Previously, the author solved the one-, two- and three-dimensional Ising models in the absence of an external magnetic field exactly. Additional convincing proofs for these solutions are given here. The exact solutions of the Ising models in a magnetic field are found. It is shown that the conventional methods of solving the Ising models are incorrect. Heat capacities and zero-field magnetic susceptibilities of the Ising models are calculated exactly for all dimensions (including the case of polonium) and a flaw in Onsager’s solution for heat capacity is detected. (It is shown that Onsager’s solution of the two-dimensional Ising model is wrong).

ferromagnetism, magnetic structure, magnetic properties, heat capacity, magnetic susceptibility.

Received: April 13, 2023; Accepted: May 3, 2023; Published: May 18, 2023

How to cite this article: I. A. Stepanov, Exact solutions of the Ising models in a magnetic field, JP Journal of Heat and Mass Transfer 33 (2023), 51-70. http://dx.doi.org/10.17654/0973576323023

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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