Growth of entropy stabilized quasicrystals |
| |
Authors: | P Kalugin |
| |
Institution: | (1) Laboratoire de Physique des Solides, Université Paris-Sud, Batiment 510, 91405 Orsay Cedex, France, FR |
| |
Abstract: | 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 . The phase diagram of the system on the plane (, ) 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 . Analytic expressions for the spectra of phason fluctuations are obtained and confirmed by numerical simulation.
Received 30 June 2000 |
| |
Keywords: | PACS 61 44 Br Quasicrystals - 81 10 Aj Theory and models of crystal growth physics of crystal growth crystal morphology and orientation |
本文献已被 SpringerLink 等数据库收录! |
|