The main aim of this work is to establish an averaging principle for a wide
class of interacting particle systems in the continuum.
This principle is an important step in the analysis of Markov evolutions and is
usually applied for the associated semigroups related to backward Kolmogorov
equations, c.f. [27].
Our approach is based on the study of forward Kolmogorov equations (a.k.a.
Fokker-Planck equations).
We describe a system evolving as a Markov process on the space of finite
configurations, whereas its rates depend on the actual state of another
(equilibrium) process
on the space of locally finite configurations. We will show that ergodicity of
the environment process implies the averaging principle for the solutions of
the
coupled Fokker-Planck equations.
