Theory of periodic solutions of the stationary Landau-Lifshitz equation

Journal Article · Wed Apr 01 00:00:00 EST 1987 · Theor. Math. Phys.; (United States)

OSTI ID:5614085

Bar'yakhtar, V G; Leonov, I A; Soboleva, T K

In the phenomenological approach, quasi-one-dimensional structures in a magnet of a definite symmetry are described by solutions of the stationary Landau-Lifshitz equation or, equivalently, by the solutions of a variational problem with Lagrangian L whose actual form is determined by the requirement of invariance with respect to the symmetry group of the paramagnetic phase of the given magnet. In the present note, the methods of the variational calculus in the large are used to estimate the number of possible magnetic phases with periodic superstructure corresponding to a given free energy functional of the magnet.

• OSTI ID: 5614085
• Journal Information: Theor. Math. Phys.; (United States), Vol. 69:1; Other Information: Translated from Teor. Mat. Fiz.; 69: No. 1, 152-155(Oct 1986)
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
GINZBURG-LANDAU THEORY
VARIATIONAL METHODS
WAVE PROPAGATION
EUCLIDEAN SPACE
FERROMAGNETIC MATERIALS
LAGRANGIAN FUNCTION
MAGNETIC SUSCEPTIBILITY
MATHEMATICAL MANIFOLDS
ONE-DIMENSIONAL CALCULATIONS
SUPERCONDUCTING MAGNETS
SUPERCONDUCTIVITY
SYMMETRY GROUPS
TRAVELLING WAVES
TWO-DIMENSIONAL CALCULATIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL EQUIPMENT
ELECTRICAL PROPERTIES
ELECTROMAGNETS
EQUIPMENT
FUNCTIONS
MAGNETIC MATERIALS
MAGNETIC PROPERTIES
MAGNETS
MATERIALS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PHYSICAL PROPERTIES
RIEMANN SPACE
SPACE
SUPERCONDUCTING DEVICES
656100* - Condensed Matter Physics- Superconductivity