Ae. Elhassan et al., A RIGOROUS MATHEMATICAL PROOF OF THE AREA METHOD FOR PHASE-STABILITY, Industrial & engineering chemistry research, 37(4), 1998, pp. 1483-1489
The paper introduces new developments of the original AREA method. A r
igorous mathematical proof that the equilibrium points are the only on
es which satisfy the maximum AREA criterion in the case of a two-compo
nent, two-phase system is given for the first time. A rigorous proof t
hat the maximum AREA criterion is a necessary but not a sufficient con
dition for equilibrium in the case of an N-component, two-phase system
is given also for the first time in the paper. Two test examples whic
h reinforce the validity of the theoretical results obtained are prese
nted and discussed.