Devil's staircase and order without periodicity in classical condensed matter

@article{Aubry1982DevilsSA,
  title={Devil's staircase and order without periodicity in classical condensed matter},
  author={S. Aubry},
  journal={Journal De Physique},
  year={1982},
  volume={44},
  pages={147-162}
}
  • S. Aubry
  • Published 1 February 1983
  • Materials Science
  • Journal De Physique
The existence of incommensurate structures proves that crystal ordering is not always the most stable one for nonquantum matter. Some properties of structures which are obtained by minimizing a free energy are investigated in the Frenkel Kontorova and related models. It is shown that an incommensurate structure can be either quasi-sinusoidal with a phason mode or built out of a sequence of equidistant defects (discommensurations) which are locked to the lattice by the Peierls force. In that… 

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