Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system
Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warszawa, Poland
2 Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstr. 6, 64289 Darmstadt, Germany
Revised: 15 June 2004
Published online: 3 August 2004
The intrinsic length scales of a reaction diffusion system (Gierer-Meinhardt model) is varied by quasi-statically changing the diffusion constant of the activator and a transition from rolls to hexagon is detected. The transition is hysteretic or first order like. From stability analysis, we also analytically show the possibility of such transitions.
PACS: 87.10.+e – General theory and mathematical aspects / 47.70.Fw – Chemically reactive flows
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004