Quasiequilibrium statistical mechanics of two-dimensional superfluids and the two-dimensional Coulomb gas

Journal Article · Sun Oct 01 04:00:00 EDT 1978 · Phys. Rev., B: Solid State; (United States)

DOI:https://doi.org/10.1103/PhysRevB.18.3204· OSTI ID:6564809

Myerson, R J

The virtually rigorous renormalization-group technique of Kosterlitz is applied to the vortex nucleation theory of superfluidity. The rate of decay of superfluid velocity and the superfluid density for moving helium films are obtained The results are applicable to all temperatures on and below the critical point. Velocity exponents are directly related to the superfluid density of a film at rest. Finite-velocity effects are shown to account for pronounced changes in the dissipation and in the superfluid density near the critical point. This paper also confirms the prediction that, for a film at rest, the critical point value of rho/sub s//T is a universal constant. At any nonzero velocity, however, finite-velocity effects will mask this result. The subcritical static polarizability of a two-dimensional Coulomb gas with hard-core interactions is obtained, in direct analogy to the rho/sub s/ calculation.

• Research Organization: Institute for Advanced Study, Princeton, New Jersey 08540
• OSTI ID: 6564809
• Journal Information: Phys. Rev., B: Solid State; (United States), Journal Name: Phys. Rev., B: Solid State; (United States) Vol. 18:7; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL TEMPERATURE
EVEN-EVEN NUCLEI
FILMS
FLUIDS
HELIUM 4
HELIUM II
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MECHANICS
NUCLEI
PHYSICAL PROPERTIES
QUANTUM FLUIDS
RENORMALIZATION
STABLE ISOTOPES
STATISTICAL MECHANICS
SUPERFLUIDITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS
VORTICES