Physics – Condensed Matter
Scientific paper
1993-06-03
Phys. Rev. E 48, 2452 (1993)
Physics
Condensed Matter
(resubmitted with uncompressed text file, compressed figures appended), 32 pages (harvmac), 8 figures, UCSBTH-93-15
Scientific paper
10.1103/PhysRevE.48.2452
We study the dynamics of phase ordering of a non-conserved, scalar order parameter in one dimension, with long-range interactions characterized by a power law $r^{-d-\sigma}$. In contrast to higher dimensional systems, the point nature of the defects allows simpler analytic and numerical methods. We find that, at least for $\sigma > 1$, the model exhibits evolution to a self-similar state characterized by a length scale which grows with time as $t^{1/(1+\sigma)}$, and that the late time dynamics is independent of the initial length scale. The insensitivity of the dynamics to the initial conditions is consistent with the scenario of an attractive, non-trivial renormalization group fixed point which governs the late time behavior. For $\sigma \le 1$ we find indications in both the simulations and an analytic method that this behavior may be system size dependent.
Cardy John L.
Lee Benjamin P.
No associations
LandOfFree
Phase Ordering in One-Dimensional Systems with Long-Range Interactions 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 Phase Ordering in One-Dimensional Systems with Long-Range Interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Ordering in One-Dimensional Systems with Long-Range Interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-438614