Internal energy of the classical two- and three-dimensional one-component-plasma

Abstract

We summarize several semi-phenomenological approaches to estimate the internal energy of one-component-plasma (OCP) in two (2D) and three (3D) dimensions. Particular attention is given to a hybrid approach, which reproduces the Debye-H$\ddot{\text{u}}$ckel asymptote in the limit of weak coupling, the ion sphere (3D) and ion disc (2D) asymptotes in the limit of strong coupling, and provides reasonable interpolation between these two limits. More accurate ways to estimate the internal energy of 2D and 3D OCP are also discussed. The accuracy of these analytic results is quantified by comparison with existing data from numerical simulations. The relevance of the KTHNY theory in locating melting transition in 2D OCP is briefly discussed.

to be published in Contributions to Plasma Physics (2016)

References in corpus (6)

• 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
• Fluid approach to evaluate sound velocity in Yukawa systems (complex plasmas)
• Practical expressions for the internal energy and pressure of Yukawa fluids
• Practical thermodynamics of Yukawa systems at strong coupling
• Ion sphere model for Yukawa systems (dusty plasmas)
• Thermodynamics of Yukawa fluids near the one-component-plasma limit

Cited by in corpus (25)

• Lindemann melting criterion in two dimensions
• Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
• Thermodynamics of two-dimensional Yukawa systems across coupling regimes
• Thermodynamics and dynamics of two-dimensional systems with dipole-like repulsive interactions
• Elementary vibrational model for transport properties of dense fluids
• Minima of shear viscosity and thermal conductivity coefficients of classical fluids
• High-frequency elastic moduli of two-dimensional Yukawa fluids and solids
• Vibrational model of thermal conduction for fluids with soft interactions
• Collective modes of two-dimensional classical Coulomb fluids
• Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality
• Two-body entropy of two-dimensional fluids
• Onset of negative dispersion in one-component-plasma revisited
• The boundary density profile of a Coulomb droplet. Freezing at the edge
• Note: Melting criterion for soft particle systems in two dimensions
• Collective modes in two-dimensional one-component-plasma with logarithmic interaction
• $Abinitio$ thermodynamics of one-component plasma for astrophysics of white dwarfs and neutron stars
• Structure and thermodynamics of two dimensional Yukawa liquids
• Transverse density fluctuations around the ground state distribution of counterions near one charged plate: stochastic density functional view
• Vibrational model of heat transfer in strongly coupled Yukawa fluids (dusty plasma liquids)
• Thermal conduction in two-dimensional complex plasma layers
• Quasi-universal behaviour of shear relaxation times in simple fluids
• Grüneisen parameter for strongly coupled Yukawa systems
• Note: Shoving model and the glass transition in one-component plasma
• Vibrational model of entropy in dense two-dimensional fluids
• Excess entropy scaling of the transverse sound speed in simple fluids