Exact solutions of the ising models in a magnetic field
By: Stepanov, I. A
.
Publisher: Prayagraj Pushpa Publishing House 2023Edition: Vol.33, Jun.Description: 51-70p.Subject(s): Mechanical EngineeringOnline resources: Click here
In:
JP journal of heat and mass transferSummary: 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).
| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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Articles Abstract Database
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School of Engineering & Technology Archieval Section | Not for loan | 2023-1615 |
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).
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