observe that the drift induced heat current decays initially as $d^{-4}$ when the gap distance is smaller than 10nm and decreases as $d^{-2}$ when $d>10$nm. A similar distance dependence is also observed in Fig. \[figure4\](d) for the nanosize sample with a larger range of $d^{-2}$ behavior. In summary, we proposed methods to describe heat transport without the assumption of local equilibrium. With FE method, the Bose function and Fermi function need to be shifted due to the drift velocity. For NEGF, we give a Meir-Wingreen formula with the input from a RPA calculation for $\Pi^r$ where the electron Green’s function is current-carrying and not in thermal equilibrium. We have demonstrated a drift induced radiative heat transfer in double-layer graphene. Such effects can be extended to any other 2D electron systems with large drift velocity or current. The drift induced heat current can even shut off the heat current produced by a temperature difference. It enables possibilities to exploit RHT through electronic control. Further, the proposed drift effects can exist in both large and microscopical systems. With wide-band tunability and nano-scale characteristic dimensions, the proposed drift effects appear very charming for the application in radiative thermal management.

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