Landau–Lifshitz equations

E334542

equations of motion system of differential equations theoretical physics concept

The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.

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All labels observed (5)

Label	Occurrences
Landau–Lifshitz–Gilbert equation	3
Landau–Lifshitz equation	1
Landau–Lifshitz equations canonical	1
Landau–Lifshitz equations in one dimension	1
Landau–Lifshitz–Bloch equation	1

How this entity was disambiguated

This entity first appeared as the object of triple T3175506 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Landau–Lifshitz equations
Context triple: [Lev Landau, knownFor, Landau–Lifshitz equations]

A. Einstein–Maxwell equations
The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
B. Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
C. Yang–Yang equation
The Yang–Yang equation is a fundamental integral equation in statistical mechanics that describes the thermodynamic properties of one-dimensional interacting Bose gases within the Bethe ansatz framework.
D. Schwinger–Dyson equations
The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
E. Euler–Lagrange equation
The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Landau–Lifshitz equations
Target entity description: The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.

A. Einstein–Maxwell equations
The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
B. Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
C. Yang–Yang equation
The Yang–Yang equation is a fundamental integral equation in statistical mechanics that describes the thermodynamic properties of one-dimensional interacting Bose gases within the Bethe ansatz framework.
D. Schwinger–Dyson equations
The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
E. Euler–Lagrange equation
The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
F. None of above. chosen

Statements (47)

Predicate	Object
instanceOf	equations of motion ⓘ system of differential equations ⓘ theoretical physics concept ⓘ
appliesTo	ferromagnets ⓘ magnetic materials ⓘ nonrelativistic continuum theories ⓘ relativistic continuum theories ⓘ
assumes	magnetization treated as continuous field ⓘ
context	classical field theory ⓘ nonrelativistic field theory ⓘ relativistic field theory ⓘ
dependsOn	damping parameter ⓘ effective magnetic field ⓘ gyromagnetic ratio ⓘ
describes	damping of magnetization ⓘ dynamics of magnetization in ferromagnets ⓘ precession of magnetization in an effective magnetic field ⓘ time evolution of magnetization vector ⓘ
field	condensed matter physics ⓘ continuum mechanics ⓘ magnetism ⓘ theoretical physics ⓘ
formulatedIn	classical continuum limit of spin systems ⓘ
governs	conservation of magnetization magnitude in absence of damping ⓘ
hasForm	nonlinear partial differential equations ⓘ
hasVariant	Landau–Lifshitz–Bloch equation ⓘ linked to: Landau–Lifshitz equations Landau–Lifshitz–Gilbert equation ⓘ linked to: Landau–Lifshitz equations
includes	damping term ⓘ precessional term ⓘ
mathematicalNature	first-order in time ⓘ nonlinear ⓘ
namedAfter	Evgeny Lifshitz ⓘ Lev Landau ⓘ
origin	Soviet school of theoretical physics ⓘ
relatedTo	Bloch equations ⓘ Gilbert damping ⓘ Heisenberg model ⓘ classical spin precession ⓘ
usedFor	modeling domain wall motion ⓘ modeling ferromagnetic resonance ⓘ modeling spin waves ⓘ studying magnetic switching ⓘ
usedIn	magnetic recording theory ⓘ magnetization dynamics simulations ⓘ micromagnetics ⓘ spin dynamics ⓘ spintronics ⓘ

How these facts were elicited