Density Fluctuations and Phase Transition in the Nagel-Schreckenberg Traffic Flow Model

TL;DR

This paper investigates the transition from free flow to jammed traffic in the Nagel-Schreckenberg model using local density analysis, revealing phase diagram characteristics and fluctuation behaviors.

Contribution

Introduces a new local density distribution method to analyze phase transitions in the Nagel-Schreckenberg traffic model.

Findings

Identifies the phase transition point between free flow and jammed states.

Provides a detailed phase diagram of the system.

Characterizes fluctuations in the steady state.

Abstract

We consider the transition of the Nagel-Schreckenberg traffic flow model from the free flow regime to the jammed regime. We examine the inhomogeneous character of the system by introducing a new method of analysis which is based on the local density distribution. We investigated the characteristic fluctuations in the steady state and present the phase diagram of the system.