Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898183 | Physica D: Nonlinear Phenomena | 2007 | 6 Pages |
Abstract
We investigate the branching of an advancing precipitation front to a nonplanar shape as the solute concentration in a supersaturated solution is increased beyond its critical value. We aim to learn whether new branches can be detected by measuring the speed of the front. We present a condition that determines whether a cross section of arbitrary shape will lead to a pitchfork or to a transcritical branching. Both are possible. Rectangles and circles imply pitchfork bifurcations, equilateral triangles and hexagons imply transcritical bifurcations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Agarwal, L.E. Johns, R. Narayanan,