Universality in Frenkel-Kontorova model with a cosh-type interaction

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Title:	Universality in Frenkel-Kontorova model with a cosh-type interaction
Authors:	Chou, Chung-I;Ho, Choon-lin;Hu, Bambi
Contributors:	淡江大學物理學系
Date:	1997-05
Issue Date:	2013-07-09 15:17:56 (UTC+8)
Publisher:	College Park: American Physical Society
Abstract:	We have studied a generalized Frenkel-Kontorova model with a cosh-type interaction. A distinctive feature of the model is that the winding number of the last Kolmogorov-Arnold-Moser torus could deviate from the golden mean value for a very large degree of nonlinearity. The singularity spectrum and the generalized fractal dimension depend on the nonlinearity spectrum. However, the critical exponents of the gap in the phonon spectrum, the correlation length, and the Peierls-Nabarro barrier are found to be the same as those found in the standard and Toda Frenkel-Kontorova models. Our conclusions agree with previous findings.
Relation:	Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 55(5), pp.5092-5101
DOI:	10.1103/PhysRevE.55.5092
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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