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.

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Cited by in corpus (21)

• Near-field Radiative Heat Transfer in Many-Body Systems
• Thermal radiation in systems of many dipoles
• Radiative heat transfer and radiative thermal energy for 2D nanoparticle ensembles
• Many-body effective thermal conductivity in phase-change nanoparticle chains due to near-field radiative heat transfer
• Magneto-thermoplasmonics: from theory to applications
• Radiative heat transfer between metallic nanoparticle clusters in both near field and far field
• Radiative thermal rectification in many-body systems
• Limitations of the kinetic theory to describe the near-field heat exchanges in many-body systems
• The structure of deterministic mass and surface fractals: theory and methods of analyzing small-angle scattering data
• Radiative Heat Transfer Between Core-Shell Nanoparticles
• Near-field radiative heat transfer between irregularly shaped dielectric particles modeled with the discrete system Green's function method
• Green-Kubo relation for thermal radiation in non-reciprocal systems
• Radiative Resistance at The Nano-scale: Thermal Barrier
• Linear and nonlinear response for radiative heat transfer in many-body systems
• Saturation of radiative heat transfer due to many-body thermalization
• Heat radiation and transfer for nanoparticles in the presence of a cylinder
• Favorable and unfavorable many-body interactions for near-field radiative heat transfer in nanoparticle networks
• Generalized many-body approach for near-field radiative heat transfer between nonspherical dipoles
• Near-field thermal emission from metasurfaces constructed of SiC ellipsoidal particles
• Generalized coupled dipole method for thermal far-field radiation
• Fractal Interpretation of Bacterial Light Harvesters