Domain Statistics in Coarsening Systems

Details Domain Statistics in Coarsening Systems Domain Statistics in Coarsening Systems

1997-05-15

arxiv.org/abs/cond-mat/9705155v1

Phys. Rev. E 56, 3788 (1997)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 5 figures, revtex

Scientific paper

10.1103/PhysRevE.56.3788

We study the domain number and size distributions in the one-dimensional Ising and $q$-state Potts models subject to zero-temperature Glauber dynamics. The survival probability of a domain, $S(t)\sim t^{-\psi}$, and an unreacted domain, $Q_1(t)\sim t^{-\delta}$, are characterized by two independent nonrtrivial exponents. For the Ising case, we find $\psi=0.126$ and $\delta=1.27$ using numerical simulations. We develop an independent interval approximation (IIA) that predicts the qualitative behavior of the domain distribution and provides good estimates for the exponents. Exact results for the domain distribution are also obtained in several solvable cases.

Affiliated with

Also associated with

No associations

Rating

Domain Statistics in Coarsening Systems 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 Domain Statistics in Coarsening Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Domain Statistics in Coarsening Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271018