Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate

G. Boussinot and Efim A. Brener
Phys. Rev. E 92, 032408 – Published 28 September 2015

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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  • Received 16 March 2015
  • Revised 6 August 2015

DOI:https://doi.org/10.1103/PhysRevE.92.032408

©2015 American Physical Society

Authors & Affiliations

G. Boussinot1 and Efim A. Brener2

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

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Issue

Vol. 92, Iss. 3 — September 2015

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