性单参数族的存在性将其合理化[J. C. Dyre，Phys.Rev.E87，022106（2013）]。新的配方涉及一个准通用的简化坐标势能函数。一些后果，这是讨论。
英文摘要：
This paper first establishes an approximate scaling property of the potential-energy function of a classical liquid with good isomorphs (a Roskilde-simple liquid). This "pseudohomogeneous" property makes explicit that - and in which sense - such a system has a hidden scale invariance. The second part gives a potential-energy formulation of the quasiuniversality of monatomic Roskilde-simple liquids, which was recently rationalized in terms of the existence of a quasiuniversal single-parameter family of reduced-coordinate constant-potential-energy hypersurfaces [J. C. Dyre, Phys. Rev. E 87, 022106 (2013)]. The new formulation involves a quasiuniversal reduced-coordinate potential-energy function. A few consequences of this are discussed.
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