Notes

Outline

The Effect of Surface Tension Anisotropy on the Rayleigh Instability in Materials Systems Mathematical and Computational Sciences Division National Institute of Standards and Technology

Rayleigh Instability

Inkjet Printing

Cellular Growth during Directional Solidification

Instability of Rod Morphology During Monotectic Growth

Nanobridge

Quantum Wires

Possible Reasons for Enhanced Stability Quantum effects (Kassubek et al. [2001]). Elastic effects with substrate (Chen et al. [2000]) Stabilization by contact angle (McCullum et al. [1996]) Radial thermal gradients (McFadden et al. [1993]) Surface energy anisotropy (this work)

"Anisotropic Gibbs-Thomson Equation" Anisotropic Gibbs-Thomson Equation

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Surface Energy

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Numerics SLEIGN2: Associated Sturm–Liouville Solver Spectral Decomposition with RS (a real symmetric eigenvalue routine)

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Conclusions Anisotropic surface energy plays a significant role in the stability of a rod. Both the magnitude and sign of the anisotropy determine whether the contribution promotes or suppresses the Rayleigh instability. Different cubic orientations react quite differently to the surface tension anisotropy.

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