Landau–Lifshitz equations
E334542
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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Landau–Lifshitz–Gilbert equation | 3 |
| Landau–Lifshitz equation | 1 |
| Landau–Lifshitz equations canonical | 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 equations
self-linksurface differs
ⓘ
surface form:
Landau–Lifshitz–Bloch equation
Landau–Lifshitz equations self-linksurface differs ⓘ
surface form:
Landau–Lifshitz–Gilbert equation
|
| 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
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Landau–Lifshitz equations Description of subject: 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.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Landau–Lifshitz–Gilbert equation
this entity surface form:
Landau–Lifshitz–Gilbert equation
this entity surface form:
Landau–Lifshitz–Bloch equation
this entity surface form:
Landau–Lifshitz equation
this entity surface form:
Landau–Lifshitz–Gilbert equation