Complex ground states appearing in classical lattice gas models and their behaviour in the presence of thermal motions are discussed. Our examples consist of a nearest-neighbour model based on nonperiodic tilings of the plane and an Ising type model with a fractal ground state.
Miekisz, J. (1992). Low-temperature Stability of Nonperiodic Structures. Physica A: Statistical Mechanics and its Applications, 185(1-4), 151-153. https://doi.org/10.1016/0378-4371(92)90449-Z (Original work published 1992)