A lattice gas system of particles and vacancies or a binary mixture of black and white particles.
Interaction energies of nearest neighbor particles. In a binary mixture we can define three interaction energies.
Three white particles and their nearest-neighbors. The ratio of black and white neighbors equals, only on the average, the ratio of black and white particles in the system.
Free energy curves at different temperatures/interactions (top). The graphical construction of a phase diagram (bottom) based on the minima of the free energy.
Concept map for the binary mixture model derivation.
The varying composition at the interfacial region between the two phases.
Concept map for the general modeling sequence of the free energy analysis.
An individual amphiphile molecule dispersed in (a) the solvent and (b) in a spherical aggregate.
Concept map for the modeling sequence of micellar self-assembly using a free energy analysis.
Fraction of amphiphilic molecules in monomers or in micelles as a function of the total amphiphile concentration.
A lattice model of a polymer chain, R is the end-to-end distance.
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