| 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 | en |
| ISSN | |
| 期刊性質 | 國內 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/108431 ) |
GoogleAnalytics