We use molecular dynamics to calculate
the rotational and vibrational
energy relaxation of C2H6 in Ar, Kr, and Xe
bath gases over a pressure range of 10–400 atm and at temperatures
of 300 and 800 K. The C2H6 is instantaneously
excited by 80 kcal/mol randomly distributed into both vibrational
and rotational modes. The computed relaxation rates show little sensitivity
to the identity of the noble gas in the bath. Vibrational relaxation
rates show a nonlinear pressure dependence at 300 K. At 800 K the
reduced range of bath gas densities covered by the range of pressures
does not yet show any nonlinearity in the pressure dependence. Rotational
relaxation is characterized with two relaxation rates. The slower
rate is comparable to the vibrational relaxation rate. The faster
rate has a linear pressure dependence at 300 K but an irregular, nonlinear
pressure dependence at 800 K. To understand this, a model was developed
based on approximating the periodic box used in the molecular dynamics
simulations by an equal-volume collection of cubes where each cube
is sized to allow only single occupancy by the noble gas or the molecule.
Combinatorial statistics then leads to a pressure- and temperature-dependent
analytic distribution of the bath gas species the molecule encounters
in a collision. This distribution, the dissociation energy of molecule/bath
gas complexes and bath gas clusters, and the computed energy release
per collision combine to show that only at 300 K is the energy release
sufficient to dissociate likely complexes and clusters. This suggests
that persistent and pressure-dependent clusters and complexes at 800
K may be responsible for the nonlinear pressure dependence of rotational
relaxation.