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Initial 3D Cell Cluster Control in a Hybrid Gel Cube Device for Repeatable Pattern Formations

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Oscillatory cellular patterns in three-dimensional directional solidification.

D Tourret¹, J-M Debierre², Y Song¹

¹Department of Physics and Center for Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 14, 2015

Summary

This summary is machine-generated.

Microgravity experiments reveal synchronized cellular array oscillations during solidification. Phase-field simulations link these breathing modes to spacing stability limits in hexagonal structures.

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Area of Science:

Materials Science
Solidification Physics
Microgravity Research

Background:

Directional solidification in microgravity minimizes convection, enabling observation of cellular and dendritic array formation.
In situ observations revealed oscillatory breathing modes in cellular arrays within a narrow parameter range (25-125 min period).
These oscillations were spatially uncorrelated over long distances but synchronized in ordered regions.

Purpose of the Study:

To investigate the mechanism behind oscillatory breathing modes in 3D cellular arrays during microgravity solidification.
To correlate observed oscillations with the stability of hexagonal cellular array structures.
To compare experimental findings with quantitative phase-field simulations.

Main Methods:

Phase-field simulations of three-dimensional cellular array solidification.
Analysis of microgravity directional solidification experiments using transparent alloys.
Quantitative comparison of simulated and experimental oscillation periods and spatial ordering.

Main Results:

Oscillatory behavior is linked to a stability limit in hexagonal cellular array spacing, creating a gap in stable spacings.
A sustained oscillatory regime emerges near this gap, with periods matching experimental observations.
Simulations show long-range coherence is achievable with perfect initial conditions, but disorder prevails with realistic noisy inputs, similar to experiments.

Conclusions:

The study identifies a critical link between array spacing stability and oscillatory breathing modes in microgravity solidification.
Phase-field modeling successfully reproduces experimentally observed phenomena, validating the proposed mechanism.
Global disorder in experiments and simulations arises from initial conditions and tip-splitting events, contrasting with ordered thin-sample results.