Discrete breathers in a nonlinear polarizability model of ferroelectrics.

@article{Hoogeboom2012DiscreteBI,
  title={Discrete breathers in a nonlinear polarizability model of ferroelectrics.},
  author={C. Hoogeboom and Panayotis G. Kevrekidis and Avadh Saxena and A. R. Bishop},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 6 Pt 2},
  pages={
          066601
        }
}
We present a family of discrete breathers, which exists in a nonlinear polarizability model of ferroelectric materials. The core-shell model is set up in its nondimensionalized Hamiltonian form and its linear spectrum is examined in a range of temperatures. Subsequently, seeking localized solutions in the gap of the linear spectrum, we establish that numerically exact and potentially stable discrete breathers exist for a wide range of frequencies therein. In addition, we present nonlinear… CONTINUE READING
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