# Flocking in one dimension: effect of update rules

## TL;DR

This paper investigates how different update rules, parallel and random-sequential, influence the dynamics and phase transitions of one-dimensional flocking models, revealing significant differences in switching frequency and transition nature.

## Contribution

It provides a comparative analysis of update mechanisms in 1D flocking, highlighting their impact on disorder-order transitions and dynamical behaviors.

## Key findings

- Random-sequential updates increase directional switching frequency.
- Transition from disorder to order is discontinuous with parallel updates.
- Transition becomes continuous with random-sequential updates.

## Abstract

In this study the effect of parallel and random-sequential updates on the dynamical properties of flocks in one dimension is considered. It is found that the frequency of directional switching is increased for random-sequential updates as compared to a parallel update. The nature of disorder to order transition is also affected by the difference of updating mechanism: discontinuous for parallel and continuous for random-sequential updates.