Abstract
We provide a variational description of nearest-neighbours and next-to-nearest neighbours binary lattice systems. By studying the Γ-limit of proper scaling of the energies of the systems, we highlight phase and anti-phase boundary phenomena and show how they depend on the geometry of the lattice.
| Original language | English |
|---|---|
| Pages (from-to) | 85-107 |
| Number of pages | 23 |
| Journal | Networks and Heterogeneous Media |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2006 |
| Externally published | Yes |
Keywords
- Lattice systems
- anti-phase boundaries
- binary alloys
- spin systems
- surface energies
- Γ-convergence