update RubberBand to add biasing feature

This commit is contained in:
Pim Nelissen
2025-10-27 15:40:31 +01:00
parent ef95114fe8
commit 11ae29dea8

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@ -4,39 +4,48 @@ from Link import Link
class RubberBand:
# class attributes
k_B = 1
def __init__(self, N, a=1., T=1.):
def __init__(self, N, a=1., kBT=1., biased=False, force=0.):
"""
RubberBand is a class that can simulate a rubber band with N
incompressible links of length a.
Parameters:
N (int) The number of links.
a (float) The fixed length of links.
T (float) Temperature of the system.
Parameters
----------
N : int
The number of links.
a : float, optional
The fixed length of the links. The default is 1..
kBT : float, optional
Temperature of the system (arb. units). The default is 1..
force : float, optional
Force applied to the RubberBand.
The default is 0, which is an unbiased RubberBand.
"""
self.N = N
self.a = a
self.T = T
self.links = self.__sample_links()
self.kBT = kBT
self.links = self.__sample_links(force=force)
def w(self, f, l):
beta = (self.k_B*self.T)**(-1)
beta = (self.kBT)**(-1)
return np.exp(beta*f*l)
@property
def length(self):
return self.a * np.sum([l.direction for l in self.links])
def __sample_links(self):
def __sample_links(self, force):
"""
Sample N Link objects with a random direction.
"""
samples = np.random.random_sample((self.N,))
directions = np.ones(samples.shape)
directions[samples < 0.5] = -1.
p_negative = 1 - 0.5*(1 + np.tanh(force*self.a/self.kBT))
directions[samples < p_negative] = -1.
directions = directions.astype(int)
return [Link(d) for d in directions]