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Odd and even intrinsic modes in diatomic nonlinear lattices

โœ Scribed by Nikos Flytzanis; Boris A. Malomed; Andreas Neuper

Book ID
104297365
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
442 KB
Volume
113
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

Systematic simulations of a one-dimensional diatomic dynamical lattice with cubic and quartic anharmonicity demonstrate that the odd (Sievers-Takeno) intrinsic mode is stable at relatively low frequencies, being changed by the even (Page) one at some critical frequency. The transition between the two modes is hysteretic, i.e., it depends upon the direction of change ofAhe frequency. The critical frequency is a growing function of the mass difference between the particles with the odd and even numbers, but it proves to be practically independent of the ratio between the quadratic and cubic terms in the equations of motion.

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โœ Jun Yu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

The staggered soliton mode, which was first discovered in polyacetylene, was observed by Lou et al. in a one-dimensional nonlinear pendulum-lattice. Some recurrence phenomena of the amplitude of the staggered mode in a macro-lattice system are investigated. The experimental result shows that the amp