Pressure of two-dimensional Yukawa liquids

Abstract

A simple analytic expression for the pressure of a two-dimensional Yukawa liquid is found by fitting results from a molecular dynamics simulation. The results verify that the pressure can be written as the sum of a potential term which is a simple multiple of the Coulomb potential energy at a distance of the Wigner-Seitz radius, and a kinetic term which is a multiple of the one for an ideal gas. Dimensionless coefficients for each of these terms are found empirically, by fitting. The resulting analytic expression, with its empirically determined coefficients, is plotted as isochores, or curves of constant area. These results should be applicable to monolayer dusty plasmas.

High-frequency elastic moduli of two-dimensional Yukawa fluids and solids

“…[7][8][9] Many studies have previously addressed important topic related to the thermodynamics and dynamics of 2D Yukawa crystals and fluids. [10][11][12][13][14][15][16][17][18][19][20][21] Most of these studies considered only one phase (either crystal or fluid). The purpose of this work is to present a physically motivated unified approach to evaluate elastic moduli and related properties of 2D Yukawa systems, which represents a good approximation in the strongly coupled fluid regime and becomes exact in the limit of an ideal crystalline lattice.…”

Thermodynamics of two-dimensional Yukawa systems across coupling regimes

“…Thermodynamic properties of 2D Yukawa systems have been of considerable continuous interest in the last couple of decades, largely in the context of complex plasmas. 12,13,[54][55][56][57][58] However, to the best of our knowledge, no comprehensive results across coupling regimes along with simple and reliable approximations convenient for practical use have been proposed. In the present paper, we study systematically thermodynamics of 2D Yukawa systems in a very broad parameter regime, from very weakly interacting gaseous state to strongly interacting fluid and solid states.…”

Equations of state and diagrams of two-dimensional liquid dusty plasmas

“…The pressure of 2D Yukawa liquids has been calculated from the shear stress tensor using the simulated particles' positions, velocities, and interparticle forces. 1 The two diagonal elements of the shear stress tensor P xx ðtÞ and P yy ðtÞ both fluctuate around a constant level of pA for 2D systems, where p is the pressure and A is the area of the total 2D system. To compare with other systems easily, we normalize both the temperature and pressure to be dimensionless.…”

“…In Ref. 1, it has been discovered that, for all simulated eleven isochores, the pressure of 2D Yukawa liquids can be analytically expressed as the sum of a potential term and a kinetic term…”