The effect of lattice size on one-dimensional majority-vote model on directed small-world networks

Abstract EN

This research, studies the social-physical model in one-dimension (1D) which is known as Majority-Vote model (MVM) and its critical physical properties using the extremely directed small-world networks (DSW).

The researchers used the Monte Carlo method to study the MVM for different lattice sizes (L) with probability=0.95, which is the case of the extremely targeted model with nonlocal links.

In addition, the critical exponents' ratio are determined, by using critical exponent's ratios y/v, p/v, and 1/v.

The results show that MVM presents identical exponents to the one-dimensional Ising model on