PhsyX isn't really an advantage, it's a feature. Look at youtube, it adds effects, smoke, dust, debris, stuff like that. But it's also a drain on the GPU and not very widely used. Mantle is a new API, like DirectX that enables games to communicate more efficiently with the GPU, I had read at one point it even helped Nvidia in some games, the real benefit has yet to be seen, as the new version of directX is on its way, and Mantle does not have widespread adoption yet. In bf4 Mantle tends to provide around 10 better fps in my experiences.