Phase transitions, memory and frustration in a Sznajd-like model with synchronous updating

TL;DR

This paper presents a new consensus model inspired by the Sznajd Model, highlighting how synchronous updating and memory influence the emergence of total consensus and phase transitions.

Contribution

It introduces a Sznajd-like model with synchronous updating and memory, demonstrating their roles in facilitating phase transitions to consensus.

Findings

Memory is crucial for reaching total consensus.

Synchronous updating affects the phase transition dynamics.

The model exhibits a clear transition from no-consensus to consensus.

Abstract

We introduce a consensus model inspired by the Sznajd Model. The updating is synchronous and memory plays here a decisive role in making possible the reaching of total consensus. We study the phase transition between the state with no-consensus to the state with total consensus.