L1 ⚛ L1-346 ⊙ Testnet

PIC (Particle-in-Cell) — plasma kinetic simulation

Plasma Physics · PIC kinetic plasma simulation

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⬇ L1-346.md

# ⚛ L1 Principle — PIC (Particle-in-Cell) — plasma kinetic simulation **ID:** `L1-346` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Plasma Physics — *PIC kinetic plasma simulation* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** particle trajectories plus fields > **📡 Carrier:** plasma · **🌫 Noise:** poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554095 --- ## 🧠 1. Introduction **PIC (Particle-in-Cell) — plasma kinetic simulation** is a **linear inverse problem** whose unknown lives in **particle trajectories plus fields** space, within the **PIC kinetic plasma simulation** sub-domain of **Plasma Physics**. Measurements consist of plasma particle and field diagnostics via a **probes cameras** sensing mechanism. The forward operator applies, in order: L · particle push operator; L · field interpolate operator; L · charge deposit operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson counting noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · particle push → L · field interpolate → L · charge deposit → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.charge_deposit` `L.field_interpolate` `L.particle_push` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.particle_push` | L · particle push operator | | `L.field_interpolate` | L · field interpolate operator | | `L.charge_deposit` | L · charge deposit operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Plasma Physics | | Sub domain | PIC kinetic plasma simulation | | Carrier | plasma | | Problem class | linear_inverse | | Solution space | particle_trajectories_plus_fields | | Noise model | poisson | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `pic` · **Forward operator:** `pic_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 25 | | N cells | — | 1e+06 | | N times | — | 5000 | | N particles | — | 1e+08 | | Statistical noise | — | 0 | | Initial dist error | — | 0 | | Grid dispersion error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | N cells | — | 1000.0 – 10000000000.0 | | N times | — | 100 – 10000000 | | N particles | — | 10000.0 – 10000000000000.0 | | Statistical noise | — | 0.0 – 0.3 | | Initial dist error | — | 0.0 – 0.3 | | Grid dispersion error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `600` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xb75c4b1f2b2a1a0ea7339a43e1548b59c72958d3797685a4b413ede7357ae632` - **Chain tx hash:** `0xfb75ec00b441e0858325f45c8d086e8735a09a5f630f4e582c9722ec9625ed58` - **Chain block:** `41554095` --- ## File Mapping This bundle consists of: `L1-346.md`, `L1-346.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-346.md` | Source of truth — edit this | Human or LLM | | `L1-346.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 `L1-346`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-346.md).
Regenerate L1-346.json so every field matches the Markdown.
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Output each file in its own fenced code block tagged with the filename.

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L2-346-001 PIC (Particle-in-Cell) — plasma kinetic simulation Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-346",
  "chain_block": 41554095,
  "chain_hash": "0xb75c4b1f2b2a1a0ea7339a43e1548b59c72958d3797685a4b413ede7357ae632",
  "chain_tx_hash": "0xfb75ec00b441e0858325f45c8d086e8735a09a5f630f4e582c9722ec9625ed58",
  "domain": "Plasma Physics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 600,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "plasma",
    "difficulty_delta": 5,
    "domain": "Plasma Physics",
    "integration_axis": "temporal",
    "noise_model": "poisson",
    "primitives": [
      "L.particle_push",
      "L.field_interpolate",
      "L.charge_deposit",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "probes_cameras",
    "solution_space": "particle_trajectories_plus_fields",
    "sub_domain": "PIC kinetic plasma simulation",
    "title": "PIC (Particle-in-Cell) \u2014 plasma kinetic simulation"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "pic_forward"
    ],
    "allowed_omega_dimensions": [
      "N_particles",
      "N_cells",
      "N_times",
      "SNR_dB",
      "statistical_noise",
      "grid_dispersion_error",
      "initial_dist_error",
      "statistical_noise",
      "grid_dispersion_error",
      "initial_dist_error"
    ],
    "allowed_problem_classes": [
      "pic"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "pic_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_cells": 1000000.0,
        "N_particles": 100000000.0,
        "N_times": 5000,
        "SNR_dB": 25,
        "grid_dispersion_error": 0.0,
        "initial_dist_error": 0.0,
        "statistical_noise": 0.0
      },
      "problem_class": "pic"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_cells": [
        1000.0,
        10000000000.0
      ],
      "N_particles": [
        10000.0,
        10000000000000.0
      ],
      "N_times": [
        100,
        10000000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "grid_dispersion_error": [
        0.0,
        0.2
      ],
      "initial_dist_error": [
        0.0,
        0.3
      ],
      "statistical_noise": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "PIC kinetic plasma simulation",
  "title": "PIC (Particle-in-Cell) \u2014 plasma kinetic simulation"
}

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