.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples_gallery/output/logarithmic_kymograph.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_gallery_output_logarithmic_kymograph.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_gallery_output_logarithmic_kymograph.py:


Logarithmic kymograph
=====================

This example demonstrates a space-time plot with a logarithmic time axis (using
:func:`utilitiez.densityplot`), which is useful to analyze coarsening processes.

.. GENERATED FROM PYTHON SOURCE LINES 8-29



.. image-sg:: /examples_gallery/output/images/sphx_glr_logarithmic_kymograph_001.png
   :alt: logarithmic kymograph
   :srcset: /examples_gallery/output/images/sphx_glr_logarithmic_kymograph_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    from utilitiez import densityplot

    import pde

    # define grid, initial field, and the PDE
    grid = pde.UnitGrid([128])
    field = pde.ScalarField.random_uniform(grid, -0.1, 0.1)
    eq = pde.CahnHilliardPDE(interface_width=2)

    # run the simulation and store data in logarithmically spaced time intervals
    storage = pde.MemoryStorage()
    res = eq.solve(
        field, t_range=1e5, adaptive=True, tracker=[storage.tracker("geometric(10, 1.1)")]
    )

    # create the density plot, which detects the logarithmically scaled time
    densityplot(storage.data, storage.times, grid.axes_coords[0])
    plt.xlabel("Time")
    plt.ylabel("Space")


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 6.162 seconds)


.. _sphx_glr_download_examples_gallery_output_logarithmic_kymograph.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: logarithmic_kymograph.ipynb <logarithmic_kymograph.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: logarithmic_kymograph.py <logarithmic_kymograph.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: logarithmic_kymograph.zip <logarithmic_kymograph.zip>`