Critical behavior of the two dimensional 2A->3A, 4A->0 binary system

Details Critical behavior of the two dimensional 2A->3A, 4A->0 binary system Critical behavior of the two dimensional 2A->3A, 4A->0 binary system

2004-03-22

arxiv.org/abs/cond-mat/0403562v2

Phys. Rev. E 70 (2004) 026119.

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures included, small corrections

Scientific paper

10.1103/PhysRevE.70.026119

The phase transitions of the recently introduced 2A -> 3A, 4A -> 0 reaction-diffusion model (G.Odor, PRE 69 036112 (2004)) are explored in two dimensions. This model exhibits site occupation restriction and explicit diffusion of isolated particles. A reentrant phase diagram in the diffusion - creation rate space is confirmed in agreement with cluster mean-field and one-dimensional results. For strong diffusion a mean-field transition can be observed at zero branching rate characterized by $\alpha=1/3$ density decay exponent. In contrast with this for weak diffusion the effective 2A ->3A->4A->0 reaction becomes relevant and the mean-field transition of the 2A -> 3A, 2A -> 0 model characterized by $\alpha=1/2$ also appears for non-zero branching rates.

Affiliated with

Also associated with

No associations

Rating

Critical behavior of the two dimensional 2A->3A, 4A->0 binary system 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 Critical behavior of the two dimensional 2A->3A, 4A->0 binary system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of the two dimensional 2A->3A, 4A->0 binary system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701382