K. Fukui et al., Large-scale normal coordinate analysis of macromolecular systems: Thermal properties of polymer particles and crystals, J PHYS CH B, 104(3), 2000, pp. 526-531
Using novel modifications to a sparse matrix solver (ARPACK), a complete sp
ectral analysis has been achieved for a 6000 atom polymer system involving
all 18 000 degrees of freedom. A comparison of the thermal properties and s
pectra of an annealed polymer particle and crystal is presented, The densit
y of stales spectrum g(omega) shows a higher number of low-frequency modes
for the polymer particle, which results in a higher heat capacity at low te
mperature. The distribution of energy level spacing shows some resemblance
to that exhibited by random matrices. Finally. the displacement of low-freq
uency eigenvectors is: shown to have a larger amplitude on the surface than
in the interior of either the particle or crystal.