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 equation | Statement: [John W. Cahn, notableFor, Cahn–Hilliard equation]

Target entity: Cahn–Hilliard equation
Context triple: [John W. Cahn, notableFor, Cahn–Hilliard equation]

• 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. Allen–Cahn equation
  The Allen–Cahn equation is a reaction–diffusion partial differential equation used to model phase separation and interface motion in multi-phase systems.
• C. Mullins–Sekerka instability
  The Mullins–Sekerka instability is a morphological instability that occurs during diffusion-limited solidification or crystal growth, leading to pattern formation such as dendrites at moving phase boundaries.
• D. Ostwald ripening
  Ostwald ripening is a process in materials science where larger particles grow at the expense of smaller ones due to differences in solubility or chemical potential, leading to coarsening of the system over time.
• E. Kardar–Parisi–Zhang equation
  The Kardar–Parisi–Zhang equation is a fundamental stochastic partial differential equation that models the dynamic scaling and roughening of growing interfaces in nonequilibrium statistical physics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.