  We present a unified framework to simulate heat and mass transport in systems
of particles. The proposed framework is based on kinematic mean field theory
and uses a phenomenological master equation to compute effective transport
rates between particles without the need to evaluate operators. We exploit this
advantage and apply the model to simulate transport phenomena at the nanoscale.
We demonstrate that, when calibrated to experimentally-measured transport
coefficients, the model can accurately predict transient and steady state
temperature and concentration profiles even in scenarios where the length of
the device is comparable to the mean free path of the carriers. Through several
example applications, we demonstrate the validity of our model for all classes
of materials, including ones that, until now, would have been outside the
domain of computational feasibility.
