  We introduce dark matter (DM) evolution process in the Sun under a
two-component DM (2DM) scenario. Both DM species $\chi$ and $\xi$ with masses
heavier than 1 GeV are considered. In this picture, both species could be
captured by the Sun through DM-nucleus scattering and DM self-scatterings, e.g.
$\chi\chi$ and $\xi\xi$ collisions. In addition, the heterogeneous
self-scattering due to $\chi$ and $\xi$ collision is essentially possible in
any 2DM models. This new introduced scattering naturally weaves the evolution
processes of the two DM species that was assumed to evolve independently.
Moreover, the heterogeneous self-scattering enhances the number of DM being
captured in the Sun mutually. This effect significantly exists in a broad range
of DM mass spectrum. We have studied this phenomena and its implication for the
solar-captured DM annihilation rate. It would be crucial to the DM indirect
detection when the two masses are close. General formalism of the 2DM evolution
in the Sun as well as its kinematics are studied.
