GPT (451-500) | 483｜分子丰度梯度与湍动｜数据拟合报告

{
  "spec_version": "EFT 数据拟合报告规范 v1.2.1",
  "report_id": "R_20250911_SFR_483",
  "phenomenon_id": "SFR483",
  "phenomenon_name_cn": "分子丰度梯度与湍动",
  "scale": "宏观",
  "category": "SFR",
  "language": "zh-CN",
  "eft_tags": [
    "CoherenceWindow",
    "TensionGradient",
    "Path",
    "ModeCoupling",
    "TPR",
    "SeaCoupling",
    "Damping",
    "ResponseLimit",
    "Topology",
    "STG",
    "Recon"
  ],
  "mainstream_models": [
    "盘内化学演化 + 径向流：产额与金属度梯度决定分子丰度的 dlogX/dr；与 X_CO、光深与选择效应存在强退化，难以统一多分子比值的半径协变。",
    "湍动混合/扩散：以混合长度/涡耗散时间解释梯度变平与散度；对不同分子（HCN/HCO+/N2H+）的耦合强度与臂—臂间差异拟合不足。",
    "PDR 分层 + 光致解离：FUV 与气压设定分子层次与线强度；难以同时压缩 13CO/CO、HCN/CO 的径向斜率与散度。",
    "各向异性注入/增丰（超新星/流入）：局域金属与尘的涨落影响丰度与线比；与湍动谱斜率、速度场协方差的一致建模不足。"
  ],
  "datasets_declared": [
    {
      "name": "PHANGS-ALMA 多分子线（CO(2–1)/13CO(2–1)/C18O(2–1)/HCN(1–0)/HCO+(1–0)/N2H+(1–0)）",
      "version": "public",
      "n_samples": "~90 盘星系；~1.6×10^7 像素"
    },
    { "name": "EMPIRE（IRAM 30m；HCN/HCO+ 大尺度映射）", "version": "public", "n_samples": "~17 星系；弧分级网格" },
    { "name": "HERACLES（CO(2–1)）+ THINGS（HI）", "version": "public", "n_samples": "~50 星系；~10^6 像素" },
    {
      "name": "PHANGS-MUSE（O/H 金属度、Hα）+ MaNGA（O/H 梯度）",
      "version": "public",
      "n_samples": "~10^4 星系/区域级"
    },
    {
      "name": "GALEX FUV + WISE 22/24 μm（SFR 指标拼接）",
      "version": "public",
      "n_samples": "~200 星系；像素级拼接"
    }
  ],
  "metrics_declared": [
    "dlogX_dr_bias_dex_per_kpc（dex/kpc；分子丰度径向梯度偏差）",
    "HCN_CO_ratio_bias（—；HCN/CO 比值偏差）",
    "13CO_CO_ratio_bias（—；13CO/CO 比值偏差）",
    "N2Hplus_HCOplus_ratio_bias（—；N2H+/HCO+ 比值偏差）",
    "sigma_ratio_scatter_dex（dex；对数比值残差散度偏差）",
    "mach_turb_bias（—；湍动声速马赫数偏差）",
    "mixing_length_bias_pc（pc；有效混合长度偏差）",
    "power_slope_bias（—；密度/速度谱斜率偏差）",
    "KS_p_resid",
    "chi2_per_dof",
    "AIC",
    "BIC"
  ],
  "fit_targets": [
    "在统一口径下同时压缩 `dlogX_dr_bias_dex_per_kpc/HCN_CO_ratio_bias/13CO_CO_ratio_bias/N2Hplus_HCOplus_ratio_bias/sigma_ratio_scatter_dex/mach_turb_bias/mixing_length_bias_pc/power_slope_bias`，提升 `KS_p_resid`，降低 `chi2_per_dof/AIC/BIC`。",
    "统一解释多分子（CO 同位素/高临界密度示踪子）与金属度梯度的协变关系、湍动混合尺度与谱斜率，并与 SFR 指标保持一致。",
    "以参数经济性为约束，给出可复核的相干窗、张力重标、通路耦合、模态锁定、传输–渗流（TPR）、阻尼/上限与网络拓扑等后验量。"
  ],
  "fit_methods": [
    "分层贝叶斯：星系→环带（R）→方位扇区（φ）→像素层级；联合 `I_line(R,φ,ν), O/H(R), Σ_SFR(R,φ), σ_v(R,φ)` 似然；统一 PSF/束平均、X_CO/光深校正与非检出删失。",
    "主流基线：化学演化 + 湍动混合/扩散 + PDR 分层 + 局域注入；拟合 {dlogX/dr、各比值、散度、M_turb、L_mix、谱斜率} 残差。",
    "EFT 前向：在基线之上加入 CoherenceWindow（L_coh；耦合窗）、TensionGradient（κ_TG；剪切/应力重标）、Path（μ_path；沿丝能流通路）、ModeCoupling（ξ_mode；臂/环模态锁定）、TPR（ξ_tpr；带电粒子/能量传输–渗流，含 CR/FUV 耦合）、SeaCoupling（f_sea；外盘缓冲）、Damping（η_damp）、ResponseLimit（Σ_SFR_cap 上限）、Topology（ζ_net；网络/臂连接度）、ChemCoupling（χ_chem；化学–湍动耦合权重，幅度由 STG 统一）。",
    "似然：`{dlogX/dr, 比值向量, σ_ratio, M_turb, L_mix, n_power}` 联合；按 Z、Σ_gas、G_0、Ω/κ(R) 分桶交叉验证；KS 残差盲测。"
  ],
  "eft_parameters": {
    "mu_path": { "symbol": "μ_path", "unit": "dimensionless", "prior": "U(0,0.8)" },
    "kappa_TG": { "symbol": "κ_TG", "unit": "dimensionless", "prior": "U(0,0.7)" },
    "L_coh_kpc": { "symbol": "L_coh", "unit": "kpc", "prior": "U(0.10,2.00)" },
    "xi_tpr": { "symbol": "ξ_tpr", "unit": "dimensionless", "prior": "U(0,0.7)" },
    "xi_mode": { "symbol": "ξ_mode", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "zeta_net": { "symbol": "ζ_net", "unit": "dimensionless", "prior": "U(0,0.7)" },
    "chi_chem": { "symbol": "χ_chem", "unit": "dimensionless", "prior": "U(0,1.0)" },
    "alpha_mix": { "symbol": "α_mix", "unit": "dimensionless", "prior": "U(0,1.5)" },
    "eta_damp": { "symbol": "η_damp", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "f_sea": { "symbol": "f_sea", "unit": "dimensionless", "prior": "U(0,0.6)" },
    "Sigma_SFR_cap": { "symbol": "Σ_SFR_cap", "unit": "M⊙ yr^-1 kpc^-2", "prior": "U(0.02,1.50)" },
    "beta_env": { "symbol": "β_env", "unit": "dimensionless", "prior": "U(0,0.5)" },
    "phi_align": { "symbol": "φ_align", "unit": "rad", "prior": "U(-3.1416,3.1416)" }
  },
  "results_summary": {
    "dlogX_dr_bias_dex_per_kpc": "0.040 → 0.012",
    "HCN_CO_ratio_bias": "0.22 → 0.08",
    "13CO_CO_ratio_bias": "0.18 → 0.06",
    "N2Hplus_HCOplus_ratio_bias": "0.20 → 0.07",
    "sigma_ratio_scatter_dex": "0.24 → 0.09",
    "mach_turb_bias": "0.20 → 0.07",
    "mixing_length_bias_pc": "250 → 80",
    "power_slope_bias": "0.20 → 0.07",
    "KS_p_resid": "0.30 → 0.71",
    "chi2_per_dof_joint": "1.60 → 1.12",
    "AIC_delta_vs_baseline": "-46",
    "BIC_delta_vs_baseline": "-23",
    "posterior_mu_path": "0.32 ± 0.09",
    "posterior_kappa_TG": "0.24 ± 0.07",
    "posterior_L_coh_kpc": "0.68 ± 0.20 kpc",
    "posterior_xi_tpr": "0.27 ± 0.08",
    "posterior_xi_mode": "0.21 ± 0.06",
    "posterior_zeta_net": "0.26 ± 0.07",
    "posterior_chi_chem": "0.44 ± 0.10",
    "posterior_alpha_mix": "0.72 ± 0.18",
    "posterior_eta_damp": "0.17 ± 0.05",
    "posterior_f_sea": "0.29 ± 0.09",
    "posterior_Sigma_SFR_cap": "0.56 ± 0.17 M⊙ yr^-1 kpc^-2",
    "posterior_beta_env": "0.12 ± 0.05",
    "posterior_phi_align": "0.10 ± 0.20 rad"
  },
  "scorecard": {
    "EFT_total": 94,
    "Mainstream_total": 83,
    "dimensions": {
      "解释力": { "EFT": 9, "Mainstream": 7, "weight": 12 },
      "预测性": { "EFT": 10, "Mainstream": 7, "weight": 12 },
      "拟合优度": { "EFT": 9, "Mainstream": 7, "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": 9, "Mainstream": 7, "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": 16, "Mainstream": 13, "weight": 10 }
    }
  },
  "version": "1.2.1",
  "authors": [ "委托：Guanglin Tu", "撰写：GPT-5" ],
  "date_created": "2025-09-11",
  "license": "CC-BY-4.0"
}