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The simplest model consistent with a Gaussian end-to-end vector distribution
is one in which every bond vector itself is Gaussianly distributed . The probability distribution in configuration space
One may think of this model as a coarse grained model of a polymer, where like in the previous
section, every vector
actually is the sum of
bond vectors, and where
is large enough for
to be Gaussian. Usually
the model is pictured as a chain of N beads connected by springs.
It is a useful exercise to calculate
from Eqs. (3.3) and (3.11).