Fractal surface dimensionality and finite-size scaling at the superfluid transition of confined /sup 4/He

Journal Article · Tue Apr 01 00:00:00 EST 1986 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.33.5066· OSTI ID:6054256

Gasparini, F M; Mhlanga, S

A connection between surface fractal dimensionality and the critical behavior of confined /sup 4/He at the superfluid transition is suggested. It is shown that in the specific case of Nuclepore filters the disagreement with bulk-correlation-length scaling can be resolved if one ascribes a fractal dimension to the confining surface of about 2.34. Explicit scaling functions for both the specific heat and the superfluid density are suggested. Measurements of adsorption isotherms for 0.2-..mu..m filters support this fractal conjecture and yield a surface dimensionality of 2.24 +- 0.02.

• Research Organization: Department of Physics and Astronomy, State University of New York at Buffalo, Amherst, New York 14260
• OSTI ID: 6054256
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 33:7
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HELIUM 4
PHASE TRANSFORMATIONS
SUPERFLUIDITY
SURFACE PROPERTIES
CONFINEMENT
DENSITY
LAMBDA POINT
MECHANICAL FILTERS
ROUGHNESS
SCALE INVARIANCE
SCALING LAWS
SPECIFIC HEAT
TEXTURE
EVEN-EVEN NUCLEI
FILTERS
HELIUM ISOTOPES
INVARIANCE PRINCIPLES
ISOTOPES
LIGHT NUCLEI
NUCLEI
PHYSICAL PROPERTIES
STABLE ISOTOPES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
640450* - Fluid Physics- Superfluidity