Connectedness percolation of fractal liquids

Autor:	de Bruijn, René, van der Schoot, Paul
Rok vydání:	2021
Předmět:	Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.104.054605
Popis:	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. Comment: 7 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.14992 Zobrazit plný text záznamu View this record from Arxiv