MultiPointCalculation

MultiPoint calculation for block copolymers.

The file with the same name except for different extensions (.py vs .ipynb) stand for the same code. The documentations is in the ipynb while you can import the .py file.

MultiPoint

This does the 2,3, and 4 point intigrals over propagators. See Example.ipynb for how to use. This imports special.py which are just some usefull functions.

WLCgreen

This calculates the eigenvalues, residue, and the like for the worm like chain propagator.

propagator

This is a simple class structure to keep track of propagators.

from scatter import *

Example 1: Structure factor of semiflexible polymer

N=10 # number of Kuhn steps per chain
KV = np.logspace(-1,2,100) # wavevector in unit of 1/(Kuhn step)

S = scatter_pol(KV, N)

plt.figure(figsize=(6,4.5))
plt.title('N='+str(N))
plt.loglog(KV, S, label='$I_{2}$')
plt.show()

Example 2: Scattering of polymer melt

N=10 # number of Kuhn steps per chain
KV = np.logspace(-1,2,100) # wavevector in unit of 1/(Kuhn step)

FA=0.5 # fraction of A-type segment
CHI = 0 # Flory-Huggins parameter between A-B monomers

S = scatter_copol(KV, N, FA, CHI)

plt.figure(figsize=(6,4.5))
plt.loglog(KV, S, label='$I_{2}$')
plt.show()

Example 3: Scattering of copolymer solutions

N=10
FA=0.4
CHIAB, CHIAS, CHIBS = 0, 0, 0
PHIP = 0.2

KV = np.logspace(-1,3,100)
S = scatter_sol(KV, N, FA, PHIP, CHIAB, CHIAS, CHIBS)

plt.loglog(KV, 1./(N*S)/PHIP)
plt.ylabel('S/N')
plt.xlabel('2$l_p$q')
plt.show()