Debye relaxation
E518986
Debye relaxation is a model in dielectric physics that describes how polar molecules in a material respond over time to changes in an external electric field, characterized by a single relaxation time.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Debye relaxation canonical | 2 |
| Cole–Cole model | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5420108 — 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: Debye relaxation Context triple: [Peter Debye, knownFor, Debye relaxation]
-
A.
Néel relaxation
Néel relaxation is a magnetic relaxation process in which the magnetization of single-domain nanoparticles flips between energy minima due to thermal fluctuations without physical rotation of the particles.
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B.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
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C.
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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D.
Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
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E.
Butler–Volmer equation
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
- 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: Debye relaxation Target entity description: Debye relaxation is a model in dielectric physics that describes how polar molecules in a material respond over time to changes in an external electric field, characterized by a single relaxation time.
-
A.
Néel relaxation
Néel relaxation is a magnetic relaxation process in which the magnetization of single-domain nanoparticles flips between energy minima due to thermal fluctuations without physical rotation of the particles.
-
B.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
-
C.
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.
-
D.
Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
-
E.
Butler–Volmer equation
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
dielectric relaxation model
ⓘ
phenomenological model ⓘ physical model ⓘ |
| appliesTo |
polar dielectrics
ⓘ
polar liquids ⓘ some polar polymers ⓘ |
| associatedWith | rotational diffusion of dipoles ⓘ |
| assumes |
Markovian dynamics
ⓘ
exponential decay of polarization ⓘ linear response ⓘ non-interacting dipoles ⓘ |
| characterizedBy | single relaxation time ⓘ |
| contrastWith | non-Debye relaxation ⓘ |
| describes | time-dependent response of polar molecules to an external electric field ⓘ |
| field |
condensed matter physics
ⓘ
dielectric physics ⓘ |
| frequencyDomainBehavior |
high-frequency permittivity approaches epsilon_infinity
ⓘ
low-frequency permittivity approaches epsilon_s ⓘ |
| generalizedBy |
Cole–Cole model
ⓘ
linked to:
Debye relaxation
Cole–Davidson model ⓘ Havriliak–Negami model ⓘ |
| governingEquation | dP/dt = -(P - P_eq)/tau ⓘ |
| hasMathematicalForm | complex permittivity epsilon(omega) = epsilon_infinity + (epsilon_s - epsilon_infinity) / (1 + i omega tau) ⓘ |
| hasParameter |
high-frequency permittivity epsilon_infinity
ⓘ
relaxation time tau ⓘ static permittivity epsilon_s ⓘ |
| hasType | single-time-constant relaxation ⓘ |
| introducedBy | Peter Debye ⓘ |
| limitation |
cannot describe broad relaxation time distributions
ⓘ
ignores cooperative molecular motions ⓘ often inadequate for complex polymers ⓘ |
| neglects |
dipole–dipole interactions
ⓘ
distribution of relaxation times ⓘ |
| predicts |
Lorentzian loss peak as a function of frequency
ⓘ
dispersion of real part of permittivity ⓘ |
| relatedTo | Arrhenius temperature dependence of relaxation time ⓘ |
| relatesQuantity |
angular frequency
ⓘ
complex permittivity ⓘ dielectric loss ⓘ |
| timeDomainForm | P(t) = P_0 exp(-t/tau) for step change in field ⓘ |
| usedIn |
dielectric spectroscopy
ⓘ
material characterization ⓘ microwave engineering ⓘ molecular dynamics modeling ⓘ |
| usedToExtract |
activation energies for dipolar relaxation
ⓘ
molecular dipole relaxation times from dielectric data ⓘ |
| yearProposed | 1929 ⓘ |
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: Debye relaxation Description of subject: Debye relaxation is a model in dielectric physics that describes how polar molecules in a material respond over time to changes in an external electric field, characterized by a single relaxation time.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Debye relaxation