Landau–Lifshitz equation
Encyclopedia
In physics, the Landau–Lifshitz equation (LLE), named for Lev Landau
and Evgeny Lifshitz
, is a name used for several different differential equations
Lev Landau
Lev Davidovich Landau was a prominent Soviet physicist who made fundamental contributions to many areas of theoretical physics...
and Evgeny Lifshitz
Evgeny Lifshitz
Evgeny Mikhailovich Lifshitz was a leading Soviet physicist of Jewish origin and the brother of physicist Ilya Mikhailovich Lifshitz. Lifshitz is well known in general relativity for coauthoring the BKL conjecture concerning the nature of a generic curvature...
, is a name used for several different differential equations
- For the Landau–Lifshitz aeroacoustic equation see aeroacousticsAeroacousticsAeroacoustics is a branch of acoustics that studies noise generation via either turbulent fluid motion or aerodynamic forces interacting with surfaces. Noise generation can also be associated with periodically varying flows...
. - For the Landau–Lifshitz equation describing the precessionPrecessionPrecession is a change in the orientation of the rotation axis of a rotating body. It can be defined as a change in direction of the rotation axis in which the second Euler angle is constant...
al motion of magnetizationMagnetizationIn classical electromagnetism, magnetization or magnetic polarization is the vector field that expresses the density of permanent or induced magnetic dipole moments in a magnetic material...
M in a solid with an effective magnetic field H and with dampingMagnetic dampingMagnetic Damping is a form of damping that occurs when a magnetic field moves through a conductor .- Definition :When a magnetic field moves through a conductor a current called an Eddy current is induced in the conductor due to the magnetic field's movement...
, see Landau–Lifshitz–Gilbert equationLandau–Lifshitz–Gilbert equationIn physics, the Landau-Lifshitz-Gilbert equation , named for Lev Landau and Evgeny Lifshitz and T. L. Gilbert, is a name used for a differential equation describing the precessional motion of magnetization M in a solid...
. - For the Landau–Lifshitz equation describing a magnetic field in dimensions see Landau–Lifshitz modelLandau–Lifshitz modelIn solid-state physics, the Landau–Lifshitz equation , named for Lev Landau and Evgeny Lifshitz, is a partial differential equation describing time evolution of magnetism in solids, depending on 1 time variable and 1, 2, or 3 space variables....
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