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We investigate the features arising from hydrodynamic effects in graphene andphosphorene devices with finite heat sources, using ab initio calculations togo beyond Callaway's model and inform a full linearized scattering operator,and solving the phonon Boltzmann transport equation through energy-baseddeviational Monte Carlo methods. We explain the mechanisms that create thosehydrodynamic features, showing that boundary scattering and the relation ofsample dimensions to the nonlocal length are the determinant factors,regardless of the relative importance of normal versus resistive scattering.From this point of view, the nonlocal length reflects the ability of scatteringto randomize the heat flux, and we show that approximations made on thescattering operator may have, through the value of nonlocal length, qualitativeconsequences on the signatures of hydrodynamic behavior.

Hydrodynamic signatures in thermal transport in devices based on 2D materials: an ab initio study