From finite to infinite range order via annealing: The causal architecture of deformation faulting in annealed close-packed crystals Dowman P. Varn Santa Fe Institute James P. Crutchfield Santa Fe Institute Abstract: We analyze solid-state phase transformations that occur in zinc-sulfide crystals during annealing using a random deformation-faulting mechanism with a very simple interaction between adjacent close-packed double layers. We show that, through annealing, infinite-range structures emerge from initially short-range crystal order. That is, widely separated layers carry structurally significant information and so layer stacking cannot be completely described by any finite-range Markov process. We compare our results to two experimental diffraction spectra, finding excellent agreement. A copy of this paper in pdf format: From finite to infinite range order via annealing: The causal architecture of deformation faulting in annealed close-packed crystals Publisher's web site: Elsevier Science Direct Citation: D.P. Varn and J.P. Crutchfield, Phys. Lett. A 324/4 (2004) 299-307. Referee Reports