Jamming in a lattice model of stochastically interacting agents with a field of view

TL;DR

This paper investigates how local interactions and a field of view influence collective behavior in a lattice model, revealing a density-dependent jamming transition driven by intrinsic stochasticity.

Contribution

It introduces a lattice model with a weighted field of view where stochasticity depends on local density, demonstrating a first-order jamming transition at low densities.

Findings

Jamming transition occurs even at low densities.

The critical jamming density depends on the field of view.

Intrinsic stochasticity influences collective dynamics.

Abstract

We study the collective dynamics of a lattice model of stochastically interacting agents with a weighted field of vision. We assume that agents preferentially interact with neighbours, depending on their relative location, through velocity alignments and the additional constraint of exclusion. Unlike in previous models of flocking, here the stochasticity arises intrinsically from the interactions between agents, and its strength is dependent on the local density of agents. We find that this system yields a first-order jamming transition as a consequence of these interactions, even at a very low density. Furthermore, the critical jamming density is found to strongly depend on the nature of the field of view.