Triple

T2126282
Position Surface form Disambiguated ID Type / Status
Subject Boltzmann equation E46431 entity
Predicate hasLimit P16655 FINISHED
Object 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.
E236563 NE FINISHED

How this triple was built (4 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: Vlasov equation (for long-range interactions and negligible collisions) | Statement: [Boltzmann equation, hasLimit, Vlasov equation (for long-range interactions and negligible collisions)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Vlasov equation (for long-range interactions and negligible collisions)
Context triple: [Boltzmann equation, hasLimit, Vlasov equation (for long-range interactions and negligible collisions)]
  • A. 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.
  • B. 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.
  • C. Smoluchowski coagulation equation
    The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
  • D. Gross–Pitaevskii equation
    The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
  • E. Interaction of solitons in a collisionless plasma and the recurrence of initial states
    "Interaction of solitons in a collisionless plasma and the recurrence of initial states" is a landmark 1965 paper by Norman J. Zabusky and Martin Kruskal that introduced the concept of solitons and demonstrated their particle-like interactions and recurrence behavior in nonlinear wave systems.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Vlasov equation (for long-range interactions and negligible collisions)
Triple: [Boltzmann equation, hasLimit, Vlasov equation (for long-range interactions and negligible collisions)]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Vlasov equation (for long-range interactions and negligible collisions)
Target entity description: 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.
  • A. 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.
  • B. 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.
  • C. Smoluchowski coagulation equation
    The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
  • D. Gross–Pitaevskii equation
    The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
  • E. Interaction of solitons in a collisionless plasma and the recurrence of initial states
    "Interaction of solitons in a collisionless plasma and the recurrence of initial states" is a landmark 1965 paper by Norman J. Zabusky and Martin Kruskal that introduced the concept of solitons and demonstrated their particle-like interactions and recurrence behavior in nonlinear wave systems.
  • F. None of above. chosen

Provenance (5 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_69a88a1626548190ae59a5028c3baa8e completed March 4, 2026, 7:37 p.m.
NER Named-entity recognition batch_69abbb59182081908470f9be97e272c8 completed March 7, 2026, 5:44 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae51a0e8ac8190992588bf2bf496ab completed March 9, 2026, 4:50 a.m.
NEDg Description generation batch_69ae521c7810819086b88bb5f062597e completed March 9, 2026, 4:52 a.m.
NED2 Entity disambiguation (via description) batch_69ae52e79c788190bbe6eb5baba08a71 completed March 9, 2026, 4:56 a.m.
Created at: March 4, 2026, 7:44 p.m.