# 📐  L2 Spec — Cahn-Hilliard Phase Separation Mismatch-Only Spec

**ID:** `L2-328-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-328`](/artifact/l1/L1-328)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554131

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| M | — | 0.01 – 100 |
| T k | — | 77 – 1500 |
| Dx nm | nm | 0.5 – 100 |
| Phi 0 | — | 0.1 – 0.9 |
| Chi ab | — | 1.5 – 20 |
| Grid n | N | 64 – 2048 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.04 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |

## 4. Fingerprint

`57aefd89155e396600aa25129bde8cd9377d0f06bb16a09a75dd739236f58636`

## 5. On-chain Registration

- **Chain hash:** `0xecc5ce6daaec7b20fedb91909453bf768ae591ea6003e2b2b3d65a1555187e02`
- **Chain tx hash:** `0x7c5423fb2014f40f5737ac695a4c8c75c60fe276ab8ea30376d69778c7691713`
- **Chain block:** `41554131`

---

## File Mapping

This bundle consists of: `L2-328-001.md`, `L2-328-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-328-001.md` | Source of truth — edit this | Human or LLM |
| `L2-328-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-328-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._