Boundary Dynamics of Sweeping Interface
Soft Condensed Matter
2007-06-26 v2 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.cond-mat/0508622,
title = {Boundary Dynamics of Sweeping Interface},
author = {Hiizu Nakanishi},
journal= {arXiv preprint arXiv:cond-mat/0508622},
year = {2007}
}
Comments
4 pages, 4 figures