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In a complementary article, we exploited algebraic properties of Maxwell'sequations and fundamental principles such as electromagnetic reciprocity andpassivity, to derive fundamental limits to radiative heat transfer applicablein near- through far-field regimes. The limits depend on the choice of materialsusceptibilities and bounding surfaces enclosing arbitrarily shaped objects. Inthis article, we apply these bounds to two different geometric configurationsof interest, namely dipolar particles or extended structures of infinite areain the near field of one another, and compare these predictions to priorlimits. We find that while near-field radiative heat transfer between dipolarparticles can saturate purely geometric "Landauer" limits, bounds on extendedstructures cannot, instead growing much more slowly with respect to a materialresponse figure of merit, an "inverse resistivity" for metals, due to thedeleterious effects of multiple scattering; nanostructuring is unable toovercome these limits, which can be practically reached by planar media at thesurface polariton condition.

Fundamental limits to radiative heat transfer: the limited role of nanostructuring in the near field