Edinburgh Research Explorer

Width Scaling of an Interface Constrained by a Membrane

Research output: Contribution to journalLetterpeer-review

Related Edinburgh Organisations

Open Access permissions



  • Download as Adobe PDF

    Rights statement: The URI http://arxiv.org/licenses/nonexclusive-distrib/1.0/ is used to record the fact that the submitter granted the following license to arXiv.org on submission of an article: * I grant arXiv.org a perpetual, non-exclusive license to distribute this article. * I certify that I have the right to grant this license. * I understand that submissions cannot be completely removed once accepted. * I understand that arXiv.org reserves the right to reclassify or reject any submission.

    Submitted manuscript, 533 KB, PDF document

    Licence: Other

  • Download as Adobe PDF

    Rights statement: (c) 2018 American Physical Society

    Final published version, 413 KB, PDF document

Original languageEnglish
Article number058102
JournalPhysical Review Letters
Publication statusPublished - 3 Aug 2018


We investigate the shape of a growing interface in the presence of an impenetrable moving membrane. The two distinct geometrical arrangements of the interface and membrane, obtained by placing the membrane behind or ahead of the interface, are not symmetrically related. On the basis of numerical results and an exact calculation, we argue that these two arrangements represent two distinct universality classes for interfacial growth: while the well-established Kardar-Parisi-Zhang (KPZ) growth is obtained in the “ahead” arrangement, we find an arrested KPZ growth with a smaller roughness exponent in the “behind” arrangement. This suggests that the surface properties of growing cell membranes and expanding bacterial colonies, for example, are fundamentally distinct.

Download statistics

No data available

ID: 74742575