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In chains of closely-spaced nanoparticles supporting surface polaritons,near-field electromagnetic coupling leads to collective effects andsuper-Planckian thermal radiation exchange. Researchers have primarily used twoanalytical approaches to calculate radiative heat transfer in these systems:fluctuational electrodynamics, which directly incorporates fluctuating thermalcurrents into Maxwell's equations, and a kinetic approach where the dispersionrelation provides modes and propagation lengths for the Boltzmann transportequation. Here, we compare results from the two approaches in order to identifyregimes in which kinetic theory is valid and to explain differing results inthe literature on its validity. Using both methods, we calculate the diffusiveradiative thermal conductivity of nanoparticle chains. We show that kinetictheory is valid and matches predictions by fluctuational electrodynamics whenthe propagation lengths are greater than the particle spacing.

Validity of kinetic theory for radiative heat transfer in nanoparticle chains