Boundary dynamics of the sweeping interface

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Abstract

A boundary dynamics of sweeping interface 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 the 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.

Original languageEnglish
Article number061603
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number6
DOIs
Publication statusPublished - Jul 5 2006

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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