https://doi.org/10.1140/epjb/e2004-00240-8
Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system
1
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
Corresponding authors: a julas@if.pw.edu.pl - b arijit@fkp.tu-darmstadt.de
Received:
17
December
2003
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