Self-Sustained Kinks in a One-Dimensional Nonlinear Lattice with Dissipation
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- Takeno Shozo
- Department of Physics, Kyoto Institute of Technology
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- Kisoda Kenji
- Department of Electronics, Faculty of Engineering and Design, Kyoto Institute of Technology
Bibliographic Information
- Other Title
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- Self Sustained Kinks in a One-Dimension
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Abstract
Kinks connecting nondegenerate minima of an on-site potential of a one-dimensional nonlinear lattice with dissipation are studied. Such kinks are self-sustained ones in the sense that being a kink or an antikink and the kink velocity are uniquely related to a friction coefficient which is either positive or negative. Nonlinear lattice equations are solved numerically for a model on-site potential with anharmonicity up to the sixth order by using as an input a discrete version of exact one-kink solutions which exist in their continuum limit. The main result so obtained is: (1) a smooth propagation of a single kink with width down to about one-third of the lattice constant and (2) various features of two-kink states generated by kink-antikink head-on collisions which are different for different forms of the on-site potential and different colliding kink speeds.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 57 (3), 675-678, 1988
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390282679163693568
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- NII Article ID
- 110001976497
- 210000094447
- 130003899759
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- NII Book ID
- AA00704814
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- BIBCODE
- 1988JPSJ...57..675T
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 3178373
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed