  The file is a Chapter from my review volume "Polymer Physics: Phenomenology
of Polymeric Fluid Simulations". The chapter treats literature tests of the
Rouse model, which is widely invoked as a description of polymer motion in
melts. In summary: The literature conclusively demonstrates that the Rouse
model does not describe polymer motion in melts. Simulations find that the
temporal autocorrelation function of a single Rouse amplitude is a stretched
exponential in time, not the pure exponential predicted by the Rouse model.
Also, the mean-square amplitude of the Rouse modes <(X_p (0) X_p (0) > deviates
from the model's prediction, at least for p > 3. Furthermore, the relaxation
time of <(X_p (0) X_p (t) > depends on p, but not as predicted by the Rouse
model. According to the Rouse model, bead displacements are driven by
independent Gaussian random processes. Accordingly, the intermediate structure
factor g(q,t) is predicted to be accurately described by the Gaussian
approximation. Doob's theorem then guarantees that g(q,t) decays as a single
exponential in time. Simulations show that these predictions of the Rouse model
are incorrect.
