Triple
T9756428
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Boltzmann–BGK equation |
E236564
|
entity |
| Predicate | approximates |
P4460
|
FINISHED |
| Object | Boltzmann collision operator |
E236562
|
NE FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Boltzmann collision operator | Statement: [Boltzmann–BGK equation, approximates, Boltzmann collision operator]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Boltzmann collision operator Context triple: [Boltzmann–BGK equation, approximates, Boltzmann collision operator]
-
A.
Boltzmann collision operator
chosen
The Boltzmann collision operator is the nonlinear integral term in kinetic theory that models how particle collisions change the distribution of molecular velocities in a gas.
-
B.
Boltzmann equation
The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
-
C.
Boltzmann–BGK equation
The Boltzmann–BGK equation is a simplified kinetic model that replaces the complex collision term of the Boltzmann equation with a single relaxation-time approximation to describe gas particle dynamics.
-
D.
Boltzmann–Kac equation
The Boltzmann–Kac equation is a kinetic equation in statistical mechanics that models the evolution of the velocity distribution of particles in a gas, providing a probabilistic framework related to the classical Boltzmann equation.
-
E.
Vlasov equation (for long-range interactions and negligible collisions)
The Vlasov equation is a kinetic equation that describes the evolution of the distribution function of a many-particle system with long-range interactions in the collisionless (or weakly collisional) regime, widely used in plasma physics and astrophysics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ca84d4eddc8190996fec1417d2bae8 |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cd9fb2889481908fba4a449d5007fe |
completed | April 1, 2026, 10:44 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d1b02ff0f4819080410d4e7e809a24 |
completed | April 5, 2026, 12:43 a.m. |
Created at: March 30, 2026, 8:24 p.m.