https://doi.org/10.1007/s100510070080
Growth of entropy stabilized quasicrystals
Laboratoire de Physique des Solides, Université Paris-Sud,
Bâtiment 510, 91405 Orsay Cedex, France
Received:
30
June
2000
Published online: 15 November 2000
A simplified version of the model by Elser and Joseph for the process of
growth of an entropically stabilized, two-dimensional quasicrystal
with no dynamics in the bulk, is proposed.
The phason fluctuations are modeled
by a scalar field on a periodic lattice.
The choice of the master equation for the growth is restricted by the
requirement that its detailed balance solution describes the equilibrium
fluctuations of the field with a quadratic Hamiltonian. The model is
parametrized by the chemical potential bias 
and the microscopic
surface tension coefficient σ.
The phase diagram of the system on the plane (σ, )
shows several distinct regimes of growth, separated by relatively narrow
transition zones. Within the regions corresponding to these regimes, the
phason fluctuations do not depend on and σ. Analytic
expressions for the spectra of phason fluctuations are obtained and
confirmed by numerical simulation.
PACS: 61.44.Br – Quasicrystals / 81.10.Aj – Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
