%0 Journal Article
%T Isomorphs, hidden scale invariance, and quasiuniversality
%A Jeppe C. Dyre
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevE.88.042139
%X 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.
%U http://arxiv.org/abs/1306.4699v3