  The distinguishability of at least two species of particles in the classical
lattice gas with no interactions except hard-core exclusion entails additional
interparticle correlations. A nonlinear mixing flow appears and manifests
itself most pronounced in the case of significant difference between mobilities
of species. It may result in the induced correlations for the slow component
mediated by the fast one. In the quasi-one-dimensional case, the long-time
correlations are demonstrated to take place in the slow component, that is
similar to the hydrodynamic correlations between colloidal particles. In the
adiabatic approximation, these correlations may come into play only in the
non-equilibrium case with the flow of the fast component present in the system.
