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# Usetex Demo

    import matplotlib
    matplotlib.rc('text', usetex=True)
    import matplotlib.pyplot as plt
    import numpy as np

    # interface tracking profiles
    N = 500
    delta = 0.6
    X = np.linspace(-1, 1, N)
    plt.plot(X, (1 - np.tanh(4 * X / delta)) / 2,    # phase field tanh profiles
             X, (X + 1) / 2,                         # level set distance function
             X, (1.4 + np.tanh(4 * X / delta)) / 4,  # composition profile
             X, X < 0, 'k--')                        # sharp interface

    # legend
    plt.legend(('phase field', 'level set', 'composition', 'sharp interface'),
               shadow=True, loc=(0.01, 0.55))

    ltext = plt.gca().get_legend().get_texts()
    plt.setp(ltext[0], fontsize=20)
    plt.setp(ltext[1], fontsize=20)
    plt.setp(ltext[2], fontsize=20)
    plt.setp(ltext[3], fontsize=20)

    # the arrow
    height = 0.1
    offset = 0.02
    plt.plot((-delta / 2., delta / 2), (height, height), 'k', linewidth=2)
    plt.plot((-delta / 2, -delta / 2 + offset * 2), (height, height - offset),
             'k', linewidth=2)
    plt.plot((-delta / 2, -delta / 2 + offset * 2), (height, height + offset),
             'k', linewidth=2)
    plt.plot((delta / 2, delta / 2 - offset * 2), (height, height - offset),
             'k', linewidth=2)
    plt.plot((delta / 2, delta / 2 - offset * 2), (height, height + offset),
             'k', linewidth=2)
    plt.text(-0.06, height - 0.06, r'$\delta$', {'color': 'k', 'fontsize': 24})

    # X-axis label
    plt.xticks((-1, 0, 1), ('-1', '0', '1'), color='k', size=20)

    # Left Y-axis labels
    plt.ylabel(r'\bf{phase field} $\phi$', {'color': 'b', 'fontsize': 20})
    plt.yticks((0, 0.5, 1), ('0', '.5', '1'), color='k', size=20)

    # Right Y-axis labels
    plt.text(1.05, 0.5, r"\bf{level set} $\phi$", {'color': 'g', 'fontsize': 20},
             horizontalalignment='left',
             verticalalignment='center',
             rotation=90,
             clip_on=False)
    plt.text(1.01, -0.02, "-1", {'color': 'k', 'fontsize': 20})
    plt.text(1.01, 0.98, "1", {'color': 'k', 'fontsize': 20})
    plt.text(1.01, 0.48, "0", {'color': 'k', 'fontsize': 20})

    # level set equations
    plt.text(0.1, 0.85,
             r'$|\nabla\phi| = 1,$ \newline $ \frac{\partial \phi}{\partial t}'
             r'+ U|\nabla \phi| = 0$',
             {'color': 'g', 'fontsize': 20})

    # phase field equations
    plt.text(0.2, 0.15,
             r'$\mathcal{F} = \int f\left( \phi, c \right) dV,$ \newline '
             r'$ \frac{ \partial \phi } { \partial t } = -M_{ \phi } '
             r'\frac{ \delta \mathcal{F} } { \delta \phi }$',
             {'color': 'b', 'fontsize': 20})

    # these went wrong in pdf in a previous version
    plt.text(-.9, .42, r'gamma: $\gamma$', {'color': 'r', 'fontsize': 20})
    plt.text(-.9, .36, r'Omega: $\Omega$', {'color': 'b', 'fontsize': 20})

    plt.show()

Total running time of the script: ( 0 minutes 0.039 seconds)

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