Boundary Dynamics of Sweeping Interface

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dc.creatorNakanishi, Hiizu
dc.date2005-08-26
dc.date2006-06-12
dc.date.accessioned2026-07-07T08:12:17Z
dc.date.available2026-07-07T08:12:17Z
dc.descriptionA new type of boundary dynamics is proposed to describe the interface that sweeps space to collect distributed material. Based upon geometrical consideration on a simple physical process representing a certain experiment, the dynamics is formulated as the small diffusion limit of Mullins-Sekerka problem of crystal growth. It is demonstrated that a steadily extending finger solution exists for a finite range of propagation speed, but numerical simulations suggest they are unstable and the interface shows a complex time development.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0508622
dc.identifierhttp://arxiv.org/abs/cond-mat/0508622
dc.identifierPhys. Rev. E, vol. 73, issue 6 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.061603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132401
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleBoundary Dynamics of Sweeping Interface
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