Abstract:

Banded spherulite patterns are simulated in three dimensions by means of a coupled Logistic map lattice model. The patterns obtained by numerical calculation are consistent with those in experiments. 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 for cube lattices, and increased with the increase of the thickness of the lattice for polymer film, which is quite similar to the results in some experiments. Spiral pattern in three dimensions is also shown in this paper, which helps us understand the form of banded spherulite in polymers.

Key words: Coupled logistic map model in three dimension, Banded spherulite, Band spacing