Phase transitions in cellular automata for cargo transport and kinetically constrained traffic

TL;DR

This paper introduces a probabilistic cellular automaton model for cargo transport and traffic flow, revealing a discontinuous phase transition between different cargo velocities, and generalizes existing exclusion processes with defect dynamics.

Contribution

It presents an exactly solvable cellular automaton model that extends the asymmetric exclusion process to include defects and non-local jumps, capturing phase transitions in cargo and traffic flow.

Findings

Discontinuous phase transition between cargo velocity regimes.

Model is exactly solvable, providing analytical insights.

Captures effects of defects and non-local jumps in traffic flow.

Abstract

A probabilistic cellular automaton for cargo transport is presented that generalizes the totally asymmetric exclusion process with a defect from continuous time to parallel dynamics. It appears as an underlying principle in cellular automata for traffic flow with non-local jumps for the kinetic constraint to drive as fast as possible. The exactly solvable model shows a discontinuous phase transition between two regions with different cargo velocities.