Distribution of domain sizes in the zero temperature Glauber dynamics of the 1 D Potts model

Details Distribution of domain sizes in the zero temperature Glauber dynamics of the 1 D Potts model Distribution of domain sizes in the zero temperature Glauber dynamics of the 1 D Potts model

1996-06-07

arxiv.org/abs/cond-mat/9606042v1

Physics

Condensed Matter

LaTeX 24 pages. 2 postscript figures. Submitted to PRE 15-april-96

Scientific paper

10.1103/PhysRevE.54.2513

For the zero temperature Glauber dynamics of the $q$-state Potts model, we calculate the exact distribution of domain sizes by mapping the problem on an exactly soluble one-species coagulation model ($A+A\rightarrow A$). In the long time limit, this distribution is universal and from its (complicated) exact expression, we extract its behavior in various regimes. Our results are tested in a simulation and compared to the predictions of a simple approximation proposed recently. Considering the dynamics of domain walls as a reaction diffusion model $ A+A \to \ A $ with probability $ (q-2)/(q-1)$ and $A+A \to \emptyset $ with probability $1/(q-1)$, we calculate the pair correlation function in the long time regime.

Affiliated with

Also associated with

No associations

Rating

Distribution of domain sizes in the zero temperature Glauber dynamics of the 1 D Potts model 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 Distribution of domain sizes in the zero temperature Glauber dynamics of the 1 D Potts model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distribution of domain sizes in the zero temperature Glauber dynamics of the 1 D Potts model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724197