Exact Solution of Frenkel-Kontorova Models with a Complete Devil's Staircase in Higher Dimensions

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dc.creatorKao, Hsien-chung
dc.creatorLee, Shih-Chang
dc.creatorTzeng, Wen-Jer
dc.date1996-07-08
dc.date.accessioned2026-07-07T09:17:53Z
dc.date.available2026-07-07T09:17:53Z
dc.descriptionWe solve exactly a class of Frenkel-Kontorova models with piecewise parabolic potential, which has $d$ sub-wells in a period. With careful analysis, we show that the phase diagram of the minimum enthalpy configurations exhibits the structure of a complete $d$-dimensional devil's staircase. The winding number of a minimum enthalpy configuration is locked to rational values, while the fraction of atoms in each sub-well is locked to values which are sub-commensurable with the winding number.
dc.description14 pages, uses revtex. Four figures included
dc.identifierhttps://arxiv.org/abs/solv-int/9607001
dc.identifierhttp://arxiv.org/abs/solv-int/9607001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153832
dc.subjectExactly Solvable and Integrable Systems
dc.titleExact Solution of Frenkel-Kontorova Models with a Complete Devil's Staircase in Higher Dimensions
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