{
  "scope": "Illustrative three-state reversible Markov model, not an experimental fit.",
  "units": "kB=Tb=attempt_rate=1; energies and barriers in kB*Tb, time in inverse attempt rate",
  "energies": [
    0.0,
    0.1,
    6.0
  ],
  "barriers": [
    [
      0.0,
      10.0,
      6.2
    ],
    [
      10.0,
      0.0,
      10.0
    ],
    [
      6.2,
      10.0,
      0.0
    ]
  ],
  "generator_column_convention": [
    [
      -0.0020748305660582187,
      5.017468205617528e-05,
      0.8187307530779817
    ],
    [
      4.5399929762484854e-05,
      -0.00010034936411235057,
      0.01831563888873418
    ],
    [
      0.002029430636295734,
      5.017468205617528e-05,
      -0.8370463919667159
    ]
  ],
  "equilibrium": [
    0.5242969234033815,
    0.47440347445651293,
    0.001299602140105607
  ],
  "eigenvalues": [
    6.556310212319326e-17,
    -0.00018885579174109947,
    -0.8390327161051454
  ],
  "right_modes": [
    [
      -0.5242969234032342,
      0.49816562887379484,
      0.0352230850730207
    ],
    [
      -0.47440347445666053,
      -0.49934377226297283,
      0.0007842079734845083
    ],
    [
      -0.0012996021401052598,
      0.0011781433894739234,
      -0.03600729304650489
    ]
  ],
  "left_modes": [
    [
      -0.999999999999719,
      -1.000000000000311,
      -0.9999999999997327
    ],
    [
      0.9501593593951306,
      -1.0525719121999098,
      0.906541589242217
    ],
    [
      0.06718155972454734,
      0.0016530401139724245,
      -27.70639716211832
    ]
  ],
  "warm_temperature": 1.5,
  "strong_temperature": 2.1286901411007557,
  "fast_to_slow_rate_ratio": 4442.716362415652,
  "initial_states": {
    "warm": {
      "probabilities": [
        0.5118171873726677,
        0.47880855384636695,
        0.009374258780965379
      ],
      "mode_coefficients": [
        -2.669042965398568e-15,
        -0.009174388765344205,
        -0.22455077019795439
      ],
      "TV": 0.012479736030713815,
      "KL": 0.010618136504028106
    },
    "strong_hot": {
      "probabilities": [
        0.4965745091800903,
        0.47378626167594384,
        0.029639229143965797
      ],
      "mode_coefficients": [
        1.2399213048467755e-16,
        1.9931514929893786e-17,
        -0.7870524164995795
      ],
      "TV": 0.028339627003860262,
      "KL": 0.06509003569571237
    },
    "hot_error_0.1pct": {
      "probabilities": [
        0.4965219713086682,
        0.47375836792230513,
        0.029719660769026553
      ],
      "mode_coefficients": [
        1.559031990662912e-16,
        5.235544455948558e-05,
        -0.7892844627335478
      ],
      "TV": 0.028420058628921024,
      "KL": 0.06534455170426137
    }
  },
  "TV_arrival_times": [
    {
      "epsilon_TV": 0.01,
      "warm": 0.4482603575574287,
      "strong_hot": 1.2415200977519747,
      "hot_error_0.1pct": 1.244902694481826
    },
    {
      "epsilon_TV": 0.001,
      "warm": 8058.822342971468,
      "strong_hot": 3.9858530049176424,
      "hot_error_0.1pct": 3.9893017145271585
    },
    {
      "epsilon_TV": 0.0001,
      "warm": 20251.11505354243,
      "strong_hot": 6.730185912070249,
      "hot_error_0.1pct": 6.734295609488757
    },
    {
      "epsilon_TV": 1e-06,
      "warm": 44635.700474777885,
      "strong_hot": 12.218851726412833,
      "hot_error_0.1pct": 17280.886155661698
    }
  ],
  "crossing_times": {
    "TV": 1.7851043718269421,
    "KL": 5.202559675460014
  },
  "lorenz_hot_minus_warm": {
    "initial_min_max": [
      -1.1102230246251565e-16,
      0.020264970363000418
    ],
    "at_time20_min_max": [
      -0.0045639014692869795,
      2.6645352591003757e-15
    ]
  },
  "checks": {
    "maximum_expm_difference": 4.418687638008123e-14,
    "two_state_hot_to_warm_TV_ratio": 1.6461599145377732
  },
  "limitations": [
    "Finite-state model and illustrative barriers; no particle trajectories generated.",
    "Ideal strong root is numerical; perturbation restores the slow tail.",
    "Lorenz comparison checked for the selected distributions, not a theorem about all models."
  ],
  "experimental_data": {
    "distance_rows": 6001,
    "tail_rows": 8,
    "initial_L1_cold_warm_hot": [
      0.15615606,
      0.7587586,
      1.2472471
    ],
    "source": "Kumar and Bechhoefer 2020, Source Data Figs.2/5",
    "scope": "Replot published processed data; no new trajectory-level fit."
  }
}