Disorder-Induced Anomalous Kinetics in the $A+A \to \emptyset$ Reaction

Details Disorder-Induced Anomalous Kinetics in the $A+A \to \emptyset$ Reaction Disorder-Induced Anomalous Kinetics in the $A+A \to \emptyset$ Reaction

1997-07-11

arxiv.org/abs/cond-mat/9707116v3

Physics

Condensed Matter

Statistical Mechanics

REVTEX, 4 pages. More discussion added. To appear in Phys. Rev. E (March, 1998)

Scientific paper

10.1103/PhysRevE.57.3618

We address the two-dimensional bimolecular annihilation reaction $A + A \to \emptyset$ in the presence of random impurities. Impurities with sufficiently long-ranged interaction energies are known to lead to anomalous diffusion, $ \sim t^{1-\delta}$, in the absence of reaction. Applying renormalization group theory to a field theoretic description of this reaction, we find that this disorder also leads to anomalous kinetics in the long time limit: $c(t) \sim t^{\delta -1}$. This kinetics results because the disorder forces the system into the (sub)diffusion controlled regime, in which the kinetics must become anomalous.

Affiliated with

Also associated with

No associations

Rating

Disorder-Induced Anomalous Kinetics in the $A+A \to \emptyset$ Reaction 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 Disorder-Induced Anomalous Kinetics in the $A+A \to \emptyset$ Reaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Disorder-Induced Anomalous Kinetics in the $A+A \to \emptyset$ Reaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-446683