Abstract
Abstract A classical pseudo-spin model in one dimension is considered, representing a variation on the Frenkel—Kontorova model to include non-convex interactions, resulting in three competing length scales. An exact algorithm is used numerically to determine the classical ground state as a function of a chemical potential. Approximate arguments suggest that only a first order transition should occur. However, when the lengths are not rationally related, it is found that the mean lattice spacing appears to vary as a devil's staircase. The plateaus of the staircase correspond to locking to incommensurate structures while there is no locking to the commensurate ones. Most of the locking values observed numerically belong to a series which can be analytically calculated on the basis of simple topological hypotheses which are also consistent with numerical observations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
