The interface between a liquid and its vapour

Abstract

The concentration profile in a multilayer model of a system containing two immiscible fluid phases is given by the solution of a non-linear, second-order difference equation. The surface excess thermodynamic functions of the system can be evaluated only if this solution is known. Assuming that the solution is symmetric, attempts to obtain an exact solution using a method described by Ono were unsuccessful, but a numerical method is described which enables approximate solutions of any desired accuracy to be obtained. The possible existence of asymmetric solutions has been examined. Symmetric solutions have also been obtained by methods that do not require any explicit assumption of symmetry.

Prediction of Thermodynamic Properties of Complex Fluids

“…can be rewritten in the following form: of small t a and t b , equations(77) and(78) give: , δx 1 and δx b are variations of x 1 and x b near the critical value (0.5). Equations(79) and(80) coincide with well-known equation for densities of coexisting phases near the critical point if ν a /2 and ν b /2 coincide with critical exponent β for two and three…”

“…In this paper, we propose a simple method of correcting critical points for mean-field theory of adsorption. For this purpose, we consider Ono-Kondo lattice density functional theory [76,77] which describes density gradients near phase boundaries and in nano-scale pores [78][79][80][81]. In the classical Ono-Kondo model [76], the vapor-liquid interface is represented by a lattice where each site either can be occupied by a molecule or empty.…”

“…In the classical Ono-Kondo model [76], the vapor-liquid interface is represented by a lattice where each site either can be occupied by a molecule or empty. Ono-Kondo theory also has been applied to liquid-solid and gas-solid interfaces [78][79][80][81][82][83].…”

Generalization of Theory for Estimation of Interfacial Energies

“…If z is the direction perpendicular to the interface, the local concentrations C\ and r2 are functions of z. The concentration profiles are not easy to compute (52), particularly for molecules of unequal size. Since the concentration profiles and radial distribution functions are not available, we can only assume that na and nb are constant and that the interface is sharp.…”

“…Measurements of (by/<5P)T for liquid-liquid systems are currently in progress in the senior author's laboratory. Thus AF/ = AF, m"deic -tr> * -1 or 2 (52) AU/ = AU, model6…”