Dynamics of two-dimensional vortex pairs in a spatially varying potential

Journal Article · Thu Oct 01 00:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.8336· OSTI ID:6996308

Lee, H H ^[1]; Gunn, J M.F. ^[2]

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1. Cavendish Laboratory, Madingley Rd., Cambridge CB3 OHE (United Kingdom)
2. School of Physics and Space Research, University of Birmingham, Birmingham B15 2TT (United Kingdom)

We consider the dynamics of vortices in a superfluid {sup 4}He film flowing over a substrate at zero temperature. The vortex trajectories are assumed to be governed by the Magnus-force equation with the effect of the substrate incorporated via the gradient of a potential. We use an equivalent Hamiltonian formulation to show that two vortices in a slowly varying potential can exhibit stochastic behavior. In this regard, there are differences between the cases of two vortices of the same sign and those of the opposite sign, the latter becoming stochastic more readily.

• OSTI ID: 6996308
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 46:13; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HELIUM 4
VORTICES
EQUATIONS OF MOTION
FILMS
SUPERFLUIDITY
TEMPERATURE ZERO K
TURBULENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
EVEN-EVEN NUCLEI
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
STABLE ISOTOPES
665420* - Superfluidity- (1992-)