Ion sphere model for Yukawa systems (dusty plasmas)

Abstract

Application of the ion sphere model (ISM), well known in the context of the one-component-plasma, to estimate thermodynamic properties of model Yukawa systems is discussed. It is shown that the ISM approximation provides fairly good estimate of the internal energy of the strongly coupled Yukawa systems, in both fluid and solid phases. Simple expressions for the excess pressure and isothermal compressibility are derived, which can be particularly useful in connection to wave phenomena in strongly coupled dusty plasmas. It is also shown that in the regime of strong screening a simple consideration of neighboring particles interactions can be sufficient to obtain quite accurate estimates of thermodynamic properties of Yukawa systems.

arXiv commentPhysics of Plasmas (December 2014)

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• Practical expressions for the internal energy and pressure of Yukawa fluids
• On the long-waves dispersion in Yukawa systems
• Practical thermodynamics of Yukawa systems at strong coupling
• Thermodynamics of two-dimensional Yukawa systems across coupling regimes
• Onset of transverse (shear) waves in strongly-coupled Yukawa fluids
• Practical formula for the shear viscosity of Yukawa fluids
• Internal energy of the classical two- and three-dimensional one-component-plasma
• Isomorph-based empirically modified hypernetted-chain approach for strongly coupled Yukawa one-component plasmas
• Thermodynamics of Yukawa fluids near the one-component-plasma limit
• Vibrational model of thermal conduction for fluids with soft interactions
• Practical dispersion relations for strongly coupled plasma fluids
• Simple dispersion relations for Coulomb and Yukawa fluids
• Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality
• Dust acoustic waves in three-dimensional complex plasmas with a similarity property
• Dispersion relations of Yukawa fluids at weak and moderate coupling
• On the advanced integral equation theory description of dense Yukawa one-component plasma liquids
• Instantaneous shear modulus of Yukawa fluids across coupling regimes
• Isomorph invariance and thermodynamics of repulsive dense bi-Yukawa one-component plasmas
• Capacitively-coupled rf discharge with a large amount of microparticles: spatiotemporal emission pattern and microparticle arrangement
• Self-diffusion in single-component Yukawa fluids
• Structure and thermodynamics of two dimensional Yukawa liquids
• Self-Consistent Relaxation Theory of Collective Ion Dynamics in Yukawa One-Component Plasmas under Intermediate Screening Regimes
• Dim and bright void regimes in capacitively-coupled RF complex plasmas
• Elastic properties of Yukawa crystals
• Grüneisen parameter for strongly coupled Yukawa systems
• Neutron star crust in Voigt approximation II: general formula for electron screening correction for effective shear modulus
• Variational approach to Yukawa fluids. I. Thermodynamics