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Ising dynamics on multilayer networks with heterogeneous layers.

Suman S Kulkarni, Christopher W Lynn, Mason A Porter

|October 3, 2025

Summary

Investigating Ising dynamics on multilayer networks reveals that layer structure and heterogeneity significantly impact system behavior. Peripheral nodes in core-periphery networks can disproportionately influence dynamics.

Area of Science:

Complex Systems Science
Network Science
Statistical Physics

Background:

Multilayer networks model systems with diverse interactions and dynamics.
Understanding how network structure influences dynamics is crucial for complex systems analysis.

Purpose of the Study:

To investigate Ising dynamics on multilayer networks, focusing on multiplex networks.
To analyze the impact of layer structure, heterogeneity, and interlayer coupling on dynamics.

Main Methods:

Numerical simulations and mean-field approximation were employed.
Examined steady-state and metastable behaviors of Ising dynamics.
Studied synthetic and empirical multilayer networks.

Main Results:

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Layer heterogeneity and interlayer coupling strength affect Ising dynamics.
Interlayer edges involving peripheral nodes have a greater influence in core-periphery networks.
Both synthetic and empirical network structures impact dynamics.

Conclusions:

Heterogeneity across network layers is a key determinant of overall network dynamics.
The position of nodes (core vs. periphery) influences the impact of interlayer connections.
Findings apply to diverse systems, including biological and social networks.