.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "api/gallery/statphys/interactive/plot_interactive_dashboards.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

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

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

.. _sphx_glr_api_gallery_statphys_interactive_plot_interactive_dashboards.py:


Interactive Plotly visualizations
======================================

Every other visualizer in physicskit.statphys is Matplotlib-based: static, ideal for
publication figures and this documentation's gallery.
:mod:`physicskit.statphys.visualizers.interactive` renders the same information as
pan/zoom/hover-enabled Plotly figures instead, convenient for
interactively exploring a parameter sweep or a dense vector field in a
Jupyter notebook. This example builds one such figure for each of three
lattice/particle models used throughout this gallery -- the 2D Ising
ferromagnet, the 2D XY model, and a Lennard-Jones gas -- and saves each as
a standalone HTML file.

.. GENERATED FROM PYTHON SOURCE LINES 15-26

.. code-block:: Python


    import numpy as np

    from physicskit.statphys.chapters.ising_lattice import Ising2D, XYModel2D
    from physicskit.statphys.chapters.molecular_dynamics import LennardJonesGas
    from physicskit.statphys.visualizers.interactive import (
        interactive_particle_snapshot,
        interactive_temperature_sweep,
        interactive_vortex_field,
    )








.. GENERATED FROM PYTHON SOURCE LINES 27-34

An interactive temperature sweep
------------------------------------
The 2D Ising ferromagnet, :math:`H = -J \sum_{\langle i,j \rangle} s_i
s_j` with :math:`s_i = \pm 1` on a periodic :math:`L \times L` lattice, is
swept in temperature across its critical point :math:`T_C` with the
Wolff cluster algorithm; the resulting figure lets you hover over the
energy, order parameter, specific heat, and susceptibility curves.

.. GENERATED FROM PYTHON SOURCE LINES 34-40

.. code-block:: Python

    model = Ising2D(L=20, seed=0)
    temperatures = np.linspace(model.T_C - 1.0, model.T_C + 1.0, 10)
    result = model.run_temperature_sweep(temperatures, n_equil=100, n_measure=150, algorithm="wolff")
    fig = interactive_temperature_sweep(result, T_c=model.T_C)
    fig.write_html("ising_sweep_interactive.html")








.. GENERATED FROM PYTHON SOURCE LINES 41-49

An interactive vortex field
------------------------------------
The 2D XY model, :math:`H = -J \sum_{\langle i,j \rangle}
\cos(\theta_i - \theta_j)` with continuous planar spin angles
:math:`\theta_i`, is equilibrated exactly at its Kosterlitz-Thouless
transition temperature :math:`T_{\text{KT}}`, where bound
vortex-antivortex pairs are just beginning to unbind; the interactive
field lets you pan and zoom into individual vortex cores.

.. GENERATED FROM PYTHON SOURCE LINES 49-54

.. code-block:: Python

    xy_model = XYModel2D(L=20, seed=1)
    xy_model.sweep(beta=1.0 / xy_model.T_KT, n_sweeps=300)
    fig = interactive_vortex_field(xy_model.theta)
    fig.write_html("xy_vortices_interactive.html")








.. GENERATED FROM PYTHON SOURCE LINES 55-62

An interactive particle snapshot
------------------------------------
A 2D gas of :math:`N=100` particles interacting through the
Lennard-Jones potential :math:`V(r) = 4\epsilon[(\sigma/r)^{12} -
(\sigma/r)^{6}]` is integrated forward in a periodic box; the
interactive scatter plot colors each particle by its instantaneous
speed, hoverable per-particle.

.. GENERATED FROM PYTHON SOURCE LINES 62-68

.. code-block:: Python

    gas = LennardJonesGas(n_particles=100, box_size=15.0, seed=2)
    gas.step(n_steps=500)
    fig = interactive_particle_snapshot(gas)
    fig.write_html("lj_gas_interactive.html")

    print("Wrote 3 standalone interactive HTML files.")




.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    Wrote 3 standalone interactive HTML files.





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

   **Total running time of the script:** (0 minutes 0.093 seconds)


.. _sphx_glr_download_api_gallery_statphys_interactive_plot_interactive_dashboards.py:

.. only:: html

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

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

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

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

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

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

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


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_