Show simple item record

dc.contributorVirginia Tech
dc.contributor.authorTanveer, S.
dc.date.accessioned2014-04-25T14:12:38Z
dc.date.available2014-04-25T14:12:38Z
dc.date.issued1989-10
dc.identifier.citationTanveer, S., "analytic theory for the selection of a two-dimensional needle crystal at arbitrary Péclet number," Phys. Rev. A 40, 4756 (1989); DOI: http://dx.doi.org/10.1103/PhysRevA.40.4756
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/10919/47702
dc.description.abstractAn accurate analytic theory is presented for the velocity selection of a two-dimensional needle crystal for arbitrary Péclet number for small values of the surface-tension parameter. The velocity selection is caused by the effect of transcendentally small terms that are determined by analytic continuation to the complex plane and analysis of nonlinear equations. The work supports the general conclusion of previous small-Péclet-number analytical results of other investigators, although there are some discrepancies in details. It also addresses questions raised by a recent investigator on the validity of selection theory owing to assumptions made on shape corrections at large distances from the tip.
dc.description.sponsorshipNSF DMS-8713246
dc.description.sponsorshipNASA NAS1-18605
dc.language.isoen_US
dc.publisherAmerican Physical Society
dc.titleanalytic theory for the selection of a two-dimensional needle crystal at arbitrary Péclet number
dc.typeArticle
dc.identifier.urlhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.40.4756
dc.date.accessed2014-04-22
dc.title.serialPhysical Review A
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.40.4756


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record