from config import *
import numpy as np
#--------Paramenters----------
N_collisions = 10
repeats = 10
Number_of_Balls = 100
#--------VDW: a,b-----------
a = []
b = []
P = []
for i in range(repeats):
sim = Simulation(Number_of_Balls)
sim.run(N_collisions)
V = sim.Ball_Volume()
Nb = Number_of_Balls * V #2d ball
constants = (Number_of_Balls * kb *
sim.Temperature()) / (2 * np.pi * con_radius - Nb)
a.append((V * V / Number_of_Balls**2) * (constants - sim.Pressure()))
b.append(2 * np.pi * Max_Radius)
P.append(sim.Pressure())
print("\nNumber of Repeats = ", repeats)
print("\nPressure =", np.mean(P), "+/-", np.std(P), "Pa")
print("Volume of Balls =", V, "m^3")
print("a = ", np.mean(a), "+/-", np.std(a))
print("b = ", np.mean(b), "+/-", np.std(b))
# Thermodynamic Graphs
#----------Parameters-------------
Number_of_Balls = 10 #For P-N plot
N_Collisions = 10
N_Plots = 10 #For P-T plot and P-V plot
Container_Radius = 10
#----------P against N-------------
n_i = np.linspace(1, Number_of_Balls, Number_of_Balls)
pressure = []
pressure_error = []
for i in range(1, Number_of_Balls + 1):
s = Simulation(i)
s.run(N_Collisions)
pressure.append(s.Pressure())
pressure_error.append(s.std_dev())
plt.figure(figsize=(8, 5))
plt.title("Pressure against Number of Balls")
plt.xlabel("Number of Balls")
plt.ylabel("Pressure/ Pa")
plt.plot(n_i, pressure, 'x', color='C1')
plt.plot(np.unique(n_i),
np.poly1d(np.polyfit(n_i, pressure, 1))(np.unique(n_i)),
color='C0')
plt.errorbar(n_i,
pressure,
yerr=pressure_error,
fmt='x',
mew=1,
plt.xlabel("Velocity /$ms^-1$")
plt.ylabel("Density")
n, bins, patches = plt.hist(data, bins=50, normed=True)
y = mlab.normpdf(bins, mu, sigma)
l = plt.plot(bins, y, label='Experimental')
print("\nuncertainty", sigma, "variance", sigma * sigma, "mean", mu)
#---------Theoretical Maxwell Boltzmann Curve----------
def Maxwell_Boltzmann(x): #2D
# print(sim.Temperature())
A = (ball_mass / (kb * sim.Temperature()))
exponent = (-x * x * ball_mass) / (2 * kb * sim.Temperature())
y = A * (x) * np.exp(exponent)
return y
x_value = bins
y_value = Maxwell_Boltzmann(x_value)
plt.plot(x_value, y_value, 'r--', linewidth=2, label='Theoretical')
plt.savefig("FIG_Maxwell_Boltzmann")
plt.legend()
plt.show()
print("Real Temperature:", sim.Temperature())
print("Real Pressure:", sim.Pressure(), "\nIdeal Pressure:",
sim.Pressure_Ideal(),
"\n as Particle Size decreases, Real Pressure tend to Ideal Pressure")
