A Monte Carlo finite size scaling study of charged hard-sphere criticality

Abstract

Monte Carlo simulations of the critical region of the restricted primitive model are reported. Using mixed-field finite size scaling analysis we show that the critical behavior is compatible with Ising like behavior although due to statistical error on the simulation data and large correction-to-scaling contributions mean-field behavior cannot be totally excluded. With the assumption of Ising criticality the critical temperature is estimated to be 0.0488±0.0002 and the critical density 0.080±0.005.

Introduction to statistical mechanics of charged systems

“…The corresponding density of dipoles at criticality is then given by Eq. (55) [20,3,21], T * c = 0.051 and ρ * c = 0.079. The coexistence curve, however, is found to have an unrealistic "banana" shape [2].…”

New mean-field theories for the liquid–vapour transition of charged hard spheres

“…It seems now well established that the critical exponents of the RPM are those of the 3D Ising model 35,36,37,38 . The more recent estimates of the Orsay group for the critical temperature, density, and chemical potentials are Note that ϕ plays the role of the order parameter of the Landau theory.…”

Monte Carlo simulations of the critical properties of the restricted primitive model

“…Its magnitude, s ∼ −1.46 [29][30][31], is much higher than for neutral fluids (typically s ∼ 0.02 for square well or Lennard-Jones fluids [34]) which explains the large dissymmetry of the liquid-vapor coexistence curve of the RPM.…”

“…In [29,30] our attempts to match P L (M) on P * (x) were realized by using the estimate of P * is (x) made by Hilfer and Wilding [32] for the 3D Ising model. Two new -and better-estimates of P * is (x) obtained by Tsypin and Blöte [33] for the 3D Ising model and the spin-1 BlumeCapel model were considered in [31].…”