# 📐 L2 Spec — Eulerian-Lagrangian — dispersed-phase particle tracking Mismatch-Only Spec
**ID:** `L2-185-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-185`](/artifact/l1/L1-185)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553971
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 2048 |
| W | px | 32 – 2048 |
| Snr db | dB | 0 – 40 |
| N times | — | 50 – 100000 |
| N particles | — | 100.0 – 1000000000.0 |
| Collision error | — | 0.0 – 0.2 |
| Drag model error | — | 0.0 – 0.3 |
| Turbulent dispersion error | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
16.0 + 0.3*SNR_dB - 10.0*drag_model_error - 10.0*collision_error - 10.0*turbulent_dispersion_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`8c10eabf4eec517903713497225945a955ebd787b8b6d1b7584909d3544dc153`
## 5. On-chain Registration
- **Chain hash:** `0xe4d12ea897ac9fcebb9936c9551e823908397a29aff384dd1b58a4536f07108c`
- **Chain tx hash:** `0x13b1e68c3ce02bd2aaa6363bdd3cbdf90271d7815bca12a5a6047615d4c1b2d4`
- **Chain block:** `41553971`
---
## File Mapping
This bundle consists of: `L2-185-001.md`, `L2-185-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-185-001.md` | Source of truth — edit this | Human or LLM |
| `L2-185-001.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 `L2-185-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._