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

@article{Nisoli2009SpiralingSA, 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}, year={2009}, volume={80 2 Pt 2}, pages={ 026110 } }

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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