Equilibrium properties and phase diagram of two-dimensional Yukawa systems

Abstract

Properties of two-dimensional strongly coupled Yukawa systems are explored through molecular dynamics simulations. An effective coupling coefficient gamma* for the liquid phase is introduced on the basis of the constancy of the first peak amplitude of the pair-correlation functions. Thermodynamic quantities are calculated from the pair-correlation function. The solid-liquid transition of the system is investigated through the analysis of the bond-angular order parameter. The static structure function satisfies consistency relation, attesting to the reliability of the computational method. The response is shown to be governed by the correlational part of the inverse compressibility. An analysis of the velocity autocorrelation demonstrates that this latter also exhibits a universal behavior.

Superdiffusion of two-dimensional Yukawa liquids due to a perpendicular magnetic field

“…The simulation parameters are chosen so that the collection of dust particles will behave as a liquid, according to the phase diagram of [67]. To describe the dust particle charge, kinetic temperature T and areal number density, we use the dimensionless quantities Γ = Q 2 /(4πǫ 0 ak B T ) and κ ≡ a/λ D .…”

Thermodynamics of Yukawa fluids near the one-component-plasma limit

“…The term −u pl is sometimes referred to as the positive Hartree part, while the total energy is then called the correlational part [33]. Obviously, the energy of the SCYS in two dimensions can be obtained as a sum of the Hartree and the correlational parts.…”

“…figure we assumed Γ m = 140 for the logarithmic interaction [16,29,30] and Γ m = 137 for the Coulomb interaction [33]. The closeness of Γ m values for these two systems is likely a coincidence, since the physical meaning of the coupling parameters is quite different for the logarithmic and Coulomb interactions.…”

“…The dependence Γ m (κ) for two dimensional Yukawa systems has been approximated in Ref. [33] by the following fit…”

Binary crystals in two-dimensional two-component Yukawa mixtures

“…In previous works, such a classical binary mixture with Yukawa interactions in three-dimensions has been used as a model to study mixing rules [13], effective forces [14], fluid-fluid phase separation [15,16,17], dynamical correlations [18,19] and transport properties [20]. Likewise the pure (one-component) Yukawa system was also studied in two-spatial dimensions for fluid structure [21,22,23,24], dynamics [25,26,27,28] and transport properties [29]. Binary mixtures of Yukawa particles in two dimensions have also been studied for fluid structure [30], adsorption [31], interfaces [32] and transport [33].…”