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題名: | Morse-type Frenkel-Kontorova model |
作者: | Chou, Chung-I.;Ho, Choon-Lin;Hu, Bambi;Lee, Hsuan |
貢獻者: | 淡江大學物理學系 |
日期: | 1998-03 |
上傳時間: | 2013-07-09 15:18:15 (UTC+8) |
出版者: | College Park: American Physical Society |
摘要: | We have investigated a generalized Frenkel-Kontorova model with a Morse-type potential which can change from a convex function to a nonconvex one as the nonlinearity parameter σ is reduced. For small enough σ, there appear in the phase diagram nonconvex phases in which at least one pair of atoms is influenced by the nonconvex part of the Morse potential. There are no incommensurate states in the nonconvex phases. For σ>0.35, a devil’s staircase along the critical points of the Aubry transitions of all incommensurate states can be constructed. We studied the universality of the Hausdorff dimension of the devil’s staircase, and of some critical exponents relevant to the Aubry transitions. |
關聯: | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 57(3), pp.2747-2756 |
DOI: | 10.1103/PhysRevE.57.2747 |
顯示於類別: | [物理學系暨研究所] 期刊論文
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