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24 lines
558 B
Python
24 lines
558 B
Python
import numpy as np
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import scipy as scp
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from matplotlib import pyplot as plt
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from RubberBand import RubberBand
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NUM_BANDS = int(1E5)
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N = 100
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length_dist = np.zeros((NUM_BANDS,))
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for i in range(NUM_BANDS):
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band = RubberBand(N, a=1)
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length_dist[i] = band.length/band.a
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P_true = lambda N, L: scp.special.binom(N, (L+N)/2) / 2**N
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L_norm = np.linspace(-N, N, 100) # normalised (no Link length a) range
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plt.plot(L_norm, P_true(N, L_norm))
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plt.hist(length_dist, range=(-N, N), bins=N, density=True)
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plt.xlabel("$L/a$")
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plt.ylabel("P($L/a$)")
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plt.show()
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