Fick's first law of diffusion
E369670
Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Fick's second law of diffusion | 2 |
| Fick's first law of diffusion canonical | 1 |
| Fick's laws of diffusion | 1 |
| Fickian diffusion | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3562750 — 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.
Target entity: Fick's first law of diffusion Context triple: [Fourier's law of heat conduction, analogousTo, Fick's first law of diffusion]
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A.
Fourier's law of heat conduction
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.
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B.
On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
"On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
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C.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
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D.
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.
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E.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Fick's first law of diffusion Target entity description: Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
-
A.
Fourier's law of heat conduction
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.
-
B.
On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
"On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
-
C.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
-
D.
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.
-
E.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
constitutive relation
ⓘ
law of diffusion ⓘ physical law ⓘ |
| appliesTo |
diffusion in fluids
ⓘ
diffusion in solids ⓘ mass transport by diffusion ⓘ |
| assumes |
no accumulation of diffusing species
ⓘ
steady state diffusion ⓘ |
| describes | diffusive flux ⓘ |
| dimensionOfDiffusionCoefficient | area per unit time ⓘ |
| dimensionOfFlux | amount per unit area per unit time ⓘ |
| drivingForce | concentration gradient ⓘ |
| expresses | linear phenomenological relation between flux and driving force ⓘ |
| field |
biophysics
ⓘ
chemical engineering ⓘ materials science ⓘ physical chemistry ⓘ statistical mechanics ⓘ thermodynamics ⓘ transport phenomena ⓘ |
| hasQuantity |
concentration gradient
ⓘ
diffusion coefficient ⓘ diffusive flux ⓘ |
| historicalYear | 1855 ⓘ |
| implies | transport from high concentration to low concentration ⓘ |
| introducedBy |
Adolf Fick
ⓘ
surface form:
Adolf Eugen Fick
|
| mathematicalForm | J = -D ∂C/∂x ⓘ |
| namedAfter | Adolf Fick ⓘ |
| relatedTo |
Fick's first law of diffusion
self-linksurface differs
ⓘ
surface form:
Fick's laws of diffusion
Fick's first law of diffusion self-linksurface differs ⓘ
surface form:
Fick's second law of diffusion
Fick's first law of diffusion self-linksurface differs ⓘ
surface form:
Fickian diffusion
|
| relates | diffusive flux to concentration gradient ⓘ |
| signConvention | negative sign indicates flux opposite to concentration gradient ⓘ |
| states | the diffusive flux is proportional to the negative gradient of concentration ⓘ |
| usedIn |
corrosion science
ⓘ
drug delivery modeling ⓘ geological transport modeling ⓘ mass transfer calculations ⓘ modeling diffusion in membranes ⓘ semiconductor processing ⓘ |
| usesSymbol |
C for concentration
ⓘ
D for diffusion coefficient ⓘ J for diffusive flux ⓘ x for spatial coordinate ⓘ |
| validWhen |
diffusion coefficient is constant in space
ⓘ
system is isothermal ⓘ |
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.
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.
Subject: Fick's first law of diffusion Description of subject: Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.