The EXP pair-potential system. II. Fluid phase isomorphs

Abstract

This paper continues the investigation of the exponentially repulsive EXP pair-potential system of Paper I with a focus on isomorphs in the low-temperature gas and liquid phases. As expected from the EXP system's strong virial potential-energy correlations, the system's reduced-unit structure and dynamics are isomorph invariant to a good approximation. Three methods for generating isomorphs are compared: the small-step method that is exact in the limit of small density changes and two versions of the direct-isomorph-check method that allows for much larger density changes. Results from approximate methods are compared to those of the small-step method for each of three isomorphs generated by 230 one percent density increases, covering in all one decade of density variation. Both approximate methods work well.

References in corpus (21)

• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• "Isomorphs" in liquid state diagrams
• Pressure-energy correlations in liquids. I. Results from computer simulations
• Strong pressure-energy correlations in van der Waals liquids
• Pressure-energy correlations in liquids. II. Analysis and consequences
• 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
• What constitutes a simple liquid?
• Hidden scale invariance in molecular van der Waals liquids: A simulation study
• Density scaling as a property of strongly correlating viscous liquids
• Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system
• Thermodynamics of condensed matter with strong pressure-energy correlations
• Isomorphs in model molecular liquids
• Explaining why simple liquids are quasi-universal
• Scaling of the dynamics of flexible Lennard-Jones chains
• Comparison of structure and transport properties of concentrated hard and soft sphere fluids
• Invariants in the Yukawa system's thermodynamic phase diagram
• Approximate scale invariance in particle systems: a large-dimensional justification
• Studies of the Lennard-Jones fluid in 2, 3, and 4 dimensions highlight the need for a liquid-state 1/d expansion
• NVU dynamics. I. Geodesic motion on the constant-potential-energy hypersurface
• The EXP pair-potential system. I. Fluid phase isotherms, isochores, and quasiuniversality

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• The EXP pair-potential system. I. Fluid phase isotherms, isochores, and quasiuniversality
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