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Magnetically Induced Rotating Rayleigh-Taylor Instability

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Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate.

G Boussinot¹, Efim A Brener²

¹Access e.V., Intzestr. 5, 52072 Aachen, Germany.

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

|October 15, 2015

Summary

This summary is machine-generated.

Wires on patterned substrates can be stabilized by controlling their width and the substrate

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Area of Science:

Surface physics and materials science.
Instability phenomena in thin films and droplets.
Nanofabrication and pattern design.

Background:

Surface energy minimization drives the decay of liquid wires into droplets via Rayleigh-Plateau instability.
Controlling wire stability is crucial for applications in microfluidics, electronics, and nanotechnology.
Substrate topography influences dewetting and pattern formation of thin liquid films.

Purpose of the Study:

To investigate the linear stability of a liquid wire aligned with a unidirectionally patterned substrate.
To establish a criterion for preventing Rayleigh-Plateau instability in such confined geometries.
To provide a theoretical framework for designing patterned substrates to ensure wire stability.

Main Methods:

Linear stability analysis of a liquid wire on a patterned substrate.
Derivation of a stability criterion based on wire width and local substrate geometry at the triple line.
Exploration of the analogy between Rayleigh-Plateau instability and spinodal decomposition.

Main Results:

A quantitative criterion for wire stability on patterned substrates was derived.
The stability depends on the interplay between the wire's width and the substrate's local geometric features.
Explicit stability criteria were presented for various substrate geometries.

Conclusions:

The Rayleigh-Plateau instability of a wire on a patterned substrate can be suppressed.
Substrate pattern design offers a powerful tool to control the stability of deposited wires.
This work enables the fabrication of stable wires with potentially arbitrary widths.