Stability of hexagonal solidification patterns

Details Stability of hexagonal solidification patterns Stability of hexagonal solidification patterns

2002-07-12

arxiv.org/abs/cond-mat/0207314v2

Europhysics Letters 65, 276 (2004)

Physics

Condensed Matter

Materials Science

Minor changes, mainly in introduction and conclusion, one reference added

Scientific paper

10.1209/epl/i2003-10078-2

We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit unsteady evolutions. We identify the relevant secondary instabilities of regular hexagonal arrays and find that the stability boundaries depend significantly on the strength of crystalline anisotropy. We also find multiplet states that can be reached by applying well-defined perturbations to a pre-existing hexagonal array.

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