# Continuum phase-transition model reference

Family 228: Continuum phase transitions for radial pair potentials. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Particle-simulation researchers can use the constructed radial interactions as reference systems exhibiting a first-order transition.

## Applicability and commercial boundary

Existence of special stable potentials does not prove every realistic fluid has the same transition or provide a general phase-diagram solver.

## Initial business decision

Conditional research. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Extract a numerically usable potential and effective transition parameters, if available.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[A continuum temperature singularity for a radial pair potential](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-continuum-temperature-singularity-for-a-radial-pair-potential-September-24-2026/paper.pdf).