# 📐  L2 Spec — Dissipative Particle Dynamics (DPD) Mismatch-Only Spec

**ID:** `L2-474-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-474`](/artifact/l1/L1-474)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41555303

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Dt | — | 0.01 – 0.05 |
| R c | — | 0.8 – 1.5 |
| Gamma | — | 1.0 – 10.0 |
| N beads | — | 1000 – 200000 |
| N steps | — | 20000 – 500000 |
| A ij aa | — | 10.0 – 30.0 |
| A ij ab | — | 15.0 – 60.0 |
| Rho bead | — | 1.0 – 6.0 |
| T reduced | — | 0.5 – 1.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.010 + 0.02*(rho_bead-3.0) + 0.005*abs(a_ij_AB-25.0) + 0.03*r_c_error
```

## 3. Difficulty

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

## 4. Fingerprint

`b031108381664d973137daf1d1deaf4b0618495541402fd989b675a0a0e9acd9`

## 5. On-chain Registration

- **Chain hash:** `0x8758530edb5579ef56d1e9d54a109d4cf83966af2abd368db73e2795784308d2`
- **Chain tx hash:** `0x933dc112db6b969c4e26c3b0fae2c04776ead2e496ace7a95a1c5d45216ccc8e`
- **Chain block:** `41555303`

---

## File Mapping

This bundle consists of: `L2-474-001.md`, `L2-474-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-474-001.md` | Source of truth — edit this | Human or LLM |
| `L2-474-001.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 `L2-474-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._