L1 ⚛ L1-338 ⊙ Testnet

Radiation Damage Cascade Dynamics

Materials Science · Atomic-scale defect production

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⬇ L1-338.md

# ⚛ L1 Principle — Radiation Damage Cascade Dynamics **ID:** `L1-338` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Materials Science — *Atomic-scale defect production* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** defect cluster distribution > **📡 Carrier:** ion · **🌫 Noise:** poisson > **⚖ Difficulty (δ):** 10 · **⛓ Block:** 41554129 --- ## 🧠 1. Introduction **Radiation Damage Cascade Dynamics** is a **nonlinear inverse problem** whose unknown lives in **defect cluster distribution** space, within the **Atomic-scale defect production** sub-domain of **Materials Science**. Measurements consist of ions detected after acceleration or extraction via a **TEM void defect imaging** sensing mechanism. The forward operator applies, in order: E · NRT cascade operator; E · cluster dynamics operator; applies a smooth nonlinear function element-wise; O · defect distribution operator. Observations are corrupted by Poisson counting noise. Severe: multi-scale, multi-temperature; inversion is under-constrained from single-observable dpa measurements. ## ⚙ 2. Forward Model Physical chain: **x** → E · NRT cascade → E · cluster dynamics → Pointwise nonlinearity → O · defect distribution → **y** (detector). ``` y = `O.defect_distribution` f(·) `E.cluster_dynamics` `E.NRT_cascade` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `E.NRT_cascade` | E · nrt cascade operator | | `E.cluster_dynamics` | E · cluster dynamics operator | | `N.pointwise` | Applies a smooth nonlinear function element-wise | | `O.defect_distribution` | O · defect distribution operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Materials Science | | Sub domain | Atomic-scale defect production | | Carrier | ion | | Problem class | nonlinear_inverse | | Solution space | defect_cluster_distribution | | Noise model | poisson | | Integration axis | time | | Difficulty delta | 10 | | L dag | 4.2 | ## 📡 4. Measurement Model Severe: multi-scale, multi-temperature; inversion is under-constrained from single-observable dpa measurements. | Metric | Value | |---|---| | Metric | swelling_relative_error | | Secondary | void_density_relative_error | ## 📏 5. Operating Range (Ω) **Center problem class:** `radiation_damage` · **Forward operator:** `radiation_damage_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | T k | — | 600 | | Dpa | — | 1 | | Pka kev | — | 10 | | Material | — | Fe | | Flux dpa s | s | 1e-07 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | T k | — | 4 – 1200 | | Dpa | — | 0.0001 – 100 | | Pka kev | — | 0.1 – 1000 | | Flux dpa s | s | 1e-10 – 0.0001 | ## 🎯 6. Tolerance (ε) **Center tolerance:** swelling rel error <= 0.06 | Metric | Range | |---|---| | Swelling relative error | 0.02 – 0.6 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **swelling_relative_error**, with κ = `2000` and δ = `10`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x7f4c364d35e8d8826b3267dad649c20a14ad7f8e3f52d399c704d9364192e3b2` - **Chain tx hash:** `0xafb48b83d94b2f4c63b8486cd1bac1e05cf215b07bd050bcebb2541de5fece45` - **Chain block:** `41554129` --- ## File Mapping This bundle consists of: `L1-338.md`, `L1-338.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-338.md` | Source of truth — edit this | Human or LLM | | `L1-338.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 `L1-338`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-338.md).
Regenerate L1-338.json so every field matches the Markdown.
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L2-338-001 Radiation Damage Cascade Dynamics Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-338",
  "chain_block": 41554129,
  "chain_hash": "0x7f4c364d35e8d8826b3267dad649c20a14ad7f8e3f52d399c704d9364192e3b2",
  "chain_tx_hash": "0xafb48b83d94b2f4c63b8486cd1bac1e05cf215b07bd050bcebb2541de5fece45",
  "domain": "Materials Science",
  "hardness_fn": {
    "delta": 10,
    "kappa": 2000,
    "metric": "swelling_relative_error",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "swelling_relative_error",
    "regime": "Severe: multi-scale, multi-temperature; inversion is under-constrained from single-observable dpa measurements.",
    "secondary": "void_density_relative_error"
  },
  "physics_fingerprint": {
    "L_DAG": 4.2,
    "carrier": "ion",
    "difficulty_delta": 10,
    "domain": "Materials Science",
    "integration_axis": "time",
    "noise_model": "poisson",
    "primitives": [
      "E.NRT_cascade",
      "E.cluster_dynamics",
      "N.pointwise",
      "O.defect_distribution"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "TEM_void_defect_imaging",
    "solution_space": "defect_cluster_distribution",
    "sub_domain": "Atomic-scale defect production",
    "title": "Radiation Damage Cascade Dynamics"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "radiation_damage_forward"
    ],
    "allowed_omega_dimensions": [
      "PKA_keV",
      "dpa",
      "T_K",
      "material",
      "flux_dpa_s"
    ],
    "allowed_problem_classes": [
      "radiation_damage"
    ],
    "center_spec": {
      "epsilon_fn_center": "swelling rel error \u003c= 0.06",
      "forward_operator": "radiation_damage_forward",
      "input_format": "measurement_only",
      "omega": {
        "PKA_keV": 10,
        "T_K": 600,
        "dpa": 1.0,
        "flux_dpa_s": 1e-07,
        "material": "Fe"
      },
      "problem_class": "radiation_damage"
    },
    "epsilon_bounds": {
      "swelling_relative_error": [
        0.02,
        0.6
      ]
    },
    "omega_bounds": {
      "PKA_keV": [
        0.1,
        1000
      ],
      "T_K": [
        4,
        1200
      ],
      "dpa": [
        0.0001,
        100
      ],
      "flux_dpa_s": [
        1e-10,
        0.0001
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Atomic-scale defect production",
  "title": "Radiation Damage Cascade Dynamics"
}

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