R. Achrayah et M. Baus, THERMODYNAMIC STABILITY OF PERIODIC AND QUASI-PERIODIC CRYSTALS WITHIN A VAN-DER-WAALS APPROXIMATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 4361-4367
We investigate the relation between the thermodynamic stability of per
iodic and quasiperiodic crystals and the characteristics of the intera
ction potential within a simple van der Waals approximation to the fre
e energy of a one-component two-dimensional system We find that thermo
dynamically stable quasiperiodic crystals can be found only when the i
nteraction potential has at least two negative minima separated by a p
ositive maximum.