| Farey fractions and the Frenkel-Kontorova model | |
|---|---|
| 學年 | 85 |
| 學期 | 2 |
| 出版（發表）日期 | 1997-03-01 |
| 作品名稱 | Farey fractions and the Frenkel-Kontorova model |
| 作品名稱（其他語言） | |
| 著者 | Kao, Hsien-chung; Lee, Shih-Chang; Tzeng, Wen-Jer |
| 單位 | 淡江大學物理學系 |
| 出版者 | College Park: American Physical Society |
| 著錄名稱、卷期、頁數 | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 55(3), pp.2628-2631 |
| 摘要 | We solved the Frenkel-Kontorova model with the potential V(u)=-λ(u-Int[u]-1/2)2/2 exactly. For given λ>0, there exists a positive integer qc such that the winding number ω of the minimum enthalpy state is locked to rational numbers in the qcth row of Farey fractions. For fixed ω=p/q, there is a critical λc when a first order phase transition occurs. This phase transition can be understood as the dissociation of a large molecule into two smaller ones in a manner dictated by the Farey fractions. |
| 關鍵字 | Exactly Solvable and Integrable Systems (nlin.SI);Condensed Matter (cond-mat) |
| 語言 | en |
| ISSN | 1063-651X |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27841 ) |
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