Ground states of a generalized Frenkel-Kontorova model

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	Ground states of a generalized Frenkel-Kontorova model
	A. G. Xu; G. R. Wang; S. G. Chen; Z. R. Yang
	2000
发表期刊	Communications in Theoretical Physics
ISSN	0253-6102
卷号	34 期号:3 页码:419-432
摘要	We studied the modulated structures and commensurate-incommensurate transitions in a generalized Frenkel-Kontorova (FK) model where the chain is composed of three kinds of atoms. For the classical ground states, the phase diagram and the phonon spectrum show the multi-atomic effects. For the quantum ground states, the multi-atomic effects are reflected by the distribution of atoms in external potential, the phase diagram, the correspondences between the ground states and the orbits of the area-preserving maps, as well as the phonon spectrum and coherence length. For the most incommensurate structure, the critical point K-c at which the transition by breaking of analyticity occurs does not vary monotonically with A. For the case of mu (A) = mu (B) = 1 and mu (C) = 2, with the increasing of (h) over bar, the critical point K-c first decreases, then increases. The minimum value of K-c occurs at nearly (h) over bar = 0.035. When K < K-c, the phonon gap (G) = 0 and the Lyapunov exponent gamma = 0, the system is in the sliding state. When K > K-c, the phonon gap and the Lyapunov exponent show great difference from those of the standard FK model.
部门归属	beijing normal univ, dept phys, beijing 100875, peoples r china. inst appl phys & computat math, ctr nonlinear studies, beijing 100088, peoples r china. acad sinica, int ctr mat phys, shenyang 110015, peoples r china.;xu, ag (reprint author), beijing normal univ, dept phys, beijing 100875, peoples r china
关键词	Fk Model Ci Transition Coherent State Degree-of-freedom Nonconvex Interactions Transversal Degree Critical-behavior Devils Staircase Kinks Transition Analyticity Potentials Mechanism
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WOS记录号	WOS:000165285100006
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/37218
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	A. G. Xu,G. R. Wang,S. G. Chen,et al. Ground states of a generalized Frenkel-Kontorova model[J]. Communications in Theoretical Physics,2000,34(3):419-432.
APA	A. G. Xu,G. R. Wang,S. G. Chen,&Z. R. Yang.(2000).Ground states of a generalized Frenkel-Kontorova model.Communications in Theoretical Physics,34(3),419-432.
MLA	A. G. Xu,et al."Ground states of a generalized Frenkel-Kontorova model".Communications in Theoretical Physics 34.3(2000):419-432.