Coalescence in the 1D Cahn–Hilliard model
| hal.structure.identifier | Centre de physique moléculaire optique et hertzienne [CPMOH] | |
| dc.contributor.author | VILLAIN-GUILLOT, Simon | |
| dc.date.created | 2003-12-11 | |
| dc.date.issued | 2004-07-09 | |
| dc.identifier.issn | 0305-4470 | |
| dc.description.abstractEn | We present an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition. We have identified all the intermediate profiles, stationary solutions of the noiseless Cahn-Hilliard equation. Using properties of the soliton lattices, periodic solutions of the Ginzburg-Landau equation, we have construct a family of ansatz describing continuously the processus of destabilization and period doubling predicted in Langer's self similar scenario. | |
| dc.language.iso | en | |
| dc.publisher | IOP Publishing | |
| dc.rights.uri | http://creativecommons.org/licenses/by-sa/ | |
| dc.subject | Cahn-Hilliard equation | |
| dc.subject | Lamé equation | |
| dc.subject | Coalescence | |
| dc.subject | Solitons Lattice | |
| dc.subject | Non linear dynamics | |
| dc.title.en | Coalescence in the 1D Cahn–Hilliard model | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1088/0305-4470/37/27/005 | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Autre [cond-mat.other] | |
| dc.identifier.arxiv | cond-mat/0312398 | |
| bordeaux.journal | Journal of Physics A: Mathematical and General (1975 - 2006) | |
| bordeaux.page | 6929-6941 | |
| bordeaux.volume | 37 | |
| bordeaux.issue | 27 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00000956 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00000956v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Physics%20A:%20Mathematical%20and%20General%20(1975%20-%202006)&rft.date=2004-07-09&rft.volume=37&rft.issue=27&rft.spage=6929-6941&rft.epage=6929-6941&rft.eissn=0305-4470&rft.issn=0305-4470&rft.au=VILLAIN-GUILLOT,%20Simon&rft.genre=article |
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