Growth Laws for Phase Ordering

Details Growth Laws for Phase Ordering Growth Laws for Phase Ordering

1993-03-08

arxiv.org/abs/cond-mat/9303011v2

Phys. Rev. E 49, R27 (1994)

Physics

Condensed Matter

12 pages, LaTeX, second try

Scientific paper

10.1103/PhysRevE.49.R27

We determine the characteristic length scale, $L(t)$, in phase ordering kinetics for both scalar and vector fields, with either short- or long-range interactions, and with or without conservation laws. We obtain $L(t)$ consistently by comparing the global rate of energy change to the energy dissipation from the local evolution of the order parameter. We derive growth laws for O(n) models, and our results can be applied to other systems with similar defect structures.

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