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 (50)

• Theory of Structural Glasses and Supercooled Liquids
• Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
• Extended corresponding-states behavior for particles with variable range attractions
• Inherent Structure Entropy of Supercooled Liquids
• A Dynamical Approach to Temperature
• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• "Isomorphs" in liquid state diagrams
• What do we learn from the local geometry of glass-forming liquids?
• Core-softened potentials and the anomalous properties of water
• Pressure-energy correlations in liquids. I. Results from computer simulations
• The phonon theory of liquid thermodynamics
• Self-Assembly of Monatomic Complex Crystals and Quasicrystals with a Double-Well Interaction Potential
• Pressure-energy correlations in liquids. II. Analysis and consequences
• Quantification of Order in the Lennard-Jones System
• Structural anomalies for a three dimensional isotropic core-softened potential
• Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance
• Strong pressure-energy correlations in liquids as a configuration space property: Simulations of temperature down jumps and crystallization
• Geometric interpretation of pre-vitrification in hard sphere liquids
• Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
• 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
• What constitutes a simple liquid?
• Phase diagram of softly repulsive systems: The Gaussian and inverse-power-law potentials
• A brief critique of the Adam-Gibbs entropy model
• The instantaneous shear modulus in the shoving model
• Thermodynamics of condensed matter with strong pressure-energy correlations
• Dependence of the fragility of a glass former on the softness of interparticle interactions
• Pressure-energy correlations and thermodynamic scaling in viscous Lennard-Jones liquids
• On the correlation between fragility and stretching in glassforming liquids
• Inversion of Sequence of Diffusion and Density Anomalies in Core-Softened Systems
• Phase behaviour of attractive and repulsive ramp fluids: integral equation and computer simulation studies
• Generalizing Rosenfeld's excess-entropy scaling to predict long-time diffusivity in dense fluids of Brownian particles: From hard to ultrasoft interactions
• Evaluation of phenomenological one-phase criteria for the melting and freezing of softly repulsive particles
• Thermodynamic, Dynamic and Structural Anomalies for Shoulder-like potentials
• Mapping the glassy dynamics of soft spheres onto hard-sphere behavior
• Finite-Size Effects in a Supercooled Liquid
• Comparison of structure and transport properties of concentrated hard and soft sphere fluids
• Some universal trends of the Mie(n,m) fluid thermodynamics
• Density-Temperature-Softness Scaling of the Dynamics of Glass-forming Soft-sphere Liquids
• Hard sphere-like dynamics in a non hard sphere liquid
• Gaussian core model phase diagram and pair correlations in high Euclidean dimensions
• Accurate freezing and melting equations for the Lennard-Jones system
• Mapping between long-time molecular and Brownian dynamics
• Dynamic equivalence between atomic and colloidal liquids
• NVU dynamics. I. Geodesic motion on the constant-potential-energy hypersurface
• Global perspectives on the energy landscapes of liquids, supercooled liquids, and glassy systems: The potential energy landscape ensemble
• Thermodynamic, Dynamic, Structural and Excess Entropy Anomalies for core-softened potentials
• NVU dynamics. II. Comparing to four other dynamics
• Isomorphs in the phase diagram of a model liquid without inverse power law repulsion
• NVU dynamics. III. Simulating molecules at constant potential energy

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• The role of local structure in dynamical arrest
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• Explaining why simple liquids are quasi-universal
• Isomorphs, hidden scale invariance, and quasiuniversality
• Freezing and melting line invariants of the Lennard-Jones system
• The Rosenfeld-Tarazona expression for liquids' specific heat: A numerical investigation of eighteen systems
• Estimating the density-scaling exponent of a monatomic liquid from its pair potential
• Investigating isomorphs with the topological cluster classification
• Impact of size polydispersity on the nature of Lennard-Jones liquids
• Isomorph-based empirically modified hypernetted-chain approach for strongly coupled Yukawa one-component plasmas
• Effect of Energy Polydispersity on the Nature of Lennard-Jones Liquids
• A heuristic rule for classification of classical fluids: Master curves for Mie, Yukawa and square-well potentials
• The EXP pair-potential system. I. Fluid phase isotherms, isochores, and quasiuniversality
• Isomorph invariance and thermodynamics of repulsive dense bi-Yukawa one-component plasmas
• Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows
• Freezing and melting equations for the $n$-6 Lennard-Jones systems
• $NVU$ view on energy polydisperse Lennard-Jones systems
• Interpolating between pair-potential systems
• Viscous liquid dynamics modeled as random walks within overlapping hyperspheres