Ising model with varying spin strength on a scale-free network: scaling functions and critical amplitude ratios

TL;DR

This paper investigates the critical behavior and universal ratios of an Ising-like model with varying agent strength on a scale-free network, extending previous work on phase diagrams and universality classes.

Contribution

It provides analysis of scaling functions and critical amplitude ratios for the model on a scale-free network, revealing new universal properties.

Findings

Identification of scaling functions for the model

Calculation of universal critical amplitude ratios

Extension of phase diagram analysis to new universality classes

Abstract

Recently, a novel model to describe ordering in systems comprising agents which, although matching in their binarity (i.e., maintaining the iconic Ising features of ``+'' or ``-'', ``up'' or ``down'', ``yes'' or ``no''), still differing in their strength was suggested [Krasnytska et al., J. Phys. Complex., 2020, 1, 035008]. The model was analyzed for a particular case when agents are located on sites of a scale-free network and agent strength is a random variable governed by a power-law decaying distribution. For the annealed network, the exact solution shows a rich phase diagram with different types of critical behavior and new universality classes. This paper continues the above studies and addresses the analysis of scaling functions and universal critical amplitude ratios for the model on a scale-free network.