L1 ⚛ L1-492 ⊙ Testnet

BSIM Compact MOSFET Model

Semiconductor Physics · Compact device modeling

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⬇ L1-492.md

# ⚛ L1 Principle — BSIM Compact MOSFET Model **ID:** `L1-492` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Semiconductor Physics — *Compact device modeling* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** bsim parameter vector > **📡 Carrier:** electron · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554141 --- ## 🧠 1. Introduction **BSIM Compact MOSFET Model** is a **nonlinear inverse problem** whose unknown lives in **bsim parameter vector** space, within the **Compact device modeling** sub-domain of **Semiconductor Physics**. Measurements consist of electrons collected by an electron detector via a **compact IV CV fit** sensing mechanism. The forward operator applies, in order: E · threshold model operator; E · mobility model operator; K · filter operator; O · IV operator. Observations are corrupted by additive Gaussian noise. Parameter-rich (>100 fitting knobs); non-unique locally; regularized fits required. ## ⚙ 2. Forward Model Physical chain: **x** → E · threshold model → E · mobility model → O · IV → **y** (detector). ``` y = `O.IV` `E.mobility_model` `E.threshold_model` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `E.threshold_model` | E · threshold model operator | | `E.mobility_model` | E · mobility model operator | | `O.IV` | O · iv operator | **🛰 Estimator components** _(used inside the solver, not in the forward equation)_: | Primitive | What it does | |---|---| | `K.filter` | K · filter operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Semiconductor Physics | | Sub domain | Compact device modeling | | Carrier | electron | | Problem class | nonlinear_inverse | | Solution space | bsim_parameter_vector | | Noise model | gaussian | | Integration axis | bias_sweep | | Difficulty delta | 3 | | L dag | 3.2 | ## 📡 4. Measurement Model Parameter-rich (>100 fitting knobs); non-unique locally; regularized fits required. | Metric | Value | |---|---| | Metric | IV_log_relative_error | | Secondary | Vth_distribution_error | ## 📏 5. Operating Range (Ω) **Center problem class:** `compact_model_fit` · **Forward operator:** `bsim_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | T k | — | 300 | | L nm | nm | 20 | | W nm | nm | 100 | | Vds range v | — | 1.2 | | Vgs range v | — | 1.2 | | N bias points | — | 400 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | T k | — | 200 – 400 | | L nm | nm | 5 – 1000 | | W nm | nm | 20 – 10000 | | Vds range v | — | 0.5 – 3.3 | | Vgs range v | — | 0.5 – 3.3 | | N bias points | — | 50 – 10000 | ## 🎯 6. Tolerance (ε) **Center tolerance:** log10(Ids) error <= 0.02 | Metric | Range | |---|---| | Iv log relative error | 0.005 – 0.3 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **IV_log_relative_error**, with κ = `100` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xaa2037be22bf03ddeb45405a114f23f2d3a258b3dc029ae27ea54cb1e5342aec` - **Chain tx hash:** `0x9b643ab8a8a60bb4976c56cf034513b7c83fefed0ece7dd0c34870b4226c3246` - **Chain block:** `41554141` --- ## File Mapping This bundle consists of: `L1-492.md`, `L1-492.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-492.md` | Source of truth — edit this | Human or LLM | | `L1-492.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 `L1-492`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-492.md).
Regenerate L1-492.json so every field matches the Markdown.
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L2-492-001 BSIM Compact MOSFET Model Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-492",
  "chain_block": 41554141,
  "chain_hash": "0xaa2037be22bf03ddeb45405a114f23f2d3a258b3dc029ae27ea54cb1e5342aec",
  "chain_tx_hash": "0x9b643ab8a8a60bb4976c56cf034513b7c83fefed0ece7dd0c34870b4226c3246",
  "domain": "Semiconductor Physics",
  "hardness_fn": {
    "delta": 3,
    "kappa": 100,
    "metric": "IV_log_relative_error",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "IV_log_relative_error",
    "regime": "Parameter-rich (\u003e100 fitting knobs); non-unique locally; regularized fits required.",
    "secondary": "Vth_distribution_error"
  },
  "physics_fingerprint": {
    "L_DAG": 3.2,
    "carrier": "electron",
    "difficulty_delta": 3,
    "domain": "Semiconductor Physics",
    "integration_axis": "bias_sweep",
    "noise_model": "gaussian",
    "primitives": [
      "E.threshold_model",
      "E.mobility_model",
      "K.filter",
      "O.IV"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "compact_IV_CV_fit",
    "solution_space": "bsim_parameter_vector",
    "sub_domain": "Compact device modeling",
    "title": "BSIM Compact MOSFET Model"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "bsim_forward"
    ],
    "allowed_omega_dimensions": [
      "Vgs_range_V",
      "Vds_range_V",
      "T_K",
      "L_nm",
      "W_nm",
      "N_bias_points"
    ],
    "allowed_problem_classes": [
      "compact_model_fit"
    ],
    "center_spec": {
      "epsilon_fn_center": "log10(Ids) error \u003c= 0.02",
      "forward_operator": "bsim_forward",
      "input_format": "measurement_only",
      "omega": {
        "L_nm": 20,
        "N_bias_points": 400,
        "T_K": 300,
        "Vds_range_V": 1.2,
        "Vgs_range_V": 1.2,
        "W_nm": 100
      },
      "problem_class": "compact_model_fit"
    },
    "epsilon_bounds": {
      "IV_log_relative_error": [
        0.005,
        0.3
      ]
    },
    "omega_bounds": {
      "L_nm": [
        5,
        1000
      ],
      "N_bias_points": [
        50,
        10000
      ],
      "T_K": [
        200,
        400
      ],
      "Vds_range_V": [
        0.5,
        3.3
      ],
      "Vgs_range_V": [
        0.5,
        3.3
      ],
      "W_nm": [
        20,
        10000
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Compact device modeling",
  "title": "BSIM Compact MOSFET Model"
}

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