**Are you an EPFL student looking for a semester project?**

Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.

Publication# Geometric Percolation of Spherically Symmetric Fractal Aggregates

Abstract

The connectedness percolation threshold (phi(c)) for spherically symmetric, randomly distributed fractal aggregates is investigated as a function of the fractal dimension (d(F)) of the aggregates through a mean-field approach. A pair of aggregates (each of radius R) are considered to be connected if a pair of primary particles (each of diameter delta), one from each assembly, are located within a prescribed distance of each other. An estimate for the number of such contacts between primary particles for a pair of aggregates is combined with a mapping onto the model for fully penetrable spheres to calculate phi(c). For sufficiently large aggregates, our analysis reveals the existence of two regimes for the dependence of fc upon R/delta namely: (i) when d(F) > 1.5 aggregates form contacts near to tangency, and phi(c) approximate to (R/delta)(dF-3), whereas (ii) when d(F) < 1.5 deeper interpenetration of the aggregates is required to achieve contact formation, and phi(c) approximate to (R/delta)(-dF). For a fixed (large) value of R/delta, a minimum for fc as a function of dF occurs when d(F) = 1.5. Taken together, these dependencies consistently describe behaviors observed over the domain 1

Official source

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Related concepts

Loading

Related publications

Loading

Related publications

No results

Related concepts (12)

Percolation theory

In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fractio

Particle

In the physical sciences, a particle (or corpuscule in older texts) is a small localized object which can be described by several physical or chemical properties, such as volume, density, or mass. T

Sphere

A sphere () is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the set of points that are all at the same distance r from a given point