L1 ⚛ L1-340 ⊙ Testnet

Battery Electrode Electrochemistry (Newman-Doyle-Fuller)

Materials Science · Porous-electrode Li-ion transport

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⬇ L1-340.md

# ⚛ L1 Principle — Battery Electrode Electrochemistry (Newman-Doyle-Fuller) **ID:** `L1-340` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Materials Science — *Porous-electrode Li-ion transport* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** p2d battery state > **📡 Carrier:** ion · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554129 --- ## 🧠 1. Introduction **Battery Electrode Electrochemistry (Newman-Doyle-Fuller)** is a **nonlinear inverse problem** whose unknown lives in **p2d battery state** space, within the **Porous-electrode Li-ion transport** sub-domain of **Materials Science**. Measurements consist of ions detected after acceleration or extraction via a **battery cycling impedance** sensing mechanism. The forward operator applies, in order: E · electrolyte transport operator; E · solid diffusion operator; E · butler volmer operator; a fixed-point or gradient iteration on the unknown; O · V cell operator. Observations are corrupted by additive Gaussian noise. Stiff coupled PDE; well-posed in forward; inversion of (D_s, i_0) from V(t,I) is moderately ill-conditioned. ## ⚙ 2. Forward Model Physical chain: **x** → E · electrolyte transport → E · solid diffusion → E · butler volmer → O · V cell → **y** (detector). ``` y = `O.V_cell` `E.butler_volmer` `E.solid_diffusion` `E.electrolyte_transport` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `E.electrolyte_transport` | E · electrolyte transport operator | | `E.solid_diffusion` | E · solid diffusion operator | | `E.butler_volmer` | E · butler volmer operator | | `O.V_cell` | O · v cell operator | **🛠 Solver components** _(used inside the solver, not in the forward equation)_: | Primitive | What it does | |---|---| | `O.iter` | A fixed-point or gradient iteration on the unknown | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Materials Science | | Sub domain | Porous-electrode Li-ion transport | | Carrier | ion | | Problem class | nonlinear_inverse | | Solution space | p2d_battery_state | | Noise model | gaussian | | Integration axis | time_state_of_charge | | Difficulty delta | 5 | | L dag | 4.1 | ## 📡 4. Measurement Model Stiff coupled PDE; well-posed in forward; inversion of (D_s, i_0) from V(t,I) is moderately ill-conditioned. | Metric | Value | |---|---| | Metric | V_cell_L2_mV | | Secondary | capacity_fade_error | ## 📏 5. Operating Range (Ω) **Center problem class:** `battery_electrode` · **Forward operator:** `p2d_battery_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | T k | — | 298 | | C rate | — | 1 | | N mesh | — | 100 | | Dod range | — | 0 – 1 | | Thickness um | µm | 100 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | T k | — | 253 – 353 | | C rate | — | 0.01 – 100 | | N mesh | — | 20 – 1000 | | Cycles | — | 1 – 10000 | | Thickness um | µm | 10 – 1000 | ## 🎯 6. Tolerance (ε) **Center tolerance:** V_cell L2 <= 10 mV | Metric | Range | |---|---| | V cell l2 mv | 2.0 – 200.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **V_cell_L2_mV**, with κ = `800` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x7dd4698a1356ff03b4222b69c4310c1c0854941c4d07a01bc2cb3a23f917be5c` - **Chain tx hash:** `0xf35d5c75d4707471da1f38b986bd3ccc5b60c496eba71816e02b048298e5352d` - **Chain block:** `41554129` --- ## File Mapping This bundle consists of: `L1-340.md`, `L1-340.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-340.md` | Source of truth — edit this | Human or LLM | | `L1-340.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 `L1-340`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-340.md).
Regenerate L1-340.json so every field matches the Markdown.
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L2-340-001 Battery Electrode Electrochemistry (Newman-Doyle-Fuller) Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-340",
  "chain_block": 41554129,
  "chain_hash": "0x7dd4698a1356ff03b4222b69c4310c1c0854941c4d07a01bc2cb3a23f917be5c",
  "chain_tx_hash": "0xf35d5c75d4707471da1f38b986bd3ccc5b60c496eba71816e02b048298e5352d",
  "domain": "Materials Science",
  "hardness_fn": {
    "delta": 5,
    "kappa": 800,
    "metric": "V_cell_L2_mV",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "V_cell_L2_mV",
    "regime": "Stiff coupled PDE; well-posed in forward; inversion of (D_s, i_0) from V(t,I) is moderately ill-conditioned.",
    "secondary": "capacity_fade_error"
  },
  "physics_fingerprint": {
    "L_DAG": 4.1,
    "carrier": "ion",
    "difficulty_delta": 5,
    "domain": "Materials Science",
    "integration_axis": "time_state_of_charge",
    "noise_model": "gaussian",
    "primitives": [
      "E.electrolyte_transport",
      "E.solid_diffusion",
      "E.butler_volmer",
      "O.iter",
      "O.V_cell"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "battery_cycling_impedance",
    "solution_space": "p2d_battery_state",
    "sub_domain": "Porous-electrode Li-ion transport",
    "title": "Battery Electrode Electrochemistry (Newman-Doyle-Fuller)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "p2d_battery_forward"
    ],
    "allowed_omega_dimensions": [
      "thickness_um",
      "C_rate",
      "T_K",
      "N_mesh",
      "DOD_range"
    ],
    "allowed_problem_classes": [
      "battery_electrode"
    ],
    "center_spec": {
      "epsilon_fn_center": "V_cell L2 \u003c= 10 mV",
      "forward_operator": "p2d_battery_forward",
      "input_format": "measurement_only",
      "omega": {
        "C_rate": 1.0,
        "DOD_range": [
          0,
          1
        ],
        "N_mesh": 100,
        "T_K": 298,
        "thickness_um": 100
      },
      "problem_class": "battery_electrode"
    },
    "epsilon_bounds": {
      "V_cell_L2_mV": [
        2.0,
        200.0
      ]
    },
    "omega_bounds": {
      "C_rate": [
        0.01,
        100
      ],
      "N_mesh": [
        20,
        1000
      ],
      "T_K": [
        253,
        353
      ],
      "cycles": [
        1,
        10000
      ],
      "thickness_um": [
        10,
        1000
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Porous-electrode Li-ion transport",
  "title": "Battery Electrode Electrochemistry (Newman-Doyle-Fuller)"
}

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