Low symmetry patterns on magnetic fluids.

  title={Low symmetry patterns on magnetic fluids.},
  author={Ren{\'e} Friedrichs},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={66 6 Pt 2},
  • René Friedrichs
  • Published 2002 in
    Physical review. E, Statistical, nonlinear, and…
The pattern formation on the free surface of a magnetic fluid subjected simultaneously to a vertical and a horizontal magnetic field is investigated theoretically. In this anisotropic system planforms less symmetric then squares and hexagons arise. The relative stability of parallel ridges and asymmetric patterns, periodic on a rectangular or a rhombic lattice, is studied using a perturbative energy minimization procedure. Moreover, the interplay between the anisotropy and the broken up-down… CONTINUE READING