Asymptotic form of the approach to equilibrium in reversible recombination reactions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

23 pages, 3 PicTeX figures. Use IOP macros. Submitted to J. Phys. A. Also available at http://mykonos.unige.ch/~rey/pubt.html

Scientific paper

10.1088/0305-4470/32/9/008

The reversible reactions A+A<=>C and A+B<=>C are investigated. From the exact Langevin equations describing our model, we set up a systematic approximation scheme to compute the approach of the density of C particles to its equilibrium value. We show that for sufficiently long time t, this approach takes the form of a power law At^(-d/2), for any dimension d. The amplitude A is also computed exactly, but is expected to be model dependent. For uncorrelated initial conditions, the C density turns out to be a monotonic time function. The cases of correlated initial conditions and unequal diffusion constants are investigated as well. In the former, correlations may break the monotonicity of the density or in some special cases they may change the long time behavior. For the latter, the power law remains valid, only the amplitude changes, even in the extreme case of immobile C particles. We also consider the case of segregated initial condition for which a reaction front is observed, and confirm that its width is governed by mean-field exponent in any dimension.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Asymptotic form of the approach to equilibrium in reversible recombination reactions 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 Asymptotic form of the approach to equilibrium in reversible recombination reactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic form of the approach to equilibrium in reversible recombination reactions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-322473

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.