# Force Percolation Transition of Jammed Granular Systems

## TL;DR

This study uses simulations to analyze the force percolation transition in jammed granular systems, revealing it belongs to the random percolation class and connects to the jamming transition at zero pressure.

## Contribution

It demonstrates that the force percolation transition in jammed systems is a random percolation process and links it to the jamming transition through pressure scaling.

## Key findings

- Force percolation belongs to the random percolation universality class.
- The transition evolves into the jamming transition as pressure approaches zero.
- Critical region size scales with pressure.

## Abstract

The mechanical and transport properties of jammed materials originate from an underlying per- colating network of contact forces between the grains. Using extensive simulations we investigate the force-percolation transition of this network, where two particles are considered as linked if their interparticle force overcomes a threshold. We show that this transition belongs to the random percolation universality class, thus ruling out the existence of long-range correlations between the forces. Through a combined size and pressure scaling for the percolative quantities, we show that the continuous force percolation transition evolves into the discontinuous jamming transition in the zero pressure limit, as the size of the critical region scales with the pressure.