  We study a coupled thermo-diffusion system that accounts for the dynamics of
hot colloids in periodically heterogeneous media. Our model describes the joint
evolution of temperature and colloidal concentrations in a saturated porous
structure, where the Smoluchowski interactions are responsible for aggregation
and fragmentation processes in the presence of Soret-Dufour type effects.
Additionally, we allow for deposition and depletion on internal micro-surfaces.
In this work, we derive corrector estimates quantifying the rate of convergence
of the periodic homogenization limit process performed in \cite{KAM14} via
two-scale convergence arguments. The major technical difficulties in the proof
are linked to the estimates between nonlinear processes of aggregation and
deposition and to the convergence arguments of the \emph{a priori} information
of the oscillating weak solutions and cell functions in high dimensions.
Essentially, we circumvent the arisen difficulties by a suitable use of the
energy method and of fine integral estimates controlling interactions at the
level of micro-surfaces.
