{
    "generate_dataset_py": {
      "num_spatial_dims": 2,
      "pde": "AllenCahn",
      "ic": "RandomTruncatedFourierSeries",
      "bc": "None",
      "x_domain_extent": 2.5,
      "num_points": 128,
      "dt_save": 0.0001,
      "t_end": 300.0,
      "save_freq": 100,
      "simulations": 10,
      "plotted_sim": 3,
      "plot_sim": "True",
      "stats": "True",
      "seed": 42,
      "nu": [0.01, 0.02],
      "c1": 1.0,
      "c3": -1.0,
      "pde_cmaps": { "AllenCahn": "RdBu" }
    },
  
    "generation_details": {
      "library": "Exponax",
      "library_url": "https://github.com/Ceyron/exponax/tree/main/exponax",
      "spatial_method": "Fourier pseudo-spectral method",
      "dealiasing": "1/2-rule",
      "time_integration": "Exponential time-differencing",
      "variant": "ETDRK2 (second-order Runge-Kutta)"
    },
  
    "stepper_py": {
      "cutoff": 10,
      "include_init": true,
      "scale": 0.5
    },
  
    "exponax_stepper": {
      "first_order_coefficient": -1.0,
      "third_order_coefficient": 1.0,
      "dealiasing_fraction": 0.5,
      "order": 2
    },
  
    "exponax_ic": {
      "description": "This dataset uses the RandomTruncatedFourierSeries class to generate initial conditions.",
      "amplitude_range": [0.0, 1.0],
      "angle_range": [0.0, 6.283185307179586],
      "offset_range": [0.0, 0.0],
      "std_one": true,
      "max_one": false,
      "method": "Initial condition generated by sampling complex Fourier coefficients with random amplitude and phase, truncated using a low-pass filter. A small real offset is added to the zero mode."
    },
  
    "2d_animations": {
      "mode": "physical",
      "duration_sec": 10,
      "fps": 20,
      "dt_output": 1.0
    },
  
    "dataset_global_statistics": {
      "channel_0": {
        "mean": -0.000911,
        "std": 1.443809,
        "min": -7.712518,
        "max": 6.802481
      }
    },

    "generation_metadata": {
      "generation_time": "10.61 seconds",
      "dataset_shape": [20, 1, 4, 128, 128]
    }
}