Isomorph invariance and thermodynamics of repulsive dense bi-Yukawa one-component plasmas

Abstract

In numerous realizations of complex plasmas, dust-dust interactions are characterized by two screening lengths and are thus better described by a combination of Yukawa potentials. The present work investigates the static correlations and the thermodynamics of repulsive dense bi-Yukawa fluids based on the fact that such strongly coupled systems exhibit isomorph invariance. The strong virial-potential energy correlations are demonstrated with the aid of molecular dynamics simulations, an accurate analytical expression for the isomorph family of curves is obtained and an empirical expression for the fluid-solid phase-coexistence line is proposed. The isomorph-based empirically modified hypernetted-chain approach, grounded on the ansatz of isomorph invariant bridge functions, is then extended to such systems and the resulting structural properties show an excellent agreement with the results of computer simulations. A simple and accurate closed-form expression is obtained for the excess internal energy of dense bi-Yukawa fluids by capitalizing on the compact parameterization offered by the Rosenfeld-Tarazona decomposition in combination with the Rosenfeld scaling, which opens up the energy route to thermodynamics.

arXiv comment11 pages, 6 figures

References in corpus (19)

• "Isomorphs" in liquid state diagrams
• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• Pressure-energy correlations in liquids. I. Results from computer simulations
• Shifted forces in molecular dynamics
• Dynamical correlations and collective excitations of Yukawa liquids
• 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
• Practical expressions for the internal energy and pressure of Yukawa fluids
• Isomorphs, hidden scale invariance, and quasiuniversality
• Practical thermodynamics of Yukawa systems at strong coupling
• Invariants in the Yukawa system's thermodynamic phase diagram
• Ion sphere model for Yukawa systems (dusty plasmas)
• 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
• Glass-Transition Properties from Hard Spheres to Charged Point Particles
• NVU perspective on simple liquids' quasiuniversality
• Isomorph-based empirically modified hypernetted-chain approach for strongly coupled Yukawa one-component plasmas
• Fingerprints of different interaction mechanisms on the collective modes in complex (dusty) plasmas

Cited by in corpus (9)

• Testing the isomorph invariance of the bridge functions of Yukawa one-component plasmas. I. Intermediate and long range
• Testing the isomorph invariance of the bridge functions of Yukawa one-component plasmas. II. Short range
• On the advanced integral equation theory description of dense Yukawa one-component plasma liquids
• Bridge functions of classical one-component plasmas
• Excess entropy of strongly coupled Yukawa fluids
• Instantaneous shear modulus of Yukawa fluids across coupling regimes
• Structure and thermodynamics of two dimensional Yukawa liquids
• Isomorph invariance in the liquid and plastic-crystal phases of asymmetric-dumbbell models
• Inferring partial crystalline order in liquids from electrical resistivity