NVU perspective on simple liquids' quasiuniversality

TL;DR

This paper proposes that simple liquids exhibit quasiuniversality through their reduced-coordinate constant-potential-energy hypersurfaces, which form a family of compact Riemannian manifolds parameterized by a single variable, explaining observed universal behaviors.

Contribution

It introduces a geometric framework based on hypersurfaces to explain the quasiuniversality of simple liquids, offering a new theoretical perspective.

Findings

Hypersurfaces form a quasiuniversal family for simple liquids.

Universalities arise from the geometric properties of these hypersurfaces.

The framework links structure, dynamics, and thermodynamics through geometry.

Abstract

The last half century of research into the structure, dynamics, and thermodynamics of simple liquids has revealed a number of approximate universalities. This paper argues that simple liquids' reduced-coordinate constant-potential-energy hypersurfaces constitute a quasiuniversal family of compact Riemannian manifolds parameterized by a single number, from which follows these liquids' quasiuniversalities.