Topological Analysis of Foams and tetrahedral structures

TL;DR

This paper introduces a unified topological characterization method for foams and tetrahedral structures, enabling automated analysis of void spaces and applying Edwards' entropic formalism to granular and foam systems.

Contribution

It presents a novel unified topological representation and an automated workflow for analyzing void spaces, facilitating the application of Edwards' formalism to foams and tetrahedral structures.

Findings

Developed a simplified topological characterization method.

Created an automated workflow for void space analysis.

Applied Edwards' formalism to foam systems.

Abstract

In this paper we characterize foams and tetrahedral structures in a unified way, by a simplified representation of both that conserves the system topology. The paper presents a workflow for an automated characterization of the topology of the void space, using a partition of the void space into polyhedral cells connected by windows. This characterization serves as the basic input for the Edwards entropic formalism that deals with the statistical characterization of configurational disorder in granular aggregates and argued to work for foams. The Edwards formalism is introduced and simplified expectation values are calculated.