English

Hexagons become second if symmetry is broken

Pattern Formation and Solitons 2009-11-11 v1

Abstract

Pattern formation on the free surface of a magnetic fluid subjected to a magnetic field is investigated experimentally. By tilting the magnetic field the symmetry can be broken in a controllable manner. When increasing the amplitude of the tilted field, the flat surface gives way to liquid ridges. A further increase results in a hysteretic transition to a pattern of stretched hexagons. The instabilities are detected by means of a linear array of magnetic hall sensors and compared with theoretical predictions.

Keywords

Cite

@article{arxiv.nlin/0504008,
  title  = {Hexagons become second if symmetry is broken},
  author = {Bert Reimann and Reinhard Richter and Holger Knieling and Rene Friedrichs and Ingo Rehberg},
  journal= {arXiv preprint arXiv:nlin/0504008},
  year   = {2009}
}

Comments

accepted for publication by Physical Review E/Rapid Communication

R2 v1 2026-07-22T18:13:40.881Z