淡江大學機構典藏:Item 987654321/72647
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    Title: Exactly solved frenkel-kontorova model--almost everywhere concave potential
    Authors: Lee, Shih-Chang;Tzeng, Wen-Jer
    Contributors: 淡江大學物理學系
    Date: 1997-02
    Issue Date: 2013-06-13 11:23:11 (UTC+8)
    Publisher: Taipei: Zhonghua Minguo Wuli Xuehui
    Abstract: We solved the Frenkel-Kontorova model with the potential V(u) = -λ(u - Int[u] -1/2)2/2 exactly. The minimum energy configurations and recurrent configurations with fixed winding number are completely characterized. The average energy per atom of different configurations are explicitly calculated, which is used to determine the ground state configuration with a given winding number. The evolution of the ground state configurations is shown to be dictated by the Farey fractions.
    Relation: Chinese Journal of Physics=中國物理學刊 35(1), pp.56-68
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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