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Interfacial pattern formation far from equilibrium

dc.contributor.authorBen-Jacob, Eshelen_US
dc.contributor.authorGarik, Peteren_US
dc.contributor.authorGrier, D.en_US
dc.date.accessioned2006-04-07T20:03:12Z
dc.date.available2006-04-07T20:03:12Z
dc.date.issued1987en_US
dc.identifier.citationBen-Jacob, E., Garik, P., Grier, D. (1987)."Interfacial pattern formation far from equilibrium." Superlattices and Microstructures 3(6): 599-615. <http://hdl.handle.net/2027.42/26972>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6WXB-4951FXN-60/2/f02b1853edf50cdbec5d5b90288798e1en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/26972
dc.description.abstractOver the past few years diffusion-controlled systems have been shown to share a common set of interfacial morphologies. The singular nature of the microscopic dynamics of surface tension and kinetic growth far from equilibrium are critical to morphology selection, with special importance attributed to the anisotropy of these effects. The morphologies which develop can be organized via a morphology diagram according to the driving force and the effective anisotropy. We focus on the properties of the dense-branching morphology (DBM) which appears for sufficiently weak effective anisotropy, and the nature of morphology transitions between the DBM and dendritic growth stabilized by either surface tension or kinetic effects. The DBM is studied in the Hele-Shaw cell, and its structure analyzed by linear stability analysis. A comparison is made between the power spectrum of the structure and the stability analysis. We then provide a detailed account of the morphology diagram and morphology transitions in an anisotropic Hele-Shaw cell. Theoretically the question of morphology transitions is addressed within the boundary-layer model by computing selected velocities as a function of the undercooling for different values of the surface tension and the kinetic term. We argue that the fastest growing morphology is selected whether it is the DBM, surface tension dendrites, or kinetic dendrites. A comparison is made with our experimental results in electrochemical deposition for the correspondence between growth velocities and morphology transitions.en_US
dc.format.extent1872031 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleInterfacial pattern formation far from equilibriumen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Condensed Matter Physics School of Physics and Astronomy Tel Aviv University 69978, Tel Aviv, Israel; Department of Physics Randall Laboratory University of Michigan, Ann Arbor, Michigan 48109, USA.en_US
dc.contributor.affiliationumDepartment of Condensed Matter Physics School of Physics and Astronomy Tel Aviv University 69978, Tel Aviv, Israel; Department of Physics Randall Laboratory University of Michigan, Ann Arbor, Michigan 48109, USA.en_US
dc.contributor.affiliationumDepartment of Physics, Randall Laboratory University of Michigan, Ann Arbor, Michigan 48109, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/26972/1/0000539.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0749-6036(87)90190-Xen_US
dc.identifier.sourceSuperlattices and Microstructuresen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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