Abstract
Dendrites with developed sidebranches are numerically studied with a coupled map lattice model. The competitive dynamics among sidebranches determines the shape of the envelope. The envelope has a parabolic shape near the tip of the dendrite and the envelope angle with respect to the main branch increases up to 45° finally. In an intermediate region, the envelope grows roughly in a power law, however, the exponent increases gradually as a function of the distance from the tip. The competitive dynamics among many branches is also observed in a unidirectional growth from a linear seed, and it is compared with the competitive dynamics of sidebranches.
Original language | English |
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Pages (from-to) | 1723-1727 |
Number of pages | 5 |
Journal | journal of the physical society of japan |
Volume | 73 |
Issue number | 7 |
DOIs | |
Publication status | Published - Jul 2004 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)