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 physicist has shown in a new study that the model lacks exact solutions.

A two-dimensional representation of a ten-dimensional hypercube. A RIKEN researcher has shown that quantum Ising models lack ...

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 ...