Physics – Condensed Matter
Scientific paper
1994-07-08
J. Phys. A 28, 33--44 (1995).
Physics
Condensed Matter
13 pages (and 4 figures), plain TeX, SISSA-94-02
Scientific paper
10.1088/0305-4470/28/1/010
We study the diffusion-limited process $A+A\to A$ in one dimension, with finite reaction rates. We develop an approximation scheme based on the method of Inter-Particle Distribution Functions (IPDF), which was formerly used for the exact solution of the same process with infinite reaction rate. The approximation becomes exact in the very early time regime (or the reaction-controlled limit) and in the long time (diffusion-controlled) asymptotic limit. For the intermediate time regime, we obtain a simple interpolative behavior between these two limits. We also study the coalescence process (with finite reaction rates) with the back reaction $A\to A+A$, and in the presence of particle input. In each of these cases the system reaches a non-trivial steady state with a finite concentration of particles. Theoretical predictions for the concentration time dependence and for the IPDF are compared to computer simulations. P. A. C. S. Numbers: 82.20.Mj 02.50.+s 05.40.+j 05.70.Ln
ben-Avraham Daniel
Zhong Dexin
No associations
LandOfFree
Diffusion-Limited Coalescence with Finite Reaction Rates in One Dimension 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 Diffusion-Limited Coalescence with Finite Reaction Rates in One Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion-Limited Coalescence with Finite Reaction Rates in One Dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-96218