  Recent work has shown that in a non-thermal, multidimensional system, the
trajectories in the activated complex possess different instantaneous and
time-averaged reactant decay rates. Under dissipative dynamics, it is known
that these trajectories, which are bound on the normally hyperbolic invariant
manifold (NHIM), converge to a single trajectory over time. By subjecting these
dissipative systems to thermal noise, we find fluctuations in the saddle-bound
trajectories and their instantaneous decay rates. Averaging over these
instantaneous rates results in the decay rate of the activated complex in a
thermal system. We find, that the temperature dependence of the activated
complex decay in a thermal system can be linked to the distribution of the
phase space resolved decay rates on the NHIM in the non-dissipative case. By
adjusting the external driving of the reaction, we show that it is possible to
influence how the decay rate of the activated complex changes with rising
temperature.
