Non-local thermal transport modeling using the thermal distributor

TL;DR

This paper introduces a method for modeling non-local thermal transport in quasi-ballistic graphene devices using the thermal distributor derived from the linearized Peierls-Boltzmann equation, capturing effects beyond local temperature gradients.

Contribution

It develops a novel approach employing the thermal distributor from the LPBE and RTA to accurately model non-local thermal effects in graphene.

Findings

Thermal distributor effectively captures non-local effects.

Model aligns well with experimental data.

Provides insights into thermal transport mechanisms.

Abstract

Thermal transport in a quasi-ballistic regime is determined not only by the local temperature $T(r)$, or its gradient $\nabla T(r)$, but also by temperature distribution at neighboring points. For an accurate description of non-local effects on thermal transport, we employ the thermal distributor, $\Theta (r,r')$, 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 (LPBE) and the relaxation time approximation (RTA) of the Peierls-Boltzmann equation and employ them to describe thermal transport in quasi-ballistic graphene devices.