Nonlocal thermal transport modeling using the thermal distributor

Thermal transport in a quasiballistic regime is determined not only by the local temperature T(r) or its gradient ?T(r) but also by the temperature distribution at neighboring points. For an accurate description of nonlocal effects on thermal transport, we employ the thermal distributor T(r,r'), which provides the temperature response of the system at point r to the heat input at point r'. We determine the thermal distributors from the linearized Peierls-Boltzmann equation, both with and without the relaxation time approximation, and employ them to describe thermal transport in quasiballistic graphene devices.