49 lines
1.3 KiB
Python
49 lines
1.3 KiB
Python
#!/usr/bin env python3
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from formulary import *
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# recreating a plot from adv. sc physics ex7/2
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# showing different scattering mechanisms
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def fionized(T):
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return 10**4 * T**(3/2)
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@np.vectorize
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def fpolar_optic(T, TDebye):
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return np.exp(TDebye/T) if T < TDebye else np.nan
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def fpiezoelectric(T):
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return 0.8 * 10**7 * T**(-1/2)
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def facoustic(T):
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return 10**9 * T**(-3/2)
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def scattering():
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fig, ax = plt.subplots(1, 1, figsize=size_formula_normal_default)
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Ts = np.power(10, np.linspace(0, 3, 100))
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TDebye = 10**3
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mu_ionized = fionized(Ts)
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mu_polar_optic = fpolar_optic(Ts, TDebye)
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mu_piezoelectric = fpiezoelectric(Ts)
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mu_acoustic = facoustic(Ts)
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mu_sum = 1/(1/mu_ionized + 1/mu_polar_optic + 1/mu_piezoelectric + 1/mu_acoustic)
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ax.plot(Ts, mu_ionized, label="Ionized")
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ax.plot(Ts, mu_polar_optic, label="Polar-optic")
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ax.plot(Ts, mu_piezoelectric, label="Piezoelectric")
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ax.plot(Ts, mu_acoustic, label="Acoustic")
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ax.plot(Ts, mu_sum, label="Total", color="black", linestyle="dashed")
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ax.set_xscale("log")
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ax.set_yscale("log")
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ax.set_xlabel("$T$")
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ax.set_ylabel("$\\mu$")
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ax.legend()
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ax.set_ylim(1e4, 1e7)
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return fig
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if __name__ == '__main__':
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export(scattering(), "cm_scattering")
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