The Ising model remains a cornerstone in the study of statistical mechanics, providing a simple yet profound framework for understanding cooperative phenomena and criticality in physical systems. By ...

The analysis of Ising models continues to provide deep insights into the phenomena of phase transitions and critical behaviour in statistical mechanics. In particular, the study of finite-size scaling ...

By extending a proof of a physically important behavior in one-dimensional quantum spin systems to higher dimensions, a RIKEN ...

“For instance, suppose you heat the right half of a solid and cool the left half, and then isolate it,” says Chiba. “Energy ...

John J. Hopfield and Geoffrey E. Hinton received the Nobel Prize in physics on Oct. 8, 2024, for their research on machine learning algorithms and neural networks that help computers learn. Their work ...

We pursue the study of the Curie–Weiss model of self-organized criticality we designed in (Ann. Probab. 44 (2016) 444–478). We extend our results to more general interaction functions and we prove ...