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arXiv · 2106.14992

Connectedness percolation of fractal liquids

René de Bruijn·Paul van der Schoot
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Abstract

We apply connectedness percolation theory to fractal liquids of hard particles, and make use of a Percus-Yevick liquid state theory combined with a geometric connectivity criterion. We find that in fractal dimensions the percolation threshold interpolates continuously between integer-dimensional values, and that it decreases monotonically with increasing (fractal) dimension. The influence of hard-core interactions is only significant for dimensions below three. Finally, our theory incorrectly suggests that a percolation threshold is absent below about two dimensions, which we attribute to the breakdown of the connectedness Percus-Yevick closure.

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René de Bruijn, Paul van der Schoot. 2021-06-28. Connectedness percolation of fractal liquids. https://doi.org/10.1103/physreve.104.054605

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