It is shown that the free energy of a volume V of an isotropic system of nonuniform composition
or density is given by : N V ∫ V [f 0 (c)+κ(▿c) 2 ]dV, where N V is the number of molecules …

It is shown that transformations which nucleate heterogeneously will quite often obey a rule
of additivity and transform nonisothermally according to simple rate laws which can be …

We show by using formal asymptotics that the zero level set of the solution to the Cahn–Hilliard
equation with a concentration dependent mobility approximates to lowest order in ɛ. an …

The theory of phase separation from a single phase fluid by a spinodal mechanism is given.
The predicted structure may be described in terms of a superpositioning of sinusoidal …

The theory of crystal growth for diffuse and for non-singular surfaces is re-examined. It is
found that if a critical driving force is exceeded the surface will be able to advance normal to …

The anisotropy of all factors influencing the mechanism of spinodal decomposition is considered
for crystals of cubic symmetry. It is found that no anisotropy is introduced by the incipient …

The thermodynamic treatment of nonuniform systems of Cahn and Hilliard is shown to be
equivalent to the self‐consistent thermodynamic formalism of Hart. All parameters of the two …

Rate laws are derived for transformations in which the new phase nucleates on grain boundary
surface, grain edges, or grain corners, and in which the new phase grows with constant …

… aj, the difference between j and a line tangent to j at co, is depicted for several values of under
saturation in Fig… A criticism of this paper by JW Cahn and B. Widom will be submitted. 12A. …

By finding the saddle point in the expression derived in Paper I (see reference 8) for the free
energy of a nonuniform system, we have derived the properties of a critical nucleus in a two‐…