While the statics of many simple physical systems reproduce the striking number-theoretical patterns found in the phyllotaxis of living beings, their dynamics reveal unusual excitations: multiple classical rotons and a large family of interconverting topological solitons. As we introduce those, we also demonstrate experimentally for the first time Levitov’s celebrated model for phyllotaxis. Applications at different scales and in different areas of physics are proposed and discussed.
Physical Review Letters
- Pub Date:
- May 2009
- Low-dimensional mesoscopic and nanoscale systems: structure and nonelectronic properties;
- Phonons or vibrational states in low-dimensional structures and nanoscale materials;
- Condensed Matter - Soft Condensed Matter
- Phys. Rev. Lett. accepted for publication