Kinetics of phase ordering on curved surfaces

Details Kinetics of phase ordering on curved surfaces Kinetics of phase ordering on curved surfaces

1998-04-22

arxiv.org/abs/cond-mat/9804237v2

Journal of Statistical Physics, 95, 949-979 (1999)

Physics

Condensed Matter

Statistical Mechanics

Submitted to Physical Review Letters on Mar 13, 1998. Withdrawn July 1998. Submitted full version to J. Stat. Phys. July 21, 1

Scientific paper

An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the domain interfaces. The dynamics is shown to depend strongly on the local Gaussian curvature of the surface, and can be fundamentally different from that in flat systems: dynamical scaling breaks down despite the persistence of the dominant interfacial undulation mode; growth laws are slower than $t^{1/2}$ and even logarithmic; a new very-late-stage regime appears characterized by extremely slow interface motion; finally, the zero-temperature fixed point no longer exists, leading to metastable states. Criteria for the existence of the latter are derived and discussed in the context of more complex systems.

Affiliated with

Also associated with

No associations

Rating

Kinetics of phase ordering on curved surfaces 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 Kinetics of phase ordering on curved surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetics of phase ordering on curved surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474061