Ellen J. Yoffa, David Adler
Physical Review B
Inspired by phason dynamics in tiling models of quasicrystals, we investigate a class of constrained Ising models. Phason shifts in the Penrose tiling model of quasicrystals appear as flips of rows of tiles, known as worms. When worms cross one another, a hierarchy is established in which some of the worms cannot flip until others have. A complex set of constraints on worm flips is thereby introduced by the intricate pattern of worm crossings in quasicrystalline tilings. We introduce a simple model of interacting sets of one-dimensional Ising chains that mimics this set of constraints and study the possible consequences of these constraints for phason dynamics and the relaxation of phason strain in quasicrystals. © 1990 The American Physical Society.
Ellen J. Yoffa, David Adler
Physical Review B
John G. Long, Peter C. Searson, et al.
JES
Frank R. Libsch, Takatoshi Tsujimura
Active Matrix Liquid Crystal Displays Technology and Applications 1997
J.R. Thompson, Yang Ren Sun, et al.
Physica A: Statistical Mechanics and its Applications