We study the impact of stochastic mechanisms on a coupled hybrid system consisting of a general
advection-diffusion-reaction partial differential equation and a spatially distributed
stochastic lattice noise model. The stochastic dynamics include both spin-flip and spin-exchange
type interparticle interactions. Furthermore, we consider a new, asymmetric, single exclusion pro-
cess, studied elsewhere in the context of traffic flow modeling, with an one-sided interaction potential
which imposes advective trends on the stochastic dynamics. This look-ahead stochastic mechanism
is responsible for rich nonlinear behavior in solutions. Our approach relies heavily on first deriving
approximate differential mesoscopic equations. These approximations become exact either in the
long range, Kac interaction partial differential equation case, or, given sufficient time separation con-
ditions, between the partial differential equation and the stochastic model giving rise to a stochastic
averaging partial differential equation. Although these approximations can in some cases be crude,
they can still give a first indication, via linearized stability analysis, of the interesting regimes for the
stochastic model. Motivated by this linearized stability analysis we choose particular regimes where
interacting nonlinear stochastic waves are responsible for phenomena such as random switching,
convective instability, and metastability, all driven by stochasticity. Numerical kinetic Monte Carlo
simulations of the coarse grained hybrid system are implemented to assist in producing solutions and
understanding their behavior.