Boundary Dynamics of Sweeping Interface
Hiizu Nakanishi
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.
Create a lesson
Related papers
Charged Three-Dimensional Solitons in a Ferroelectric Nematic Liquid Crystal
Netra Prasad Dhakal, Zakaria Siddiquee, Hiroya Nishikawa et al.
Frank Elastic Constants of Associating Rigid-Rodlike Systems
Akihiko Matsuyama
Medial Model of Elastic Curve Contacts, from Clasps to Knits
Kathryn Chain, Haoye Sun, Michael S. Dimitriyev
How symmetry and complexity shape three-dimensional programmable self-assembly
Prarthana Agrawal, Joakim Bohlin, Ard A. Louis
Designing tunable hyperuniformity in random organization through nonlocal noise
Yusheng Lei, Yuhan Peng, Ran Ni
Long-time Brownian dynamics of hard and sticky colloids by geometric projection
Rémi Martin, Sandrine Duluard, Céline Merlet