Statistical mechanics of dilute liquid mixtures of /sup 3/He in /sup 4/He

Journal Article · Thu Jul 01 04:00:00 EDT 1982 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.26.66· OSTI ID:5016584

Jackson, H W

The Woo, Tan, Massey quantum-mechanical theory of dilute mixtures of /sup 3/He in liquid /sup 4/He is extended to incorporate superfluid flow. Then statistical-mechanical principles are employed to find explicit formulas for thermodynamic and hydrodynamic properties of mixtures, such as internal energy, free energy, entropy, pressure, chemical potential, and normal-fluid and superfluid densities. This paper is the first in a planned series that applies methods originally developed for pure liquid /sup 4/He to dilute mixtures as a means of establishing a comprehensive theory that includes a theoretical bridge between a microscopic description of the mixtures and a hydrodynamic two-fluid model. Ultimately effects of applied electric and magnetic fields on dilute solutions are also planned to be treated.

• Research Organization: Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109
• OSTI ID: 5016584
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 26:1; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
DISPERSIONS
ENERGY
ENTROPY
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUID FLOW
FLUIDS
FREE ENERGY
FUNCTIONS
HAMILTONIANS
HELIUM 3
HELIUM 4
HELIUM II
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
LIQUIDS
MATHEMATICAL OPERATORS
MECHANICS
MIXTURES
NUCLEI
PHYSICAL PROPERTIES
QUANTUM FLUIDS
QUANTUM MECHANICS
QUANTUM OPERATORS
STABLE ISOTOPES
SUPERFLUIDITY
THERMODYNAMIC PROPERTIES