The study of banded spherulite patterns by coupled logistic map lattice model
State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130-022, P.R. China
Corresponding author: a email@example.com
Revised: 22 February 2008
Published online: 8 May 2008
Banded spherulite patterns are simulated in two dimensions by means of a coupled logistic map lattice model. Both target pattern and spiral pattern which have been proved to be existent experimentally in banded spherulite are obtained by choosing suitable parameters in the model. The simulation results also indicate that the band spacing is decreased with the increase of parameter μ in the logistic map and increased with the increase of the coupling parameter ε, which is quite similar to the results in some experiments. Moreover, the relationship between the parameters and the corresponding patterns is obtained, and the target patterns and spiral patterns are distinguished for a given group of initial values, which may guide the study of banded spherulite.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Ra – Coupled map lattices
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008