Self-Sustained Kinks in a One-Dimensional Nonlinear Lattice with Dissipation

  • Takeno Shozo
    Department of Physics, Kyoto Institute of Technology
  • Kisoda Kenji
    Department of Electronics, Faculty of Engineering and Design, Kyoto Institute of Technology

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  • Self Sustained Kinks in a One-Dimension

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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.

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