Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators

Details Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators

2000-03-09

arxiv.org/abs/cond-mat/0003146v2

J. Phys.: Condens. Matter 13, 1181-1192 (2001).

Physics

Condensed Matter

Soft Condensed Matter

13 pages (LaTeX) with 10 figures (EPS)

Scientific paper

10.1088/0953-8984/13/6/301

We consider a curved chain of nonlinear oscillators and show that the interplay of curvature and nonlinearity leads to a number of qualitative effects. In particular, the energy of nonlinear localized excitations centered on the bending decreases when curvature increases, i.e. bending manifests itself as a trap for excitations. Moreover, the potential of this trap is double-well, thus leading to a symmetry breaking phenomenon: a symmetric stationary state may become unstable and transform into an energetically favorable asymmetric stationary state. The essentials of symmetry breaking are examined analytically for a simplified model. We also demonstrate a threshold character of the scattering process, i.e. transmission, trapping, or reflection of the moving nonlinear excitation passing through the bending.

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