  We employ the state-of-the-art molecular dynamics simulations to study the
kinetics of phase separation and aging phenomena of segregating binary fluid
mixtures imbibed in porous materials. Different random porous structures are
considered to understand the effect of pore morphology on coarsening dynamics.
We find the effect of complex geometrical confinement resulting in the dramatic
slowing down in the phase separation dynamics. The domain growth follows the
power law with an exponent dependent on the porous host structure. After the
transient period, a crossover to a slower domain growth is observed when the
domain size becomes comparable to the pore size. Due to the geometric
confinement, the correlation function and structure factor modify to a
non-Porod behavior and violate the superuniversality hypothesis. The role of
porous host structure on the nonequilibrium aging dynamics is studied
qualitatively by computing the two-time order-parameter autocorrelation
function. This quantity exhibits scaling laws with respect to the ratio of the
domain length at the observation time and the age of the system. We find the
scaling laws hold good for such confined segregating fluid mixtures.
