From Finite to Infinite Range Order via Annealing:
The Causal Architecture of Deformation Faulting in
Annealed Close-Packed Crystals

Dowman P. Varn and James P. Crutchfield
Santa Fe Institute
1399 Hyde Park Rd.
Santa Fe, NM 87501, USA

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.

Citation

D. P. Varn and J. P. Crutchfield
From Finite to Infinite Range Order via Annealing: The Causal Architecture of Deformation Faulting in Annealed Close-Packed Crystals ,
Santa Fe Institute Working Paper 03-07-045; http://arXiv.org/abs/cond-mat/0307296.

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