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Boussinot G, Brener EA. Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate. Phys Rev E Stat Nonlin Soft Matter Phys. 2015;92(3):032408doi: 10.1103/PhysRevE.92.032408.
Boussinot, G., & Brener, E. A. (2015). Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate. Physical review. E, Statistical, nonlinear, and soft matter physics, 92(3), 032408. https://doi.org/10.1103/PhysRevE.92.032408
Boussinot, G, and Brener, Efim A. "Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 92,3 (2015): 032408. doi: https://doi.org/10.1103/PhysRevE.92.032408
Boussinot G, Brener EA. Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032408. doi: 10.1103/PhysRevE.92.032408. Epub 2015 Sep 28. PMID: 26465483.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032408. doi: 10.1103/PhysRevE.92.032408. Epub 2015 Sep 28.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

G Boussinot, Efim A Brener

Affiliations

  1. Access e.V., Intzestr. 5, 52072 Aachen, Germany.
  2. Peter Grünberg Institut, Forschungszentrum Jülich, D-52425 Jülich, Germany.

PMID: 26465483 DOI: 10.1103/PhysRevE.92.032408

Abstract

A fundamental process of surface energy minimization is the decay of a wire into separate droplets initiated by the Rayleigh-Plateau instability. Here we study the linear stability of a wire deposited on a unidirectionally patterned substrate with the wire being aligned with the pattern. We show that the wire is stable when a criterion that involves its width and the local geometry of the substrate at the triple line is fulfilled. We present this criterion for an arbitrary shape of the substrate and then give explicit examples. Our result is rationalized using a correspondence between the Rayleigh-Plateau instability and the spinodal decomposition. This work provides a theoretical tool for an appropriate design of the substrate's pattern in order to achieve stable wires of, in principle, arbitrary widths.

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