教師資料查詢 | 類別: 期刊論文 | 教師: 高賢忠 KAO HSIEN-CHUNG (瀏覽個人網頁)

標題:Frenkel-Kontorova model with pinning cusps
學年86
學期1
出版(發表)日期1997/08/15
作品名稱Frenkel-Kontorova model with pinning cusps
作品名稱(其他語言)
著者Kao, Hsien-Chung; 高賢忠; Lee, Shih-Chang; Tzeng, Wen-Jer
單位
出版者
著錄名稱、卷期、頁數Physica D: Nonlinear Phenomena 107, pp.30-42
摘要A Frenkel-Kontorova model with a piecewise concave parabolic potential with downward cusps such that atoms could be pinned at the potential minima is exactly solved. An infinite series of first-order transitions, which may be understood as the dissociation of a large “molecule” into two smaller ones, is found as the strength of the potential increases from zero. The minimum energy configurations need not have a well-defined winding number. Given the winding number, the ground state configurations in general are highy degenerate and it is shown that one of them can be depicted by an increasing hull function. A novel type of non-recurrent minimum energy configuration, which may be viewed as defects carrying “fractional charge”, exists.
關鍵字Frenkel-Kontorova model;Farey fraction;Fractional charge;Area-preserving maps;Harmless staircase
語言英文
ISSN
期刊性質國內
收錄於
產學合作
通訊作者
審稿制度
國別中華民國
公開徵稿
出版型式,電子版,紙本
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