Theory of unstable growth in high and low dimensionality
- 1 March 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 45 (9) , 4656-4659
- https://doi.org/10.1103/physrevb.45.4656
Abstract
We study the dynamical structure factor in the phase-ordering dynamics of a nonconserved order parameter using a previously developed theory. Exact solutions in spatial dimension d=1 and d=∞ are obtained, which recover the analytical result of a one-dimensional Glauber-Ising model and the result of Ohta, Jasnow, and Kawasaki (OJK). Perturbative expansions near d=1 and d=∞ agree well with numerical solutions in d=2 and 3. Our results suggest that the structure factor of OJK is only asymptotically valid as d→∞.Keywords
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