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Copy pathSpace_charge_for_4_particles.py
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Space_charge_for_4_particles.py
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import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import scipy.constants as const
Q = [-const.e, -const.e, -const.e, -const.e]
m = const.m_e
k = 9 * 10**9
N = 4
tmax = 7
dt = 0.1
def accel():
x = [0, 2, 0, -2]
y = [2, 0, -2, 0]
z = [1, 1, 1, 1]
ax, ay, az = [0] * N, [0] * N, [0] * N
for i in range(N):
for j in range(N):
if i != j:
FxC, FyC, FzC = [0] * N, [0] * N, [0] * N
r = np.sqrt((x[i] - x[j]) ** 2 + (y[i] - y[j]) ** 2)
FxC[i] += (k * Q[i] * Q[j]) * (x[i] - x[j]) / (r ** 3)
FyC[i] += (k * Q[i] * Q[j]) * (y[i] - y[j]) / (r ** 3)
FzC[i] += 0
ax[i] += FxC[i] / m
ay[i] += FyC[i] / m
az[i] += FzC[i] / m
# ax[i] += (k * Q[i] * Q[j]) * (x[i] - x[j]) / (r**3 * m)
# ay[i] += (k * Q[i] * Q[j]) * (y[i] - y[j]) / (r**3 * m)
# az[i] = 0
return ax, ay, az
def pos_and_vel():
t = 0
vx = [0, 0, 0, 0]
vy = [0, 0, 0, 0]
vz = [50, 50, 50, 50]
x = [0, 2, 0, -2]
y = [2, 0, -2, 0]
z = [1, 1, 1, 1]
x_data = open(r'data/x_data.txt', 'w')
y_data = open(r'data/y_data.txt', 'w')
z_data = open(r'data/z_data.txt', 'w')
vx_data = open(r'data/vx.txt', 'w')
vy_data = open(r'data/vy.txt', 'w')
vz_data = open(r'data/vz.txt', 'w')
np.savetxt(x_data, np.array([x]))
np.savetxt(y_data, np.array([y]))
np.savetxt(z_data, np.array([z]))
np.savetxt(vx_data, np.array([vx]))
np.savetxt(vy_data, np.array([vy]))
np.savetxt(vz_data, np.array([vz]))
while(t <= tmax):
for i in range(N):
a0x, a0y, a0z = accel()
vx[i] += a0x[i] * dt
vy[i] += a0y[i] * dt
vz[i] += a0z[i] * dt
x[i] += vx[i] * dt
y[i] += vy[i] * dt
z[i] += vz[i] * dt
np.savetxt(x_data, np.array([x]))
np.savetxt(y_data, np.array([y]))
np.savetxt(z_data, np.array([z]))
np.savetxt(vx_data, np.array([vx]))
np.savetxt(vy_data, np.array([vy]))
np.savetxt(vz_data, np.array([vz]))
t += dt
x_data.close()
y_data.close()
z_data.close()
vx_data.close()
vy_data.close()
vz_data.close()
def plot():
x = pd.read_csv(r'data/x_data.txt', header = None, sep =' ')
y = pd.read_csv(r'data/y_data.txt', header = None, sep =' ')
z = pd.read_csv(r'data/z_data.txt', header = None, sep =' ')
x = np.array(x)
y = np.array(y)
z = np.array(z)
fig = plt.figure()
ax = fig.add_subplot(projection = '3d') # elev = 90, azim = -90
ax.scatter(x, y, z)
ax.set_xlabel("x", fontsize = 16)
ax.set_ylabel("y", fontsize = 16)
ax.set_zlabel("z", fontsize = 16)
ax.set_xlim(-35, 35)
ax.set_ylim(-35, 35)
ax.set_title("Space charge effect", fontweight = 'bold', fontsize = 16)
plt.show()
def animating_data(skip = 1, dt = 0.05):
x = pd.read_csv(r'data/x_data.txt', header=None, sep=' ')
y = pd.read_csv(r'data/y_data.txt', header=None, sep=' ')
z = pd.read_csv(r'data/z_data.txt', header=None, sep=' ')
x = np.array(x)
y = np.array(y)
z = np.array(z)
line, _ = np.shape(x)
time = np.linspace(0, dt * (line - 1), line)
fig = plt.figure()
ax = fig.add_subplot(projection='3d') ## azim = 90, elev = 90
for frames, t in enumerate(time[::skip]):
fs = frames * skip
ax.clear()
ax.scatter(x[fs], y[fs], z[fs], marker = 'o')
ax.set_xlabel("x", fontsize = 16)
ax.set_ylabel("y", fontsize = 16)
ax.set_zlabel("z", fontsize = 16)
ax.set_xlim(-1600, 1600)
ax.set_ylim(-1600, 1600)
ax.set_zlim(0, 400)
ax.set_title("Space charge effect", fontweight = 'bold', fontsize = 16)
plt.pause(0.000001)
plt.show()
pos_and_vel()
# plot()
animating_data()