Fourier's law of heat conduction
E75374
Fourier's law of heat conduction is a fundamental physical principle that relates heat flux within a material to the negative gradient of temperature, forming the basis of classical heat transfer theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Fourier's law of heat conduction canonical | 1 |
| Fourier’s law of heat conduction | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T601759 — 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: Fourier's law of heat conduction Context triple: [Jean-Baptiste Joseph Fourier, notableConcept, Fourier's law of heat conduction]
-
A.
Stefan–Boltzmann law
The Stefan–Boltzmann law is a fundamental principle of thermal radiation stating that the total energy radiated per unit surface area of a black body is proportional to the fourth power of its absolute temperature.
-
B.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
C.
Wien displacement law
Wien's displacement law is a physical law that relates the temperature of a blackbody to the wavelength at which it emits radiation most intensely.
-
D.
Planck radiation law
Planck radiation law is a fundamental formula in quantum physics that describes the spectral distribution of electromagnetic radiation emitted by a black body in thermal equilibrium.
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E.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
- 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: Fourier's law of heat conduction Target entity description: Fourier's law of heat conduction is a fundamental physical principle that relates heat flux within a material to the negative gradient of temperature, forming the basis of classical heat transfer theory.
-
A.
Stefan–Boltzmann law
The Stefan–Boltzmann law is a fundamental principle of thermal radiation stating that the total energy radiated per unit surface area of a black body is proportional to the fourth power of its absolute temperature.
-
B.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
C.
Wien displacement law
Wien's displacement law is a physical law that relates the temperature of a blackbody to the wavelength at which it emits radiation most intensely.
-
D.
Planck radiation law
Planck radiation law is a fundamental formula in quantum physics that describes the spectral distribution of electromagnetic radiation emitted by a black body in thermal equilibrium.
-
E.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
constitutive relation
ⓘ
heat transfer law ⓘ physical law ⓘ |
| analogousTo |
Fick's first law of diffusion
ⓘ
Ohm's law for electrical conduction ⓘ |
| appliesTo |
anisotropic materials
ⓘ
gases ⓘ isotropic materials ⓘ liquids ⓘ solids ⓘ |
| assumes |
continuum hypothesis
ⓘ
linear response to temperature gradient ⓘ local thermodynamic equilibrium ⓘ |
| basisOf |
classical heat conduction theory
ⓘ
heat equation ⓘ |
| classification | phenomenological law ⓘ |
| describes | linear relationship between heat flux and temperature gradient ⓘ |
| expressedAs |
q = -k ∇T
ⓘ
q_i = -k_{ij} ∂T/∂x_j ⓘ |
| field |
continuum mechanics
ⓘ
heat transfer ⓘ statistical physics ⓘ thermodynamics ⓘ |
| governs |
steady-state heat conduction
ⓘ
transient heat conduction ⓘ |
| historicalOrigin | Joseph Fourier's work on heat conduction in the early 19th century ⓘ |
| introducedInWork | Théorie analytique de la chaleur ⓘ |
| mayFailWhen |
at very low temperatures
ⓘ
for ballistic heat transport ⓘ in nanoscale systems ⓘ |
| namedAfter |
Joseph Fourier
ⓘ
linked to:
Jean-Baptiste Joseph Fourier
|
| parameter |
scalar thermal conductivity in isotropic media
ⓘ
thermal conductivity tensor ⓘ |
| quantityDescribed |
heat flux vector
ⓘ
thermal conductivity ⓘ |
| relates |
heat flux
ⓘ
temperature gradient ⓘ |
| states | heat flux is proportional to the negative temperature gradient ⓘ |
| usedIn |
electronics cooling
ⓘ
engineering heat transfer analysis ⓘ geophysics ⓘ materials science ⓘ thermal design of structures ⓘ |
| usesSymbol |
T
ⓘ
k ⓘ q ⓘ ∇ ⓘ |
| validWhen |
heat transfer is diffusive
ⓘ
mean free path is small compared to system size ⓘ |
| yearProposed | 1822 ⓘ |
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: Fourier's law of heat conduction Description of subject: Fourier's law of heat conduction is a fundamental physical principle that relates heat flux within a material to the negative gradient of temperature, forming the basis of classical heat transfer theory.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Jean-Baptiste
linked to: Fourier's law of heat conduction