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@ARTICLE{Boussinot:276161,
      author       = {Boussinot, G. and Brener, Efim},
      title        = {{I}nhibition of {R}ayleigh-{P}lateau instability on a
                      unidirectionally patterned substrate},
      journal      = {Physical review / E},
      volume       = {92},
      number       = {3},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2015-06634},
      pages        = {032408},
      year         = {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.},
      cin          = {PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {144 - Controlling Collective States (POF3-144)},
      pid          = {G:(DE-HGF)POF3-144},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000361806000006},
      doi          = {10.1103/PhysRevE.92.032408},
      url          = {https://juser.fz-juelich.de/record/276161},
}