# What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution

@article{Viswanathan2022WhatDI, title={What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution}, author={Gandhi M. Viswanathan and Marco Aurelio G. Portillo and Ernesto P. Raposo and M. G. E. da Luz}, journal={Entropy}, year={2022}, volume={24} }

An exact solution of the Ising model on the simple cubic lattice is one of the long-standing open problems in rigorous statistical mechanics. Indeed, it is generally believed that settling it would constitute a methodological breakthrough, fomenting great prospects for further application, similarly to what happened when Lars Onsager solved the two-dimensional model eighty years ago. Hence, there have been many attempts to find analytic expressions for the exact partition function Z, but all…

## 4 Citations

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The relevant approximate spontaneous magnetization relations for the simple-cubic and body-centered-cubic Ising lattices have recently been obtained analytically by a novel approach that conﬂates the…

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