NVU perspective on simple liquids' quasiuniversality

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.

References in corpus (14)

• Pressure-energy correlations in liquids. I. Results from computer simulations
• Self-Assembly of Monatomic Complex Crystals and Quasicrystals with a Double-Well Interaction Potential
• Pressure-energy correlations in liquids. II. Analysis and consequences
• Structural anomalies for a three dimensional isotropic core-softened potential
• Geometric interpretation of pre-vitrification in hard sphere liquids
• A Family of Tunable Spherically-Symmetric Potentials that Span the Range from Hard Spheres to Water-like Behavior
• A repulsive reference potential reproducing the dynamics of a liquid with attractions
• The instantaneous shear modulus in the shoving model
• Pressure-energy correlations and thermodynamic scaling in viscous Lennard-Jones liquids
• Dependence of the fragility of a glass former on the softness of interparticle interactions
• Phase behaviour of attractive and repulsive ramp fluids: integral equation and computer simulation studies
• Some universal trends of the Mie(n,m) fluid thermodynamics
• Gaussian core model phase diagram and pair correlations in high Euclidean dimensions
• Global perspectives on the energy landscapes of liquids, supercooled liquids, and glassy systems: The potential energy landscape ensemble