Soap-film Mobius strip changes topology with a twist singularity

ABSTRACT: It is well-known that a soap film spanning a looped wire can have the topology of a Möbius strip and that deformations of the wire can induce a transformation to a two-sided film, but the process by which this transformation is achieved has remained unknown. Experimental studies presented here show that this process consists of a collapse of the film toward the boundary that produces a previously unrecognized finite-time twist singularity that changes the linking number of the film’s Plateau border and the centerline of the wire. We conjecture that it is a general feature of this type of transition that the singularity always occurs at the surface boundary. The change in linking number is shown to be a consequence of a viscous reconnection of the Plateau border at the moment of the singula

SUBMITTER: Goldstein R 

PROVIDER: S-EPMC3009808 | biostudies-literature | 2010 Dec

REPOSITORIES: biostudies-literature