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

Journal Article · Thu May 01 00:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

OSTI ID:656937

Ho, C ^[1]; Hu, B ^[2]

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1. Department of Physics, Tamkang University, Tamsui, Taiwan 25137, Republic of (China)
2. Department of Physics and Centre for Nonlinear and Complex Systems, Hong Kong Baptist University, Kowloon (Hong Kong)

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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 656937
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANHARMONIC CRYSTALS
CRYSTAL MODELS
FRACTALS
LATTICE VIBRATIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PEIERLS-NABARRO FORCE
PHONONS