Triple

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).

Phrase: Cahn–Hilliard free energy functional | Statement: [John W. Cahn, notableConcept, Cahn–Hilliard free energy functional]

Target entity: Cahn–Hilliard free energy functional
Context triple: [John W. Cahn, notableConcept, Cahn–Hilliard free energy functional]

• A. Cahn–Hilliard equation chosen
  The Cahn–Hilliard equation is a nonlinear partial differential equation that models phase separation and coarsening in binary mixtures and other systems undergoing spinodal decomposition.
• B. Tolman length in thermodynamics of curved interfaces
  The Tolman length in thermodynamics of curved interfaces is a theoretical parameter that quantifies how the surface tension of a fluid interface depends on its curvature, especially for small droplets and bubbles.
• C. Gibbs dividing surface
  The Gibbs dividing surface is an idealized mathematical interface in thermodynamics used to separate phases and define interfacial properties such as surface tension and adsorption.
• D. Finite Elements of Nonlinear Continua
  "Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
• E. Flory–Huggins solution theory
  Flory–Huggins solution theory is a thermodynamic model that describes the mixing behavior and phase separation of polymer solutions by accounting for the size difference between polymer chains and solvent molecules.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.