  We study the nonequilibrium interaction of two isotropic chemically-active
particles taking into account the exact near-field chemical interactions as
well as hydrodynamic interactions. We identify regions in the parameter space
wherein the dynamical system describing the two particles can have a
fixed-point---a phenomenon that cannot be captured under the far-field
approximation. We find that due to near-field effects, the particles may reach
a stable equilibrium at a nonzero gap size, or make a complex that can
dissociate in the presence of sufficiently strong noise. We explicitly show
that the near-field effects are originated from a self-generated
neighbor-reflected chemical gradient, similar to interactions of a
self-propelling phoretic particle and a flat substrate.
