Canonical equations of hydrodynamics of quantum liquids

Journal Article · Fri Sep 01 04:00:00 EDT 1978 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00056658· OSTI ID:6500672

Khalatnikov, I M; Lebedev, V V

A method of constructing canonical equations for quantum liquids is proposed. For superfluid /sup 4/He the forms of the Hamiltonian equations of hydrodynamics and conservation laws are obtained. The kinetic terms in the equations of hydrodynamics are written out. The set of equations obtained is valid up to the lambda point. For anisotropic quantum liquid /sup 3/He-A canonical equations both for spin and orbital hydrodynamics are found with the spin and orbital moments taken into account. The forms of the laws of the conservation of momentum, angular momentum, mass, and energy are obtained. The kinetic terms in the equation of hydrodynamics are considered, and both the dissipative and reactive coefficents are classified. A transfer equation for the order parameter near the A transition point is proposed with the dissipative taken into account.

• Research Organization: L. D. Landau Institute for Theoretical Physics, Academy of Sciences of the USSR, Moscow, USSR
• OSTI ID: 6500672
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 31:5; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
EQUATIONS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUID MECHANICS
FLUIDS
FUNCTIONS
HAMILTONIAN FUNCTION
HELIUM 3
HELIUM 3 A
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LAMBDA POINT
LIGHT NUCLEI
MECHANICS
NUCLEI
PHYSICAL PROPERTIES
QUANTUM FLUIDS
STABLE ISOTOPES
SUPERFLUIDITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE