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1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems
| hal.structure.identifier | Centre de physique moléculaire optique et hertzienne [CPMOH] | |
| dc.contributor.author | VILLAIN-GUILLOT, Simon | |
| dc.date.created | 2008-06-01 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0218-1274 | |
| dc.description.abstractEn | We use a family of stationary solutions of the Cahn-Hilliard dynamics with the aim of describing the process of coarsening during a first order phase transition. With this analytical ansatz, we can compute the characteristic time for one step of period doubling in Langer's self-similar scenario for Ostwald ripening. As an application, the same ansatz is also used to compute the thermodynamically stable period of a 1D modulated phase pattern, described by a modified Cahn-Hilliard dynamics with a long range interaction term. | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.subject.en | Pattern formation | |
| dc.subject.en | Cahn-Hilliard dynamics | |
| dc.subject.en | nonlinear dynamics | |
| dc.subject.en | symmetry breaking | |
| dc.title.en | 1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/s0218127409024980 | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Autre [cond-mat.other] | |
| dc.identifier.arxiv | cond-mat/0703782 | |
| bordeaux.journal | International journal of bifurcation and chaos in applied sciences and engineering | |
| bordeaux.page | 3541-3552 | |
| bordeaux.volume | 19 | |
| bordeaux.issue | 10 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00670571 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00670571v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20journal%20of%20bifurcation%20and%20chaos%20in%20applied%20sciences%20and%20engineering&rft.date=2009&rft.volume=19&rft.issue=10&rft.spage=3541-3552&rft.epage=3541-3552&rft.eissn=0218-1274&rft.issn=0218-1274&rft.au=VILLAIN-GUILLOT,%20Simon&rft.genre=article |
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