Pattern formation in reaction-diffusion system in crossed electric and magnetic fields
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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
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