Phase transitions in Ising model induced by weight redistribution on weighted regular networks

TL;DR

This paper investigates how redistributing weights in weighted regular networks influences the phase transition behavior of the Ising model, revealing that weight disordering can alter critical temperatures without changing the network topology.

Contribution

It introduces a novel approach to study the impact of weight redistribution on phase transitions in weighted networks, highlighting its potential to optimize system dynamics.

Findings

Disordering link weights affects the critical temperature of phase transition.

Weight redistribution can modify system dynamics without changing network topology.

Redistribution of weights offers a new method to optimize network behavior.

Abstract

In order to investigate the role of the weight in weighted networks, the collective behavior of the Ising system on weighted regular networks is studied by numerical simulation. In our model, the coupling strength between spins is inversely proportional to the corresponding weighted shortest distance. Disordering link weights can effectively affect the process of phase transition even though the underlying binary topological structure remains unchanged. Specifically, based on regular networks with homogeneous weights initially, randomly disordering link weights will change the critical temperature of phase transition. The results suggest that the redistribution of link weights may provide an additional approach to optimize the dynamical behaviors of the system.