Triple

T22600999
Position Surface form Disambiguated ID Type / Status
Subject Cahn–Hilliard equation E574814 entity
Predicate relatedTo P37 FINISHED
Object Model B in Hohenberg–Halperin classification
Model B in the Hohenberg–Halperin classification is a dynamical universality class describing the diffusive, conserved-order-parameter dynamics of systems undergoing phase separation, such as those modeled by the Cahn–Hilliard equation.
E1544338 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: Model B in Hohenberg–Halperin classification | Statement: [Cahn–Hilliard equation, relatedTo, Model B in Hohenberg–Halperin classification]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Model B in Hohenberg–Halperin classification
Context triple: [Cahn–Hilliard equation, relatedTo, Model B in Hohenberg–Halperin classification]
  • A. Ehrenfest classification of phase transitions
    The Ehrenfest classification of phase transitions is an early theoretical scheme that categorizes phase transitions by the order of discontinuity in thermodynamic derivatives, such as entropy or specific heat, at the transition point.
  • B. Landau theory of second-order phase transitions
    Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
  • C. Landau–Peierls instability
    Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
  • D. Kosterlitz–Thouless–Halperin–Nelson–Young theory
    The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
  • E. Aizenman–Barsky method for phase transitions
    The Aizenman–Barsky method for phase transitions is a probabilistic technique in statistical mechanics used to rigorously analyze and prove properties of phase transitions, particularly in percolation and related lattice models.
  • 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: Model B in Hohenberg–Halperin classification
Triple: [Cahn–Hilliard equation, relatedTo, Model B in Hohenberg–Halperin classification]
Generated description
Model B in the Hohenberg–Halperin classification is a dynamical universality class describing the diffusive, conserved-order-parameter dynamics of systems undergoing phase separation, such as those modeled by the Cahn–Hilliard equation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Model B in Hohenberg–Halperin classification
Target entity description: Model B in the Hohenberg–Halperin classification is a dynamical universality class describing the diffusive, conserved-order-parameter dynamics of systems undergoing phase separation, such as those modeled by the Cahn–Hilliard equation.
  • A. Ehrenfest classification of phase transitions
    The Ehrenfest classification of phase transitions is an early theoretical scheme that categorizes phase transitions by the order of discontinuity in thermodynamic derivatives, such as entropy or specific heat, at the transition point.
  • B. Landau theory of second-order phase transitions
    Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
  • C. Landau–Peierls instability
    Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
  • D. Kosterlitz–Thouless–Halperin–Nelson–Young theory
    The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
  • E. Aizenman–Barsky method for phase transitions
    The Aizenman–Barsky method for phase transitions is a probabilistic technique in statistical mechanics used to rigorously analyze and prove properties of phase transitions, particularly in percolation and related lattice models.
  • 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_69e245bc11308190b69d794d5d1e0bb6 completed April 17, 2026, 2:37 p.m.
NER Named-entity recognition batch_69f1626c6ce08190b991e89b12c67a5a completed April 29, 2026, 1:44 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0b3d659f988190a3b33666ddf6e680 completed May 18, 2026, 4:25 p.m.
NEDg Description generation batch_6a0b3e34494881908a06eeabafbfb94a completed May 18, 2026, 4:28 p.m.
NED2 Entity disambiguation (via description) batch_6a0b3f0d4e1c819091919aa6107df8a5 completed May 18, 2026, 4:32 p.m.
Created at: April 17, 2026, 2:50 p.m.