Motions in a bose condensate: VI. Vortices in a nonlocal model

Natalia G. Berloff, Paul H. Roberts

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


Nonlocal nonlinear Schrödinger equations are considered as models of liquid helium II. The models contain a nonlocal interaction potential that leads to a phonon-roton-like dispersion relation. Also, a higher-order term in the local density approximation for the correlation energy is introduced into the model to overcome nonphysical mass concentrations. These equations are solved for straight-line vortices. It is demonstrated that the parameters of the equation can be chosen to bring into agreement the vortex core parameter and the healing length. The structure of vortex rings of large radius is studied. The family of the vortex rings of different radii propagating with different velocities is found numerically. As the velocity of the vortex ring reaches the Landau critical velocity the sequence of rings terminates.

Original languageEnglish
Pages (from-to)5611-5625
Number of pages15
JournalJournal of Physics A: Mathematical and General
Issue number30
Publication statusPublished - 30 Jul 1999
Externally publishedYes


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