Ising Model on Edge-Dual of Random Networks

TL;DR

This paper investigates the critical behavior of the Ising model on edge-dual of uncorrelated random networks with arbitrary degree distributions, highlighting differences from the original networks.

Contribution

It derives high and low temperature expansions for the Ising model on edge-dual networks and compares their critical phenomena with those on the original scale-free networks.

Findings

Derived temperature expansions for the Ising model on edge-dual networks.

Identified differences in critical behavior between original and edge-dual networks.

Highlighted the role of clustering in the thermodynamic limit.

Abstract

We consider Ising model on edge-dual of uncorrelated random networks with arbitrary degree distribution. These networks have a finite clustering in the thermodynamic limit. High and low temperature expansions of Ising model on the edge-dual of random networks are derived. A detailed comparison of the critical behavior of Ising model on scale free random networks and their edge-dual is presented.