Two-dimensional systems of elongated particles: From diluted to dense

TL;DR

This paper reviews the jamming and percolation phenomena in two-dimensional elongated particle systems, covering various configurations and analytical methods to understand their dense packing and connectivity behaviors.

Contribution

It provides a comprehensive overview of analytical and computational approaches to study jamming and percolation in 2D elongated particle systems, including lattice and continuous models.

Findings

Different methods reveal how particle shape and orientation affect jamming density.

Percolation thresholds depend on particle alignment and system discretization.

Analytical and computational results highlight key factors influencing dense packing and connectivity.

Abstract

This chapter is devoted to the analysis of jamming and percolation behavior of two-dimensional systems of elongated particles. We consider both continuous and discrete spaces (with the special attention to the square lattice), as well the systems with isotropically deposited and aligned particles. Overviews of different analytical and computational methods and main results are presented.