Microscopic description of the equality between violation of fluctuation-dissipation relation and energy dissipation

In systems far from equilibrium, the fluctuation-dissipation relation is violated due to the lack of detailed balance. Recently, for a class of Langevin equations, it has been proved that this violation is related to energy dissipation as an equality [Phys. Rev. Lett. 95, 130602 (2005)]. We provide a microscopic description of this equality by studying a nonequilibrium colloidal system on the basis of classical mechanics with some physical assumptions.