Isomorphs, hidden scale invariance, and quasiuniversality

Isomorphs, hidden scale invariance, and quasiuniversality
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DOI:
10.1103/physreve.88.042139
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发表时间:
2013-10-24
期刊:
影响因子:
2.4
通讯作者:
Dyre, Jeppe C.
Dyre, Jeppe C.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Dyre, Jeppe C.

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本文首先建立了具有良好同构的经典液体(Roskilde-simple液体)的势能函数的近似标度性质。这种“伪齐次”性质明确表明——在某种意义上——这样的系统具有隐藏的尺度不变性。本文的第二部分给出了单原子roskild -简单液体的准普适的势能公式,最近用准普适单参数约坐标常势能超曲面族的存在性对其进行了合理化。C.戴尔,物理学家[j].电子工程学报,2013,31(2)。新公式包含一个准通用的约坐标势能函数。本文讨论了这种情况的几个后果。
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 of the paper 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.