Coarsening by Ginzburg-Landau Dynamics

J. -P. Eckmann; J. Rougemont

doi:10.1007/s002200050508

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arXiv · chao-dyn/9706012

Coarsening by Ginzburg-Landau Dynamics

J. -P. Eckmann·J. Rougemont

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Abstract

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. Godrèche.

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J. -P. Eckmann, J. Rougemont. 1997-06-10. Coarsening by Ginzburg-Landau Dynamics. https://doi.org/10.1007/s002200050508

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