Testing the isomorph invariance of the bridge functions of Yukawa one-component plasmas. II. Short range

Abstract

It has been conjectured that bridge functions remain nearly invariant along phase diagram lines of constant excess entropy for the class of R-simple liquids. In the companion paper, this hypothesis has been confirmed for Yukawa bridge functions outside the correlation void. In order to complete the testing of the invariance ansatz, Yukawa bridge functions are here computed inside the correlation void with the cavity distribution method and input from ultra-long molecular dynamics simulations featuring a tagged particle pair. A general methodology is developed for the design of the tagged pair interaction potential that leads to the acquisition of uniform statistics. An extrapolation technique is developed to determine the bridge function value at zero separation. The effect of different sources of errors is quantified. Yukawa bridge functions are demonstrated to be nearly isomorph invariant also in the short range. Generalization to all R-simple systems and practical implications are discussed.

arXiv comment19 pages, 10 figures, 3 tables, supplementary material

References in corpus (29)

• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• "Isomorphs" in liquid state diagrams
• Statics and Dynamics of Strongly Charged Soft Matter
• Pressure-energy correlations in liquids. I. Results from computer simulations
• Dynamical correlations and collective excitations of Yukawa liquids
• Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
• Anomalous structure and dynamics of the Gaussian-core fluid
• What constitutes a simple liquid?
• Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system
• RUMD: A general purpose molecular dynamics package optimized to utilize GPU hardware down to a few thousand particles
• Relationship between Structure, Entropy and Diffusivity in Water and Water-like Liquids
• Fluid-solid phase transitions in 3D complex plasmas under microgravity conditions
• Isomorphs in model molecular liquids
• Isomorphs, hidden scale invariance, and quasiuniversality
• Invariants in the Yukawa system's thermodynamic phase diagram
• The Rosenfeld-Tarazona expression for liquids' specific heat: A numerical investigation of eighteen systems
• Statistical mechanics of Roskilde liquids: Configurational adiabats, specific heat contours and density dependence of the scaling exponent
• Estimating the density-scaling exponent of a monatomic liquid from its pair potential
• The EXP pair-potential system. II. Fluid phase isomorphs
• Isomorph-based empirically modified hypernetted-chain approach for strongly coupled Yukawa one-component plasmas
• Studies of the Lennard-Jones fluid in 2, 3, and 4 dimensions highlight the need for a liquid-state 1/d expansion
• Testing the isomorph invariance of the bridge functions of Yukawa one-component plasmas. I. Intermediate and long range
• Structure of molecular liquids: cavity and bridge functions of the hard spheroid fluid
• Testing the isomorph invariance of the bridge functions of Yukawa one-component plasmas. II. Short range
• The EXP pair-potential system. I. Fluid phase isotherms, isochores, and quasiuniversality
• Computer simulation study of the closure relations in hard sphere fluids
• On the advanced integral equation theory description of dense Yukawa one-component plasma liquids
• Isomorph invariance and thermodynamics of repulsive dense bi-Yukawa one-component plasmas
• Monte Carlo simulations of the screening potential of the Yukawa one-component plasma

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