Radiative Heat Transfer in Fractal Structures

Abstract

The radiative properties of most structures are intimately connected to the way in which their constituents are ordered on the nano-scale. We have proposed a new representation for radiative heat transfer formalism in many-body systems. In this representation, we explain why collective effects depend on the morphology of structures, and how the arrangement of nanoparticles and their material affects the thermal properties in many-body systems. We investigated the radiative heat transfer problem in fractal (i.e., scale invariant) structures. In order to show the effect of the structure morphology on the collective properties, the radiative heat transfer and radiative cooling are studied and the results are compared for fractal and non-fractal structures. It is shown that fractal arranged nanoparticles display complex radiative behavior related to their scaling properties. we showed that, in contrast to non-fractal structures, heat flux in fractals is not of large-range character. By using the fractal dimension as a means to describe the structure morphology, we present a universal scaling behavior that quantitatively links the structure radiative cooling to the structure gyration radius.

References in corpus (7)

• Radiative heat transfer between metallic nanoparticles
• Heat Transport Through Plasmonic Interactions in Closely Spaced Metallic Nanoparticles Chains
• Radiative Heat Transfer in Anisotropic Many-Body Systems: Tuning and Enhancement
• Heat Transfer Through Near-Field Interactions in Nanofluids
• Ballistic near-field heat transport in dense many-body systems
• Three-body radiation dynamics in systems with anisotropic nanoparticles
• Anisotropy enhancement of the Casimir-Polder force between a nanoparticle and graphene

Cited by in corpus (6)

• Radiative heat transfer between metallic nanoparticle clusters in both near field and far field
• The structure of deterministic mass and surface fractals: theory and methods of analyzing small-angle scattering data
• Radiative Resistance at The Nano-scale: Thermal Barrier
• Linear and nonlinear response for radiative heat transfer in many-body systems
• Generalized coupled dipole method for thermal far-field radiation
• Fractal Interpretation of Bacterial Light Harvesters