Exact results for curvature-driven coarsening in two dimensions

Details Exact results for curvature-driven coarsening in two dimensions Exact results for curvature-driven coarsening in two dimensions

2006-08-11

arxiv.org/abs/cond-mat/0608270v2

Phys. Rev. Lett. 98, 145701 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.98.145701

We consider the statistics of the areas enclosed by domain boundaries (`hulls') during the curvature-driven coarsening dynamics of a two-dimensional nonconserved scalar field from a disordered initial state. We show that the number of hulls per unit area that enclose an area greater than $A$ has, for large time $t$, the scaling form $N_h(A,t) = 2c/(A+\lambda t)$, demonstrating the validity of dynamical scaling in this system, where $c=1/8\pi\sqrt{3}$ is a universal constant. Domain areas (regions of aligned spins) have a similar distribution up to very large values of $A/\lambda t$. Identical forms are obtained for coarsening from a critical initial state, but with $c$ replaced by $c/2$.

Affiliated with

Also associated with

No associations

Rating

Exact results for curvature-driven coarsening in two dimensions 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 Exact results for curvature-driven coarsening in two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact results for curvature-driven coarsening in two dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-546575