Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field

Details Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field

2004-09-06

arxiv.org/abs/cond-mat/0409126v1

Journal of Chemical Physics 122, 024512 (2005).

Physics

Condensed Matter

Other Condensed Matter

13 pages, 13 figures, submitted to J. Chem. Phys

Scientific paper

10.1063/1.1833356

We study the effects of an external electric field on both the motion of the reaction zone and the spatial distribution of the reaction product, $C$, in an irreversible $A^- +B^+ \to C$ reaction-diffusion process. The electrolytes $A\equiv (A^+,A^-)$ and $B\equiv (B^+,B^-)$ are initially separated in space and the ion-dynamics is described by reaction-diffusion equations obeying local electroneutrality. Without an electric field, the reaction zone moves diffusively leaving behind a constant concentration of $C$-s. In the presence of an electric field which drives the reagents towards the reaction zone, we find that the reaction zone still moves diffusively but with a diffusion coefficient which slightly decreases with increasing field. The important electric field effect is that the concentration of $C$-s is no longer constant but increases linearly in the direction of the motion of the front. The case of an electric field of reversed polarity is also discussed and it is found that the motion of the front has a diffusive, as well as a drift component. The concentration of $C$-s decreases in the direction of the motion of the front, up to the complete extinction of the reaction. Possible applications of the above results to the understanding of the formation of Liesegang patterns in an electric field is briefly outlined.

Affiliated with

Also associated with

No associations

Rating

Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374836