Journal Article FZJ-2015-06634

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Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate

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2015
APS College Park, Md.

Physical review / E 92(3), 032408 () [10.1103/PhysRevE.92.032408]

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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.

Classification:

Contributing Institute(s):
  1. Theoretische Nanoelektronik (PGI-2)
Research Program(s):
  1. 144 - Controlling Collective States (POF3-144) (POF3-144)

Appears in the scientific report 2015
Database coverage:
Medline ; American Physical Society Transfer of Copyright Agreement ; OpenAccess ; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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 Record created 2015-11-18, last modified 2023-02-17