Abstract
In 1964 Q.M. Luttinger introduced an ingenious theoretical device to derive thermal transport coefficients. While thermal gradients that drive heat transport can not be included as a perturbation in the Hamiltonian, he showed that one could instead study a response to a pseudo-gravitational field that coupled to the energy density. The authors of this manuscript develop a formalism based on Luttinger's pseudo-gravitational field to study thermal transport at nanoscale. They show that their approach can reproduce the results obtained from Landauer-B\"uttiker theory commonly used to study thermal transport in nanosize systems and it can be extended to describe time-dependent thermal phenomena that were inaccessible using the traditional approach.
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