The Optimized Model of Multiple Invasion Percolation

TL;DR

This paper investigates an optimized multiple invasion percolation model, analyzing its topological properties and revealing that the resulting clusters exhibit high connectivity, deviating from traditional geometrical structures.

Contribution

It introduces an optimized version of the multiple invasion percolation model and explores its topological characteristics compared to the ordinary invasion model.

Findings

Clusters show a high degree of connectivity.

Acceptance profile and vertex type abundance are significantly affected.

Traditional nodes-links-blobs structure is disrupted.

Abstract

We study the optimized version of the multiple invasion percolation model. Some topological aspects as the behavior of the acceptance profile, coordination number and vertex type abundance were investigated and compared to those of the ordinary invasion. Our results indicate that the clusters show a very high degree of connectivity, spoiling the usual nodes-links-blobs geometrical picture.