教師資料查詢 | 類別: 期刊論文 | 教師: 曾文哲 Tzeng,Wen-jer (瀏覽個人網頁)

標題: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)
語言英文
ISSN1063-651X
期刊性質國外
收錄於SCI
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式紙本
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