# Radiative Heat Transfer in Fractal Structures

## TL;DR

This paper introduces a new formalism for radiative heat transfer in many-body systems, demonstrating how fractal structures influence thermal properties and revealing universal scaling laws related to fractal morphology.

## Contribution

It proposes a novel representation for radiative heat transfer that explains the impact of structure morphology, especially fractals, on collective thermal effects.

## Key findings

- Fractal structures exhibit complex, scale-invariant radiative behavior.
- Heat flux in fractals is short-range, unlike in non-fractal structures.
- A universal scaling law links radiative cooling to fractal dimension and gyration radius.

## 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.