Majority-vote on directed Small-World networks

TL;DR

This paper investigates the phase transition behavior of the Majority-vote model with noise on directed Small-World networks using Monte Carlo simulations, focusing on critical noise parameters and exponents across different network configurations.

Contribution

It provides a detailed analysis of the critical behavior and exponents of the Majority-vote model on directed Small-World networks, extending understanding of phase transitions in complex directed networks.

Findings

Critical noise parameter q_c varies with rewiring probability p.

Critical exponents beta/nu, gamma/nu, and 1/nu are calculated for different p.

The order-disorder phase transition is well-defined in this system.

Abstract

On directed Small-World networks the Majority-vote model with noise is now studied through Monte Carlo simulations. In this model, the order-disorder phase transition of the order parameter is well defined in this system. We calculate the value of the critical noise parameter q_c for several values of rewiring probability p of the directed Small-World network. The critical exponentes beta/nu, gamma/nu and 1/nu were calculated for several values of p.