We
present a detailed comparison of two high-fidelity approaches
for simulating non-equilibrium chemical processes in gases: the state-to-state
master equation (StS-ME) and the direct molecular simulation (DMS)
methods. The former is a deterministic method, which relies on the
pre-computed kinetic database for the N2–N system
based on the NASA Ames ab initio potential energy
surface (PES) to describe the evolution of the molecules’ internal
energy states through a system of master equations. The latter is
a stochastic interpretation of molecular dynamics relying exclusively
on the same ab initio PES. It directly tracks the
microscopic gas state through a particle ensemble undergoing a sequence
of collisions. We study a mixture of nitrogen molecules and atoms
forced into strong thermochemical non-equilibrium by sudden exposure
of rovibrationally cold gas to a high-temperature heat bath. We observe
excellent agreement between the DMS and StS-ME predictions for the
transfer rates of translational into rotational and vibrational energy,
as well as of dissociation rates across a wide range of temperatures.
Both methods agree down to the microscopic scale, where they predict
the same non-Boltzmann population distributions during quasi-steady-state
dissociation. Beyond establishing the equivalence of both methods,
this cross-validation helped in reinterpreting the NASA Ames kinetic
database and resolve discrepancies observed in prior studies. The
close agreement found between the StS-ME and DMS methods, whose sole
model inputs are the PESs, lends confidence to their use as benchmark
tools for studying high-temperature air chemistry.