  We study the non-equilibrium coarsening dynamics of a binary liquid solvent
around a colloidal particle in a presence of a time-dependent temperature
gradient that emerges after temperature quench of a suitably coated colloid
surface. The solvent is maintained at its critical concentration and the
colloid is fixed in space. The coarsening patterns near the surface are shown
to be strongly dependent on the colloid surface adsorption properties and on
the temperature evolution. The temperature gradient alters the morphology of a
binary solvent near the surface of a colloid as compared to the coarsening
proceeding at constant temperature everywhere. We also present results for the
evolution of coarsening in thin films with confining surfaces preferring one
species of the binary liquid mixture over the other. Confinement leads to a
faster phase segregation process and formation of a bridge connecting the
colloid and both the confining walls.
