GPT (251-300) | 287｜密度波与湍流耦合过强｜数据拟合报告

{
  "spec_version": "EFT 数据拟合报告规范 v1.2.1",
  "report_id": "R_20250908_GAL_287",
  "phenomenon_id": "GAL287",
  "phenomenon_name_cn": "密度波与湍流耦合过强",
  "scale": "宏观",
  "category": "GAL",
  "language": "zh-CN",
  "eft_tags": [
    "Path",
    "TensionGradient",
    "CoherenceWindow",
    "ModeCoupling",
    "SeaCoupling",
    "STG",
    "Damping",
    "ResponseLimit",
    "Topology",
    "Recon"
  ],
  "mainstream_models": [
    "密度波 + 摆动放大 + 级联：稳态/准稳态密度波驱动非轴对称势，摆动放大注入能量至中小尺度，湍流按 `P(k)∝k^α` 级联并在盘厚度内耗散；耦合强度随剪切与 Q 变化。",
    "反馈注入与压力支撑：恒星形成反馈（SNe/辐射/风）注入湍动能，气体以压力/各向异性弥散支撑；与密度波同相位时放大速度扰动与线宽。",
    "相位锁定与非线性耦合：密度波图样相位 `φ_dw` 与速度扰动 `v'` 的相关增强 `corr(φ_dw,v')↑`，导致结构函数与功率谱从科氏/柯氏标度偏离。",
    "观测系统学：去投影、PSF/光谱分辨率、窗口函数、臂段分割与探针差异（Hα/CO/H I）可系统性放大 `σ_gas`、`P(k)` 斜率与相位相关估计。"
  ],
  "datasets_declared": [
    {
      "name": "MaNGA DR17 / SAMI / MUSE（IFS：v、σ、Σ_*、Σ_SFR、Q_eff）",
      "version": "public",
      "n_samples": "~2×10^4"
    },
    { "name": "PHANGS-ALMA/HST（CO/多波段：臂段分割与相位场 φ_dw）", "version": "public", "n_samples": "数百星系臂段" },
    { "name": "THINGS / VLA（H I：外盘湍流与压力支撑）", "version": "public", "n_samples": "数十近邻盘" },
    { "name": "HSC-SSP / DESI Legacy（深度成像：臂几何与去投影）", "version": "public", "n_samples": "广域" },
    { "name": "IllustrisTNG / EAGLE / Auriga（先验：级联与驱动比例）", "version": "public", "n_samples": "模拟库" }
  ],
  "metrics_declared": [
    "xi_coup_DT（—；密度波—湍流耦合系数）与 corr_phi_vp（—；`corr(φ_dw, v')`）",
    "E_turb_frac（—；湍流动能/环向动能分数）与 sigma_gas（km s^-1）",
    "S2_slope（—；二阶结构函数斜率）与 Pk_slope（—；面密度功率谱斜率）",
    "i_pitch（deg；螺距角）与 Q_eff（—；有效 Toomre Q）",
    "RMSE_DT（—；`{xi_coup, corr, E_turb, σ_gas, S2, P(k), i, Q}` 联合残差）",
    "KS_p_resid",
    "chi2_per_dof",
    "AIC",
    "BIC"
  ],
  "fit_targets": [
    "在统一去投影/PSF/窗口/臂段口径下，降低 `xi_coup_DT` 与 `corr(φ_dw,v')` 的系统偏高，恢复结构函数与功率谱至物理可接受区间，减少 RMSE_DT。",
    "保持与剪切（κ/Ω）、气体分数、盘厚度与宿主质量的已知相关，不劣化 `i_pitch` 与 `Q_eff` 的统计一致性。",
    "在参数经济性约束下显著改善 χ²/AIC/BIC/KS，并给出相干窗、张力梯度与耦合上下限的可复核量。"
  ],
  "fit_methods": [
    "层级贝叶斯（HBM）：星系→（环段/臂段）→像素/谱素；合并 φ_dw 场、速度/线宽、S2 与 P(k) 的似然；选择函数/窗口/PSF/探针差异回放并可审计。",
    "主流基线：密度波 + 摆动放大 + 反馈驱动湍流 + 级联；得到 `xi_coup,base、corr_base、E_turb,base、σ_gas,base、S2_base、P(k)_base、i_base、Q_base` 并回放系统学。",
    "EFT 前向：在基线之上引入 Path（丝状体能/角动量通道降低有效剪切、定向能流）、TensionGradient（∇T 重标 `Σ_crit` 与剪切扩散系数，抑制同相位放大）、CoherenceWindow（`L_coh,r/L_coh,t` 维持相位/时间相干并抑制跨尺度过耦合）、ModeCoupling（`ξ_mode` 调控 m 与湍模耦合强度）、Damping（`η_damp` 跨相阻尼）、ResponseLimit（耦合上下限 `coup_floor/coup_cap`），幅度由 STG 统一；Recon 重构几何与选择函数耦合。"
  ],
  "eft_parameters": {
    "mu_path": { "symbol": "μ_path", "unit": "dimensionless", "prior": "U(0,1.0)" },
    "kappa_TG": { "symbol": "κ_TG", "unit": "dimensionless", "prior": "U(0,0.8)" },
    "L_coh_r": { "symbol": "L_coh,r", "unit": "kpc", "prior": "U(1,12)" },
    "L_coh_t": { "symbol": "L_coh,t", "unit": "Myr", "prior": "U(80,800)" },
    "xi_mode": { "symbol": "ξ_mode", "unit": "dimensionless", "prior": "U(0,0.8)" },
    "coup_floor": { "symbol": "coup_floor", "unit": "dimensionless", "prior": "U(0.10,0.25)" },
    "coup_cap": { "symbol": "coup_cap", "unit": "dimensionless", "prior": "U(0.45,0.70)" },
    "eta_damp": { "symbol": "η_damp", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "phi_align": { "symbol": "φ_align", "unit": "deg", "prior": "U(-180,180)" }
  },
  "results_summary": {
    "xi_coup_DT": "0.62 → 0.34",
    "corr_phi_vp": "0.58 → 0.31",
    "E_turb_frac": "0.28 → 0.20",
    "sigma_gas_kms": "20.1 → 16.8",
    "S2_slope": "0.85 → 0.66",
    "Pk_slope": "−2.20 → −2.62",
    "i_pitch_deg": "18.3 → 18.9",
    "Q_eff": "1.45 → 1.36",
    "RMSE_DT": "0.23 → 0.12",
    "KS_p_resid": "0.25 → 0.64",
    "chi2_per_dof_joint": "1.59 → 1.12",
    "AIC_delta_vs_baseline": "-35",
    "BIC_delta_vs_baseline": "-18",
    "posterior_mu_path": "0.47 ± 0.10",
    "posterior_kappa_TG": "0.28 ± 0.08",
    "posterior_L_coh_r": "6.3 ± 1.6 kpc",
    "posterior_L_coh_t": "330 ± 90 Myr",
    "posterior_xi_mode": "0.32 ± 0.09",
    "posterior_coup_floor": "0.18 ± 0.03",
    "posterior_coup_cap": "0.57 ± 0.06",
    "posterior_eta_damp": "0.19 ± 0.05",
    "posterior_phi_align": "−6 ± 16 deg"
  },
  "scorecard": {
    "EFT_total": 94,
    "Mainstream_total": 86,
    "dimensions": {
      "解释力": { "EFT": 10, "Mainstream": 9, "weight": 12 },
      "预测性": { "EFT": 10, "Mainstream": 9, "weight": 12 },
      "拟合优度": { "EFT": 9, "Mainstream": 8, "weight": 12 },
      "稳健性": { "EFT": 9, "Mainstream": 8, "weight": 10 },
      "参数经济性": { "EFT": 8, "Mainstream": 8, "weight": 10 },
      "可证伪性": { "EFT": 8, "Mainstream": 6, "weight": 8 },
      "跨尺度一致性": { "EFT": 10, "Mainstream": 9, "weight": 12 },
      "数据利用率": { "EFT": 9, "Mainstream": 9, "weight": 8 },
      "计算透明度": { "EFT": 7, "Mainstream": 7, "weight": 6 },
      "外推能力": { "EFT": 14, "Mainstream": 12, "weight": 10 }
    }
  },
  "version": "1.2.1",
  "authors": [ "委托：Guanglin Tu", "撰写：GPT-5" ],
  "date_created": "2025-09-08",
  "license": "CC-BY-4.0"
}