Processing the experimental tie-lines in the miscibility gap of the Ba-Cu-Y ternary liquid alloys coupled with the Gibbs energies of the Ba-Cu and Cu-Y binaries estimated earlier has led to description of the Gibbs energy of the ternary melt and to the complete ternary phase diagram. The transformation of an open triangular simplex to the plane that can ease significantly optimization and calcu...

In this paper we extend the influence diagram (ID) representation for decisions under uncertainty. In the standard ID, arrows into a decision node are only infonnational; they do not represent constraints on what the decision maker can do. We can represent such constraints only indirectly, using arr ows to the children of the decision and sometimes adding more variables to the influence diagram...

Smit and Frenkel’ have shown that the phase diagram of the two-dimensional Lennard-Jones fluid depends largely on the details of the truncation of the potential. In this Note, Gibbs-ensemble calculations are reported for the three-dimensional Lennard-Jones fluid. As expected, the phase diagram for this system also depends significantly on the details of the truncation. The Lennard-Jones potenti...

In the present paper the three state Potts model with competing binary interactions (with couplings J and Jp) on the second order Bethe lattice is considered. The recurrent equations for the partition functions are derived. When Jp = 0, by means of a construction of a special class of limiting Gibbs measures, it is shown how these equations are related with the surface energy of the Hamiltonian...

We study interfaces between two coexisting stable phases for a general class of lattice models. In particular, we are dealing with the situation where several different interface configurations may enter the competition for the ideal interface between two fixed stable phases. A general method for constructing the phase diagram is presented. Namely, we give a prescription determining which of th...

We investigate the low-temperature phase diagram of the d-dimensional (d~> 2) solid-on-solid (SOS) interface constrained to lie above a rigid wall to which it is attracted by a constant force. We prove uniqueness of the Gibbs state and exponentially fast convergence (in the diameter of the domain) of the finitevolume expectation of local observables, for all values of parameters where uniquenes...

We introduce a simple and predictive model for determining the phase stability of ternary phospholipid-cholesterol mixtures. Assuming that competition between the liquid and gel order of the phospholipids is the main driving force behind lipid segregation, we derive a Gibbs free energy of mixing, based on the thermodynamic properties of the lipids main transition. A numerical approach was devis...

The coulometric titration technique is extended to treat general cases of systems of any number of components. Complete equilibrium phase diagrams and thermodynamic properties are obtained from readily and precisely measurable electrical quantities, employing only a small number of samples. General equations are derived which directly relate the cell voltage to the standard Gibbs energies, enth...