Entropic commensurate-incommensurate transition
Statistical Mechanics
2013-03-27 v2
Abstract
The equilibrium properties of a minimal tiling model are investigated. The model has extensive ground state entropy, with each ground state having a quasiperiodic sequence of rows. It is found that the transition from the quasiperiodic ground state to the high temperature disordered phase proceeds through a sequence of periodic arrangements of rows, in analogy with the Frenkel-Kontorova model, but with temperature playing the role of the strength of the substrate potential.
Cite
@article{arxiv.1211.6972,
title = {Entropic commensurate-incommensurate transition},
author = {Nikolai Nikola and Daniel Hexner and Dov Levine},
journal= {arXiv preprint arXiv:1211.6972},
year = {2013}
}