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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27792

    Title: Exactly solved Frenkel-Kontorova model with multiple subwells
    Authors: Lee, Shih-Chang;Tzeng, Wen-Jer
    Contributors: 淡江大學物理學系
    Keywords: analytic method;cluster analysis;model;phase transition;simulation;solvation;structure analysis
    Date: 2002-11
    Issue Date: 2013-07-09 15:19:01 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: We exactly solve a class of Frenkel-Kontorova models with a periodic potential composed of piecewise convex parabolas having the same curvature. All rotationally ordered stable configurations can be depicted with appropriate phase parameters. The elements of a phase parameter are grouped into subcommensurate clusters. Phase transitions, manifested in the gap structure changes previously seen in numerical simulations, correspond to the splitting and merging of subcommensurate clusters with the appearance of incommensurate nonrecurrent rotationally ordered stable configurations. Through the notion of elementary phase shifts, all the possibilities for the existence of configurations degenerate with the ground state are scrutinized and the domains of stability in the phase diagram are characterized. At the boundaries of a domain of stability, nonrecurrent minimum energy configurations are degenerate with the ground state configurations and phase transitions occur.
    Relation: Physical Review B (Condensed Matter and Materials Physics) 66(18), 184108(22pages)
    DOI: 10.1103/PhysRevB.66.184108
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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