000019498 001__ 19498 000019498 005__ 20230217124333.0 000019498 0247_ $$2DOI$$a10.1103/PhysRevE.83.020601 000019498 0247_ $$2WOS$$aWOS:000287078700002 000019498 0247_ $$2Handle$$a2128/9273 000019498 037__ $$aPreJuSER-19498 000019498 041__ $$aeng 000019498 082__ $$a530 000019498 084__ $$2WoS$$aPhysics, Fluids & Plasmas 000019498 084__ $$2WoS$$aPhysics, Mathematical 000019498 1001_ $$0P:(DE-Juel1)VDB81560$$aBoussinot, G.$$b0$$uFZJ 000019498 245__ $$aGrowth of a two-phase finger in eutectics systems 000019498 260__ $$aCollege Park, Md.$$bAPS$$c2011 000019498 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2011-02-08 000019498 264_1 $$2Crossref$$3print$$bAmerican Physical Society (APS)$$c2011-02-01 000019498 300__ $$a020601 000019498 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article 000019498 3367_ $$2DataCite$$aOutput Types/Journal article 000019498 3367_ $$00$$2EndNote$$aJournal Article 000019498 3367_ $$2BibTeX$$aARTICLE 000019498 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000019498 3367_ $$2DRIVER$$aarticle 000019498 440_0 $$04924$$aPhysical Review E$$v83$$x1539-3755$$y2 000019498 500__ $$3POF3_Assignment on 2016-02-29 000019498 500__ $$aWe acknowledge the support of the Deutsche Forschungsgemeinschaft under Project No. SPP1296. We are also grateful to M. Plapp for providing the phase-field code and D. E. Temkin for useful discussions. 000019498 520__ $$aWe present a theoretical study of the growth of a two-phase finger in eutectic systems. This pattern was observed experimentally by Akamatsu and Faivre [Phys. Rev. E 61, 3757 (2000)]. We study this two-phase finger using a boundary-integral formulation and we complement our investigation by a phase-field validation of the stability of the pattern. The deviations from the eutectic temperature and from the eutectic concentration provide two independent control parameters, leading to very different patterns depending on their relative importance. We propose scaling laws for the velocity and the different length scales of the pattern. 000019498 536__ $$0G:(DE-Juel1)FUEK412$$2G:(DE-HGF)$$aGrundlagen für zukünftige Informationstechnologien$$cP42$$x0 000019498 542__ $$2Crossref$$i2011-02-08$$uhttp://link.aps.org/licenses/aps-default-license 000019498 588__ $$aDataset connected to Web of Science 000019498 650_7 $$2WoSType$$aJ 000019498 7001_ $$0P:(DE-HGF)0$$aHüter, C.$$b1 000019498 7001_ $$0P:(DE-Juel1)VDB2069$$aBrener, E. A.$$b2$$uFZJ 000019498 77318 $$2Crossref$$3journal-article$$a10.1103/physreve.83.020601$$bAmerican Physical Society (APS)$$d2011-02-08$$n2$$p020601$$tPhysical Review E$$v83$$x1539-3755$$y2011 000019498 773__ $$0PERI:(DE-600)2844562-4$$a10.1103/PhysRevE.83.020601$$gVol. 83, p. 020601$$n2$$p020601$$q83<020601$$tPhysical review / E$$v83$$x1539-3755$$y2011 000019498 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevE.83.020601 000019498 8564_ $$uhttps://juser.fz-juelich.de/record/19498/files/PhysRevE.83.020601.pdf$$yOpenAccess 000019498 8564_ $$uhttps://juser.fz-juelich.de/record/19498/files/PhysRevE.83.020601.gif?subformat=icon$$xicon$$yOpenAccess 000019498 8564_ $$uhttps://juser.fz-juelich.de/record/19498/files/PhysRevE.83.020601.jpg?subformat=icon-180$$xicon-180$$yOpenAccess 000019498 8564_ $$uhttps://juser.fz-juelich.de/record/19498/files/PhysRevE.83.020601.jpg?subformat=icon-700$$xicon-700$$yOpenAccess 000019498 8564_ $$uhttps://juser.fz-juelich.de/record/19498/files/PhysRevE.83.020601.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000019498 909CO $$ooai:juser.fz-juelich.de:19498$$pdnbdelivery$$pVDB$$pdriver$$popen_access$$popenaire 000019498 915__ $$0StatID:(DE-HGF)0010$$aJCR/ISI refereed 000019498 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000019498 915__ $$0LIC:(DE-HGF)APS-112012$$2HGFVOC$$aAmerican Physical Society Transfer of Copyright Agreement 000019498 9141_ $$y2011 000019498 9131_ $$0G:(DE-Juel1)FUEK412$$aDE-HGF$$bSchlüsseltechnologien$$kP42$$lGrundlagen für zukünftige Informationstechnologien (FIT)$$vGrundlagen für zukünftige Informationstechnologien$$x0 000019498 9132_ $$0G:(DE-HGF)POF3-529H$$1G:(DE-HGF)POF3-520$$2G:(DE-HGF)POF3-500$$aDE-HGF$$bKey Technologies$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vAddenda$$x0 000019498 9201_ $$0I:(DE-Juel1)PGI-2-20110106$$gPGI$$kPGI-2$$lTheoretische Nanoelektronik$$x0 000019498 970__ $$aVDB:(DE-Juel1)134352 000019498 980__ $$aVDB 000019498 980__ $$aConvertedRecord 000019498 980__ $$ajournal 000019498 980__ $$aI:(DE-Juel1)PGI-2-20110106 000019498 980__ $$aUNRESTRICTED 000019498 9801_ $$aFullTexts 000019498 999C5 $$1G. 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Hunt 1966$$y1966 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.56.780 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1007/BF02648952 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.jcrysgro.2006.12.064 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.45.7320 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.44.6533 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.104.056101 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.61.3757 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevA.44.6513 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevLett.66.445 000019498 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevE.72.011602