S. Kammerer et al., DYNAMICS OF THE ROTATIONAL DEGREES OF FREEDOM IN A SUPERCOOLED LIQUIDOF DIATOMIC-MOLECULES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 5450-5461
Using molecular-dynamics computer simulations, we investigate the dyna
mics of the rotational degrees of freedom in a supercooled system comp
osed of rigid, diatomic molecules. The interaction between the molecul
es is given by the sum of interaction-site potentials of the Lennard-J
ones type. In agreement with mode-coupling theory (MCT), we find that
the relaxation times of the orientational time correlation functions C
-1((s))(t), C-2((s))(t), and C-1(t) show at low temperatures a power l
aw with the same critical temperature T-c, which is also identical to
the critical temperature for the translational degrees of freedom. In
contrast to MCT, we find, however, that for these cor-relators the tim
e-temperature superposition principle does not hold well and also the
critical exponent gamma depends on the correlator. For C-1((s)) with l
= 3,...,6 this principle does hold. We also study the temperature dep
endence of the rotational diffusion constant D-r and demonstrate that
at high temperatures D-r is proportional to the translational diffusio
n constant D and when the system starts to become supercooled the form
er shows an Arrhenius behavior, whereas the latter exhibits a power-la
w dependence. We discuss the origin for the difference in the temperat
ure dependence of D (or the relaxation times of C-1((s))) and D-r. Fin
ally, we present results that show that at low temperatures 180 degree
s flips of the molecule art an important component of the relaxation d
ynamics for the orientational degrees of freedom.