54 lines
1.7 KiB
Python
54 lines
1.7 KiB
Python
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"""
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================
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Havriliak-Negami
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================
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Example for Havriliak-Negami distributions
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"""
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from itertools import product
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import matplotlib.pyplot as plt
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import numpy as np
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from nmreval.distributions import HavriliakNegami
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x = np.logspace(-5, 5, num=101)
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hn = HavriliakNegami
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alpha_CC = [0.4, 0.8]
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gamma_CD = [0.3, 0.7]
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fig, axes = plt.subplots(2, 3, constrained_layout=True)
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lines = []
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for a, g in product(alpha_CC, gamma_CD):
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axes[0, 0].plot(np.log10(x), hn.correlation(x, 1, a, g))
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axes[1, 0].plot(np.log10(x), np.log10(hn.specdens(x, 1, a, g)))
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axes[0, 1].plot(np.log10(x), np.log10(hn.susceptibility(x, 1, a, g).real))
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axes[1, 1].plot(np.log10(x), np.log10(hn.susceptibility(x, 1, a, g).imag))
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l, = axes[0, 2].plot(np.log10(x), hn.distribution(x, 1, a, g),
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label=rf'$\alpha={a}, \gamma={g}$')
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lines.append(l)
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fig_titles = ('Correlation function', 'Susceptibility (real)', 'Distribution',
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'Spectral density', 'Susceptibility (imag)')
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fig_xlabel = (r'$\log(t/\tau_\mathrm{HN})$', r'$\log(\omega\tau_\mathrm{HN})$',
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r'$\log(\tau/\tau_\mathrm{HN})$', r'$\log(\omega\tau_\mathrm{HN})$',
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r'$\log(\omega\tau_\mathrm{HN})$')
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fig_ylabel = (r'$C(t)$', r"$\log(\chi'(\omega))$", r'$G(\ln\tau)$',
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r'$\log(J(\omega))$', r"$\log(\chi''(\omega))$")
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for title, xlabel, ylabel, ax in zip(fig_titles, fig_xlabel, fig_ylabel, axes.ravel()):
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ax.set_title(title)
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ax.set_xlabel(xlabel)
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ax.set_ylabel(ylabel)
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labels = [l.get_label() for l in lines]
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leg = fig.legend(lines, labels, loc='center left', bbox_to_anchor=(1.05, 0.50),
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bbox_transform=axes[1, 1].transAxes)
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fig.delaxes(axes[1, 2])
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plt.show()
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