{
  "visual_id": "E28-thermal-ensembles",
  "title": "Finite-temperature mean-field ensembles at mean A=16",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T194538217202Z-E35-thermal-ensembles"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20260930T194538217202Z-E35-thermal-ensembles/thermal-HF-candidates.csv",
      "sha256": "95e03b4f6849bf1530a5e480ca0544a7a5e95ab875859b2c1b54ebd47772d3c2"
    },
    {
      "path": "runs/20260930T194538217202Z-E35-thermal-ensembles/all-thermal-HF-starts.csv",
      "sha256": "5adb7e01f4f6b9a976c0ec00045e50102cbf080c691186366e15276602cfd1d6"
    },
    {
      "path": "runs/20260930T194538217202Z-E35-thermal-ensembles/thermodynamic-derivatives.json",
      "sha256": "bd2e999877439d293e7ef35e793c4aa5e20c174be675acecea71bd52828ec6e9"
    },
    {
      "path": "runs/20260930T194538217202Z-E35-thermal-ensembles/results.json",
      "sha256": "bab041dbf0f77f6fcc703c19b5f2693fb9323113b287fe1463f89f0032ca5e58"
    }
  ],
  "configurations": {
    "E35-thermal-ensembles": {
      "parents": [
        "20260930T010050322377Z-E35-lattice-HF",
        "20260930T183857233297Z-E35-finite-exact"
      ],
      "L_HF": [
        3,
        4
      ],
      "A_HF": [
        4,
        8,
        12,
        16
      ],
      "temperatures_MeV": [
        0.05,
        0.5,
        1.0,
        2.0,
        4.0,
        6.0,
        8.0,
        12.0,
        16.0,
        24.0
      ],
      "L_canonical": 2,
      "canonical_counts": [
        [
          1,
          1
        ],
        [
          2,
          1
        ]
      ],
      "tolerance": 2e-10,
      "maximum_iterations": 5000,
      "mixing": 0.35,
      "sources": [
        "https://arxiv.org/pdf/2011.05855",
        "https://arxiv.org/abs/1602.04539"
      ]
    }
  },
  "assumptions": {
    "E35-thermal-ensembles": [
      "Use the frozen finite-range A/B Hamiltonians and HF kernels without fitting. The continuous Hamiltonian is not the original finite-time transfer matrix.",
      "HF is a real spin/isospin saturated number-conserving Gaussian density operator, with four identical one-particle blocks. Fix mean A, not exact A: report its particle-number variance.",
      "Minimize F=4 Tr(t rho)+2 Tr(Gamma[rho] rho)-T S; S=-4 Tr[rho log rho+(1-rho)log(1-rho)]. Occupations solve Fermi-Dirac with one chemical potential.",
      "Uniform and two frozen zero-temperature localized starts are solved independently at each temperature. Only converged roots enter the candidate minimum; they are not proved globally stable.",
      "All complete fixed-charge A2/A3 spectra at L2 give independent canonical traces, with all total momenta and all spin components. The corrected sum of directed periodic images is used for local smearing.",
      "Exact canonical and mean-number HF have different ensembles and particle sectors, so no direct free-energy error is inferred between them.",
      "Box and density dependence are diagnostic only: neither finite-size scaling nor a liquid-gas phase boundary is established. No interface, nucleation rate, physical field response or correlated alpha ensemble is supplied."
    ]
  },
  "plotted_values": {
    "path": "E28-thermal-ensembles-data.json",
    "sha256": "27a1a5474af20946dd1dd38d61e3311c0e3c05fc99bbf980b083b5ac87cb195b"
  },
  "caption": "Every shown point is the lowest free energy among three converged starts of the same finite-range A/B Hamiltonian. The real spin/isospin-saturated Gaussian ensemble fixes mean particle number and permits the displayed number fluctuations. Different L at fixed A also changes density. Cold-energy, free-gas and entropy-derivative controls pass, but this is neither a canonical comparison nor a fixed-density thermodynamic limit. Loss of spatial modulation does not establish a liquid-gas transition, critical point or alpha population.",
  "alt_text": "At mean A=16 the tested local solutions lose spatial modulation as temperature rises. Entropy and substantial particle-number fluctuations increase; finite-volume and interaction-family differences remain.",
  "generator": "src/metastable/public_report.py",
  "generator_sha256": "9e263878b7237d781a41d94693004412279b5cfa808ccd6e335b7b07269910d4",
  "generator_dependencies_sha256": {
    "src/metastable/render.py": "ff4837be5102588b6614aeb2b7880b10c0a0c20a155e2eb7b409014a47a3de01",
    "src/metastable/spin_report.py": "dd5c64c5c658938948672a7dc767aa02c34dde012c3fc4aedfc3642f88796847",
    "src/metastable/continuation_report.py": "f9bbce6d0e201a9f55c826d6e9c47ab901e51a71b4a1f962b52eb08a63ba5fe9",
    "src/metastable/refinement_report.py": "4539c0ec814603105ab3a2b5cc82ce291c0151113b5bd3916cdc235aadb9bfb0",
    "src/metastable/atomic_mass_report.py": "46dd1cdb56a5a02cafe001a1f6a7fb201e149461850df41e012f77a580c3694b",
    "src/metastable/closure_report.py": "b34a03a9e0058eed65722df542dbb92691dd138787e2078b43ee9f18e221f75c",
    "src/metastable/october_report.py": "f93e7f89e43165d8d25e2184b9b32e6e21c3e1ffe66020d35944f263aaecb726",
    "src/metastable/october_followup_report.py": "925d905ff3bddf97a7ace2f68a4a28e7dfea2238c4f81d891dda2a9e70c6d4f6",
    "src/metastable/october_dynamics_report.py": "6b8d84c0ce0d78f52d064c68697f0d9c885cdc736e215b54eba46821dbe59a33",
    "src/metastable/october_calibration_report.py": "f714ef7ccfaa26e847c6135054f53528b3ff1d7096e7d113cffeea333e77e3d2",
    "src/metastable/october_interface_report.py": "2fc8826a33c952d7898154f84830748c26842c9a165d14aa7b7fb9721fac00bd",
    "src/metastable/october_checkpoint8_report.py": "f3b54f23510b9bfeffc5ff04e6df54e967228f43ba25a15e12e34f898cdfe0af",
    "src/metastable/october_checkpoint9_report.py": "4bd987aac59964ccb4768a95e0cb6f7d1fdccbeffe9483860da7b431f2224ae4",
    "src/metastable/october_checkpoint10_report.py": "9da673d773b63298e041914447ffd97065c1cf2b8966c90fc4ebcbee25a0ed63",
    "src/metastable/october_checkpoint11_report.py": "5f01064f02f4c76d0059d348a763b285c92c3677e6cb0ba0bbf7faa1a4b98248",
    "src/metastable/october_checkpoint12_report.py": "46022030652e3a1e274dfd27b36dfab25d90a97fde439b1da44d6f1fdc5140b5",
    "src/metastable/october_checkpoint13_report.py": "997c59be3af1b6b7be95fd4314e0f3b98c562629901a639572284045a65980c2",
    "src/metastable/october_checkpoint14_report.py": "d84de7d8516d8a4d8e21b5f9f279476f3035f719c1c8ab03b7ac1e44bf822240",
    "src/metastable/october_checkpoint15_report.py": "1f6e17b9549dc31fbb58ba578c4d8ed8e219b4ad30810df0a9d7d2d00e63efdc",
    "src/metastable/october_checkpoint16_report.py": "74cb8aac45d1d5ce0e6eb6678e9b6cdf98cd46fd6e264a513b612ab763fcd034",
    "src/metastable/october_checkpoint17_report.py": "9daceb74e91f6f8db0f7d89929226d46c464c284d06d0694f525fecf0c736bf6",
    "src/metastable/october_checkpoint18_report.py": "f33f88e316cae93af87cef75d8df41ce82970c8f8bc466dd7a094a92c5f00f8b",
    "src/metastable/october_checkpoint19_report.py": "ce2250507145354b6478cafaaff98c2b8ae2795c3c309f0d903a920365a77090",
    "src/metastable/october_checkpoint20_report.py": "e2ea0a8a374036254008cf6de8f10352dfb2585c4ccb18c1e850c017e6128294",
    "src/metastable/october_checkpoint21_report.py": "596b873676167227b2c92d358fcdbc0614908a5a9daad1da6227b81fce203eec",
    "src/metastable/publication_files.py": "e68bd0ee4e849a72fa828f0cfcf34cb6b1b9f2a8bbdbb3d51085054915039607"
  },
  "command": "python run.py full public-report",
  "output_sha256": {
    "svg": "175060452b1d69b3ab4372a2635ea55d1ab8d378b7976bc4f603ef400c6a9fb1",
    "png": "b4a985b6b4662ddea47971e9cb5c59c4b949283f025739bbd93ae9954ffb7239"
  }
}