Boundary Dynamics of Sweeping Interface

Details Boundary Dynamics of Sweeping Interface Boundary Dynamics of Sweeping Interface

2005-08-26

arxiv.org/abs/cond-mat/0508622v2

Phys. Rev. E, vol. 73, issue 6 (2006)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.73.061603

A 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.

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