A superfluid film flowing along the walls of a porous material can be modelled by a harmonic differential on a Riemann surface satisfying integrality conditions on its periods and residues. In this thesis, we investigate the formation of strings of circulation and the minimization of the total kinetic energy, relating them to the mixed Hodge structure of the surface punctured at the vortices and the associated mixed Hodge norm.
Identifier / keyword
Pure sciences, Harmonic differentials, Mixed Hodge structure, Porous media, Superfluid films
The mathematics of superfluid films
Black, Christine Petersen
DAI-B 59/07, Dissertation Abstracts International
Place of publication
Country of publication
University of Massachusetts Amherst
United States -- Massachusetts
Dissertations & Theses
ProQuest document ID
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