Abstract
The response of the incommensurate structure with a free boundary on the varying equilibrium wave-vector is studied within the Frenkel-Kontorowa model, the model with a piecewise parabolic potential and the random pinning model. The penetration depth of the equilibrium configuration into the metastable region is calculated. It is shown to remain finite for the piecewise parabolic model and the random model. On the other hand the depth diverges on approaching the unpinned configuration in a Frenkel-Kontorowa model. The relation to the interfaces and the thermal hysteresis in incommensurate structures is also discussed.
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