Free Energy Functionals in the Mesoscopic Description of Phase Transitions
2002, v.8, Issue 2, 339-350
A ferromagnetic spin system and a system of point particles in the continuum, both interacting with a long-range Kac-type potentials, are considered in a suitable scaled space coordinates (mesoscopic limit). The main issue is the description of the connection between the two phases which are present at low temperature, and the role of associated free-energy functionals is pointed out.
Keywords: nonlocal equations,fronts between phases