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Communications in Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 1997
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Communications in Mathematical Physics
Article . 1998 . Peer-reviewed
License: Springer TDM
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zbMATH Open
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https://dx.doi.org/10.48550/ar...
Article . 1997
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https://dx.doi.org/10.1007/s00...
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Article
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Coarsening by Ginzburg-Landau Dynamics

Coarsening by Ginzburg-Landau dynamics
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Dec 1998Embargo end date: 01 Jan 1997Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 199, pages 441-470 (issn: 0010-3616, eissn: 1432-0916, Copyright policy )
Authors: Eckmann, J.-P.; Rougemont, J.;

doi: 10.1007/s002200050508 , 10.48550/arxiv.chao-dyn/9706012

arXiv: chao-dyn/9706012

Coarsening by Ginzburg-Landau Dynamics

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.

30 pages, TeX + postscript figures

Related Organizations
Keywords

Reaction-diffusion equations, NLS equations (nonlinear Schrödinger equations), FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Nonlinear effects in hydrodynamic stability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
36
Top 10%
Top 10%
Top 10%
Green
bronze