# 📐  L2 Spec — Solid-State Diffusion (Fick + Onsager) Mismatch-Only Spec

**ID:** `L2-333-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-333`](/artifact/l1/L1-333)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554132

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 300 – 2500 |
| T s | s | 1 – 10000000.0 |
| Dx um | µm | 0.01 – 100 |
| Grid n | N | 64 – 2048 |
| N species | — | 2 – 10 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.02 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

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

## 4. Fingerprint

`8f1f985257f72bb3d3baf11999e321c374012cd0064b64d3498be825260e6c76`

## 5. On-chain Registration

- **Chain hash:** `0xfa94ea5bd7d765d2de8cfd17a15062bd31f1d842fd98c6e8702f9dcdf160eac1`
- **Chain tx hash:** `0x2b6931fe4217b5ef033aed09d1b4e3b12ab3445f58575ba88c99b3bb2386e368`
- **Chain block:** `41554132`

---

## File Mapping

This bundle consists of: `L2-333-001.md`, `L2-333-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-333-001.md` | Source of truth — edit this | Human or LLM |
| `L2-333-001.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 `L2-333-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._