Some aspects of the microscopic theory of interfaces in classical lattice systems are developed. The problem of the appearance of facets in the (Wull) equilibrium crystal shape is discussed, togetherâ€¦ (More)

In this note, the statistical mechanics of SOS (solid-on-solid) 1-dimensional models under the global constraint of having a specified area between the interface and the horizontal axis, is studied.â€¦ (More)

According to the Wulff construction the shape of the equilibrium crystal is determined by the surface tension considered as a function of the interface orientation. We present some (conjectured)â€¦ (More)

In this note, the statistical mechanics of SOS (solid-on-solid) 1-dimensional models under the global constraint of having a speciied area between the interface and the horizontal axis, is studied.â€¦ (More)

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures.â€¦ (More)

Our aim in this contribution is to present some illustrations for the claim that already by looking at the ground states of classical lattice models, one may meet some interesting and non-trivialâ€¦ (More)

The effective interaction between the static particles in the Falicov-Kimball model is studied, for large values of the coupling constant, using a convergent cluster expansion. This text, presentedâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2002

We derive by microscopic techniques applied to a 3d lattice gas model, a generalization of Young's equation for rough and chemically heterogeneous substrates, which combines both Cassie's andâ€¦ (More)

Within a semiâ€“infinite threâ€“dimensional lattice gas model describing the coexistence of two phases on a substrate, we study, by cluster expansion techniques, the free energy (line tension) associatedâ€¦ (More)