Lagrange and Hamilton equations of hydrodynamics for anisotropic superfluid He/sup 3/-A liquid

Journal Article · Sat Oct 01 04:00:00 EDT 1977 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:6681342

Lebedev, V V; Khalatnikov, I M

The Lagrangian method of obtaining the equations of hydrodynamics for He II is generalized to the case of the quantum anisotropic liquid He/sup 3/-A. A complete set of He/sup 3/-A orbital hydrodynamic equations is derived on the basis of the Lagrange equations. It is shown how the set of Lagrange equations can be reduced to the Hamilton form. The spin subsystem parameters are included in the Hamiltonian formalism The He/sup 3/-A spin equations of hydrodynamics are found by taking into account the presence of an external magnetic field. The general form of the conservation laws for a system obeying the Hamilton equations is presented. The energy, momentum, angular momentum and total spin conservation laws are found on this basis. The form of the dissipative corrections to the He/sup 3/-A equations of hydrodynamics is considered. The kinetic coefficients are enumerated and the requirements are found which they should satisfy in the case of a combined analysis of the spin and orbital subsystems as well as in the case of an analysis of only the latter subsystem.

• Research Organization: L. D. Landau Institute of Theoretical Physics, USSR Academy of Sciences
• OSTI ID: 6681342
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 46:4; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ANISOTROPY
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
EQUATIONS
EVEN-ODD NUCLEI
FLUID MECHANICS
HAMILTON-JACOBI EQUATIONS
HELIUM 3
HELIUM 3 A
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LAGRANGE EQUATIONS
LIGHT NUCLEI
MECHANICS
NUCLEI
PARTICLE PROPERTIES
SPIN
STABLE ISOTOPES