Static and dynamical phyllotaxis in a magnetic cactus.

  title={Static and dynamical phyllotaxis in a magnetic cactus.},
  author={Cristiano Nisoli and Nathaniel M. Gabor and Paul E. Lammert and J D Maynard and Vincent H. Crespi},
  journal={Physical review letters},
  volume={102 18},
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. 

Figures from this paper

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

  • C. Nisoli
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
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 is presented.

Annealing a magnetic cactus into phyllotaxis.

This work provides experimental and numerical evidence that the Phyllotactic lattice is actually a ground state, and employs a structural genetic algorithm to explore the more general axially unconstrained case, which reveals multijugate (multiple spirals) as well as monojugates (single-spiral) phyllotaxis.

Fibonacci Numbers and the Golden Ratio in Biology, Physics, Astrophysics, Chemistry and Technology: A Non-Exhaustive Review

Fibonacci numbers and the golden ratio can be found in nearly all domains of Science, appearing when self-organization processes are at play and/or expressing minimum energy configurations. Several

Noise and Robustness in Phyllotaxis

This work incorporated stochasticity in the model and found three main classes of defects in spiral phyllotaxis – the reversal of the handedness of spirals, the concomitant initiation of organs and the occurrence of distichous angles – and investigated whether a secondary inhibitory field filters out defects.

Convergence in a disk stacking model on the cylinder

π-π orbital resonance in twisting duplex DNA: Dynamical phyllotaxis and electronic structure effects

The presence of synchronized, collective twist motions of the Watson-Crick base pairs in DNA duplexes (helicoidal standing waves) can efficiently enhance the pi-pi orbital overlapping between

Formation and crossover of multiple helical dipole chains

It is demonstrated that all possible configurations form a self-similar bifurcation diagram which can be linked to the Stern–Brocot tree and the underlying Farey sequence.

Shape Limit in Triangular Spiral Tilings

Phyllotaxis is the study of arrangements of leafs and orets. The topology of triangular spiral (multiple) tilings with opposed parastichy pairs is intimately related to the phyllotaxis theory and

Can magnetism-assisted quasiperiodic structures in Russell-FeS `bubbles' offer a quantum coherent origin of life?

This paper seeks to expand the scope of the alkaline seepage site hydrothermal mound scenario of Russell et al, by appealing to its wider canvas for hypothesizing self-assembly of gregite clusters



Energetic Approach to Phyllotaxis

Soft lattices subjected to strong compression are studied. Their equilibrium states form a hierarchical system of quasi-bifurcations. Underlying SL(2, Z) ⊗ Z2 symmetry of the problem is revealed. The

Phyllotaxis as a physical self-organized growth process.

A specific crystalline order, involving the Fibonacci series, had until now only been observed in plants (phyllotaxis). Here, these patterns are obtained both in a physics laboratory experiment and

Phyllotaxis of flux lattices in layered superconductors.

  • Levitov
  • Physics
    Physical review letters
  • 1991
It is shown that dynamically accessible lattices are characterized by pairs of consecutive Fibonacci numbers.

A History of the Study of Phyllotaxis

The study of the patterns formed by similar units in plants is traced from the first primitive observations in ancient times to the sophisticated studies of today, with the realization that phenomena similar to phyllotaxis occur in realms outside of botany.

Molecules on kepler orbits: An experimental study

We have demonstrated experimentally that polar molecules revolve around the inner electrode of a charged cylindrical capacitor in helical trajectories that result from a superposition of a

Pinned Wigner crystals

We study the effects of weak disorder on a Wigner crystal in a magnetic field. We show that an elastic description of the pinned Wigner crystal provides an excellent framework to obtain most of the

Structure of a one-component plasma in an external field: A molecular-dynamics study of particle arrangement in a heavy-ion storage ring.

The results show an unexpected stratification of density in the lateral direction, and a tendency towards a first-neighbor coordination of 14 (8+6) seems incipient.

Two-dimensional melting

For a decade now the subject of the nature of the two-dimensional melting transition has remained controversial. An elegant theory based on the unbinding of pairs of crystal defects suggested that

Principles of condensed matter physics

Preface 1. Overview 2. Structure and scattering 3. Thermodynamics and statistical mechanics 4. Mean-field theory 5. Field theories, critical phenomena, and the renormalization group 6. Generalized