Thermodynamic limit of spin systems on random graphs

In the study of spin systems on random graphs, researchers have turned to the concept of graphons, which serve as a continuous mathematical representation of the thermodynamic limit of convergent sequences of dense graphs. This approach allows for a general and continuous description of quantum spin systems in thermal equilibrium, particularly when the average coordination number grows extensively as the system size increases. By utilizing this framework, researchers are able to gain deeper insights into the behavior of spin systems on random graphs and explore the thermodynamic limit of such systems. This research not only contributes to our understanding of the behavior of complex systems at a macroscopic level but also sheds light on the fundamental principles governing the dynamics of spin systems in equilibrium. To learn more about the study of spin systems on random graphs and the thermodynamic limit, you can access the full article at https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.013011.