Coarsening by Ginzburg-Landau Dynamics

Details Coarsening by Ginzburg-Landau Dynamics Coarsening by Ginzburg-Landau Dynamics

1997-06-10

arxiv.org/abs/chao-dyn/9706012v1

Nonlinear Sciences

Chaotic Dynamics

30 pages, TeX + postscript figures

Scientific paper

10.1007/s002200050508

We study slowly moving solutions of the real Ginzburg-Landau equation on the line, by a method due to J. Carr and R.L. Pego. These are functions taking alternately positive or negative values on large intervals. A consequence of our approach is that we can propose a rigorous derivation of a stochastic model of coarsening by successive elimination of the smallest interval, which was described in earlier work by A.J. Bray, B. Derrida and C. Godr\`eche.

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