Single-Species Three-Particle Reactions in One Dimension

Details Single-Species Three-Particle Reactions in One Dimension Single-Species Three-Particle Reactions in One Dimension

2006-02-02

arxiv.org/abs/cond-mat/0602046v2

Phys. Rev. E 73, 041103 (2006)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 5 figs, minor corrections

Scientific paper

10.1103/PhysRevE.73.041103

Renormalization group calculations for fluctuation-dominated reaction-diffusion systems are generally in agreement with simulations and exact solutions. However, simulations of the single-species reactions 3A->(0,A,2A) at their upper critical dimension d_c=1 have found asymptotic densities argued to be inconsistent with renormalization group predictions. We show that this discrepancy is resolved by inclusion of the leading corrections to scaling, which we derive explicitly and show to be universal, a property not shared by the A+A->(0,A) reactions. Finally, we demonstrate that two previous Smoluchowski approaches to this problem reduce, with various corrections, to a single theory which yields, surprisingly, the same asymptotic density as the renormalization group.

Affiliated with

Also associated with

No associations

Rating

Single-Species Three-Particle Reactions 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 Single-Species Three-Particle Reactions in One Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Single-Species Three-Particle Reactions in One Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122826