Develop #14
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latex/main.pdf
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latex/main.pdf
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@ -1,5 +1,19 @@
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import matplotlib.pyplot as plt
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import numpy as np
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import seaborn as sns
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sns.set_theme()
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params = {
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"font.family": "Serif",
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"font.serif": "Roman",
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"text.usetex": True,
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"axes.titlesize": "large",
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"axes.labelsize": "large",
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"xtick.labelsize": "large",
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"ytick.labelsize": "large",
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"legend.fontsize": "medium"
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}
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plt.rcParams.update(params)
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def main():
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files = [
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@ -29,10 +43,10 @@ def main():
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plt.xlabel(r"x $(\mu m)$")
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plt.ylabel(r"y $(\mu m)$")
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plt.title(r"2 particles with and without interactions.")
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# plt.legend()
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# plt.show()
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plt.savefig("../latex/images/plot_2_particles_xy.pdf")
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# plt.title(r"2 particles with and without interactions.")
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plt.legend(loc="upper right")
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plt.savefig("../latex/images/plot_2_particles_xy.pdf", bbox_inches="tight")
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plt.show()
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if __name__ == "__main__":
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@ -1,5 +1,19 @@
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import matplotlib.pyplot as plt
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import numpy as np
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import seaborn as sns
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sns.set_theme()
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params = {
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"font.family": "Serif",
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"font.serif": "Roman",
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"text.usetex": True,
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"axes.titlesize": "large",
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"axes.labelsize": "large",
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"xtick.labelsize": "large",
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"ytick.labelsize": "large",
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"legend.fontsize": "medium"
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}
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plt.rcParams.update(params)
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def main():
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files = [
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@ -1,6 +1,28 @@
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import matplotlib.pyplot as plt
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import seaborn as sns
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sns.set_theme()
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params = {
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"font.family": "Serif",
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"font.serif": "Roman",
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"text.usetex": True,
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"axes.titlesize": "large",
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"axes.labelsize": "large",
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"xtick.labelsize": "large",
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"ytick.labelsize": "large",
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"legend.fontsize": "medium"
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}
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plt.rcParams.update(params)
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def main():
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colors = [
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"lightskyblue",
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"deepskyblue",
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"salmon",
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"tomato",
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"mediumaquamarine",
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"mediumseagreen"
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]
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with open("output/time_dependent_potential/res.txt") as f:
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lines = f.readlines()
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x = []
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@ -14,17 +36,22 @@ def main():
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y2.append(float(l[2]))
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y3.append(float(l[3]))
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plt.plot(x,y1,label=f"amplitude: 0.1")
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plt.plot(x,y2,label=f"amplitude: 0.4")
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plt.plot(x,y3,label=f"amplitude: 0.7")
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fig, ax = plt.subplots()
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ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0])
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ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2])
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ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4])
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ax.set_xlabel(r"Frequency $\omega_V$ (MHz)")
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ax.set_xlim((0, 2.8))
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ax.set_ylabel(r"Fraction of particles left")
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ax.set_ylim((-0.1, 1.1))
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# plt.title(r"The fraction of particles left in the Penning trap "
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# "after 500 microseconds for different amplitudes and frequencies")
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ax.legend(loc="upper right")
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plt.xlabel(r"$\omega_V$ (MHz)")
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plt.ylabel(r"Fraction of particles left")
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plt.title(r"The fraction of particles left in the Penning trap "
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"after 500 microseconds for different amplitudes and frequencies")
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plt.legend()
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# plt.show()
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plt.savefig("../latex/images/particles_left.pdf")
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fig.savefig("../latex/images/particles_left.pdf", bbox_inches="tight")
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if __name__ == "__main__":
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main()
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@ -1,5 +1,19 @@
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import matplotlib.pyplot as plt
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import numpy as np
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import seaborn as sns
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sns.set_theme()
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params = {
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"font.family": "Serif",
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"font.serif": "Roman",
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"text.usetex": True,
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"axes.titlesize": "large",
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"axes.labelsize": "large",
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"xtick.labelsize": "large",
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"ytick.labelsize": "large",
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"legend.fontsize": "medium"
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}
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plt.rcParams.update(params)
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def main():
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directories = {
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@ -44,9 +58,9 @@ def main():
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axs1[i].legend()
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axs1[i].set_title(title)
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# plt.show()
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fig1.savefig("../latex/images/phase_space_2_particles_x.pdf")
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fig2.savefig("../latex/images/phase_space_2_particles_z.pdf")
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plt.show()
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if __name__ == "__main__":
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@ -1,5 +1,19 @@
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import matplotlib.pyplot as plt
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import numpy as np
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import seaborn as sns
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sns.set_theme()
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params = {
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"font.family": "Serif",
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"font.serif": "Roman",
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"text.usetex": True,
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"axes.titlesize": "large",
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"axes.labelsize": "large",
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"xtick.labelsize": "large",
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"ytick.labelsize": "large",
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"legend.fontsize": "medium"
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}
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plt.rcParams.update(params)
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def main():
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directories = {
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@ -22,7 +36,7 @@ def main():
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"Relative error for the RK4 method",
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"Relative error for the forward Euler method"
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]
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fig1, axs1 = plt.subplots(2,1)
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fig1, axs1 = plt.subplots(2,1, sharex=True)
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for i, (dir, title) in enumerate(zip(directories, titles)):
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max_err = []
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for label, file in zip(labels, files):
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@ -33,17 +47,17 @@ def main():
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max_err.append(max(r))
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axs1[i].plot(t, r, label=label)
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axs1[i].set(xlabel=r"t $(\mu s)$", ylabel = r"relative_error $(\mu m)$")
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axs1[i].set(ylabel = r"relative_error $(\mu m)$") # xlabel=r"t $(\mu s)$",
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axs1[1].set_xlabel(r"t $(\mu s)$")
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axs1[i].legend()
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axs1[i].set_title(title)
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# axs1[i].set_title(title)
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conv_rate = 1/3 * sum([np.log10(max_err[i+1]/max_err[i])/np.log10(.5) for i in range(3)])
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print(conv_rate)
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plt.show()
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# fig1.savefig("../latex/images/phase_space_2_particles_x.pdf")
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plt.show()
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if __name__ == "__main__":
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@ -1,5 +1,19 @@
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import matplotlib.pyplot as plt
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import numpy as np
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import seaborn as sns
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sns.set_theme()
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params = {
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"font.family": "Serif",
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"font.serif": "Roman",
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"text.usetex": True,
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"axes.titlesize": "large",
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"axes.labelsize": "large",
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"xtick.labelsize": "large",
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"ytick.labelsize": "large",
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"legend.fontsize": "medium"
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}
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plt.rcParams.update(params)
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def z(t):
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V_0 = 25.*9.64852558 * 10**4
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@ -9,6 +23,14 @@ def z(t):
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return 20.*np.cos(w_z*t)
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def main():
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colors = [
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"lightskyblue",
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"deepskyblue",
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"salmon",
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"tomato",
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"mediumaquamarine",
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"mediumseagreen"
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]
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filename = "output/simulate_single_particle/particle_0_r.txt"
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r = t = []
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with open(filename) as f:
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@ -16,14 +38,17 @@ def main():
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t = np.linspace(0, 50, len(lines))
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r = np.array([list(map(float, line.strip().split(","))) for line in lines])
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plt.plot(t, r[:, 2], label="approximation")
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plt.plot(t, z(t), label="analytical")
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plt.xlabel(r"time $(\mu s)$")
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plt.ylabel(r"z $(\mu m)$")
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plt.title(r"Movement of a single particle in the x direction")
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plt.legend()
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# plt.savefig("../latex/images/single_particle.pdf")
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plt.show()
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fig, ax = plt.subplots()
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ax.plot(t, r[:, 2], label="approximation", color=colors[3])
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ax.plot(t, z(t), label="analytical", color=colors[5], linestyle="dotted")
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ax.set_xlabel(r"Time $(\mu s)$")
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ax.set_xlim((-5, 55))
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ax.set_ylabel(r"z $(\mu m)$")
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ax.set_ylim((-25, 25))
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# plt.title(r"Movement of a single particle in the x direction")
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ax.legend(loc="upper right")
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fig.savefig("../latex/images/single_particle.pdf", bbox_inches="tight")
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# plt.show()
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if __name__ == "__main__":
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