Reversible A <-> B reaction - diffusion process with initially mixed reactants: boundary layer function approach

Details Reversible A <-> B reaction - diffusion process with initially mixed reactants: boundary layer function approach Reversible A <-> B reaction - diffusion process with initially mixed reactants: boundary layer function approach

2008-10-21

arxiv.org/abs/0810.3840v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, 5 figures, submitted to Phys.Rev.E

Scientific paper

The reversible A <-> B reaction-diffusion process, when species A and B are initially mixed and diffuse with different diffusion coefficients, is investigated using the boundary layer function method. It is assumed that the ratio of the characteristic time of the reaction to the characteristic time of diffusion is taken as a small parameter of the task. It was shown that diffusion-reaction process can be considered as a quasi-equilibrium process. Despite this fact the contribution of the reaction in changes of the species concentration is comparable with the diffusion contributions. Moreover the ratios of the reaction and diffusion contributions are independent of time and coordinate. The dependence of the reaction rate on the initial species distribution is analyzed. It was firstly obtained that the number of the reaction zones is determined by the initial conditions and changes with time. The asymptotic long-time behaviour of the reaction rate also dependents on the initial distribution.

Affiliated with

Also associated with

No associations

Rating

Reversible A <-> B reaction - diffusion process with initially mixed reactants: boundary layer function approach 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 Reversible A <-> B reaction - diffusion process with initially mixed reactants: boundary layer function approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reversible A <-> B reaction - diffusion process with initially mixed reactants: boundary layer function approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-573283