  This work constructs a rovibrational state-to-state model for the
$\text{O}_2$+$\text{O}_2$ system leveraging high-fidelity potential energy
surfaces and quasi-classical trajectory calculations. The model is used to
investigate internal energy transfer and non-equilibrium reactive processes in
dissociating environment using a master equation approach, whereby the kinetics
of each internal rovibrational state is explicitly computed. To cope with the
exponentially large number of elementary processes that characterize reactive
bimolecular collisions, the internal states of the collision partner are
assumed to follow a Boltzmann distribution at a prescribed internal
temperature. This procedure makes the problem tractable, reducing the
computational cost to a comparable scale with the $\text{O}_2$+O system. The
constructed rovibrational-specific kinetic database covers the temperature
range of 7500-20000 K. The analysis of the energy transfer and dissociation
process in isochoric and isothermal conditions reveals that significant
departures from the equilibrium Boltzmann distribution occur during the energy
transfer and dissociation phase. Comparing the population distribution of the
$\text{O}_2$ molecules against the $\text{O}_2$+O demonstrates a more
significant extent of non-equilibrium characterized by a more diffuse
distribution whereby the vibrational strands are more clearly identifiable.
This is partly due to a less efficient mixing of the rovibrational states,
which results in more diffuse rovibrational distributions in the
quasi-steady-state distribution. The master equation analysis for the combined
$\text{O}_3$+$\text{O}_4$ system reveals that the $\text{O}_2$+$\text{O}_2$
governs the early stage of energy transfer, while the $\text{O}_2$+O takes
control of the dissociation dynamics. The findings will provide strong physical
foundations for future development of oxygen chemistry.
