Transport properties of the Menger sponge
Statistical Mechanics
2023-04-18 v1 Soft Condensed Matter
Applied Physics
Abstract
The Menger sponge is a three-dimensional cube that comprises a self-similar, fractal domain and a non-fractal domain, both of which are continuous. Thus it is a useful heuristic model for natural and engineered fractal systems. For this purpose the effective transport coefficient associated with the transport properties (e.g., electrical conductivity, thermal conductivity) of the sponge is derived. Comparison is made to the Sierpinski sponge.
Keywords
Cite
@article{arxiv.2304.07635,
title = {Transport properties of the Menger sponge},
author = {Clinton DeW. Van Siclen},
journal= {arXiv preprint arXiv:2304.07635},
year = {2023}
}
Comments
6 pages, 3 figures