Spiraling solitons: A continuum model for dynamical phyllotaxis of physical systems.

  title={Spiraling solitons: A continuum model for dynamical phyllotaxis of physical systems.},
  author={Cristiano Nisoli},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={80 2 Pt 2},
  • C. Nisoli
  • Published 14 July 2009
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
A protean topological soliton has recently been shown to emerge in systems of repulsive particles in cylindrical geometries, whose statics is described by the number-theoretical objects of phyllotaxis. Here, we present a minimal and local continuum model that can explain many of the features of the phyllotactic soliton, such as locked speed, screw shift, energy transport, and--for Wigner crystal on a nanotube--charge transport. The treatment is general and should apply to other spiraling… 

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