https://doi.org/10.1140/epjb/e2006-00402-8
Pattern formation in reaction-diffusion system in crossed electric and magnetic fields
1
Indian Association for the Cultivation of Science, Jadavpur, Kolkata, 700 032, India
2
Department of Physics, Indian Institute of Science, Bangalore, 560012, India
Corresponding author: a pcdsr@mahendra.iacs.res.in
Received:
27
July
2006
Published online:
6
November
2006
We consider a reaction-diffusion system in crossed electric and magnetic fields lying on the reaction plane. It is shown that a charge separation along the direction normal to the reaction plane resulting in a diffusional flux may cause a differential flow induced chemical instability and stationary pattern formation on a homogeneous steady state. This pattern is generically different from a Turing pattern modified by the crossed fields. The special role of magnetic field is emphasized. Our theoretical analysis is corroborated by numerical simulation on a reaction-diffusion system in three dimensions.
PACS: 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer / 47.54.-r – Pattern selection; pattern formation / 05.45.-a – Nonlinear dynamics and chaos
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
