In an Attempt to Introduce Long-range Interactions into Small-world Networks

TL;DR

This paper investigates how introducing long-range interactions into small-world networks affects the critical temperature of spin-lattice Gaussian models, revealing significant differences from classical models and suggesting more precise analysis of such systems.

Contribution

It presents a novel study on the impact of long-range bonds in small-world networks on the critical properties of spin-lattice Gaussian models.

Findings

Long-range bonds significantly alter the critical temperature.

Results differ markedly from classical models.

Implications for understanding phase transitions in complex networks.

Abstract

Distinguishing the long-range bonds with the regular ones, the critical temperature of the spin-lattice Guassian model built on two typical Small-world Networks (SWNs) is studied. The results show much difference from the classical case, and thus may induce some more accurate discussion on the critical properties of the spin-lattice systems combined with the SWNs.