Numerical Confirmation of Late-time t^{1/2} Growth in Three-dimensional Phase Ordering
| dc.creator | Brown, Gregory | |
| dc.creator | Rikvold, Per Arne | |
| dc.date | 2001-07-11 | |
| dc.date | 2001-11-02 | |
| dc.date.accessioned | 2026-07-25T14:26:47Z | |
| dc.description | Results for the late-time regime of phase ordering in three dimensions are reported, based on numerical integration of the time-dependent Ginzburg-Landau equation with nonconserved order parameter at zero temperature. For very large systems ($700^3$) at late times, $t \ge 150,$ the characteristic length grows as a power law, $R(t) \sim t^n$, with the measured $n$ in agreement with the theoretically expected result $n=1/2$ to within statistical errors. In this time regime $R(t)$ is found to be in excellent agreement with the analytical result of Ohta, Jasnow, and Kawasaki [Phys. Rev. Lett. {\bf 49}, 1223 (1982)]. At early times, good agreement is found between the simulations and the linearized theory with corrections due to the lattice anisotropy. | |
| dc.description | Substantially revised and enlarged, submitted to PRE | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0107233 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0107233 | |
| dc.identifier | Phys. Rev. E 65, 036137 (2002) | |
| dc.identifier | doi:10.1103/PhysRevE.65.036137 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/25723 | |
| dc.subject | Materials Science | |
| dc.subject | Statistical Mechanics | |
| dc.title | Numerical Confirmation of Late-time t^{1/2} Growth in Three-dimensional Phase Ordering | |
| dc.type | text |