Correlations in classical ground states
The author gives a purely mathematical treatment of the problem of spatial symmetry in low-temperature crystals where the energy ground states tend to be periodic. The author states to have essentially solved the problem for one-dimensional models in previous papers. In this paper the problem is treated for two- and three-dimensional models. It is shown that energy ground states here tend to have a homogeneity property at least in an average sense, whereby ``homogeneous'' is taken to mean that the configuration is essentially identical (statistically) in any two congruent regions much larger than the period. No physical or technical applications are given.
spatial symmetry in low-temperature crystals
scientific article; zbMATH DE number 4028595