Proof of the Third Law of Thermodynamics for Ising Ferromagnets
- 1 December 1970
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 2 (6) , 2368-2370
- https://doi.org/10.1103/physreva.2.2368
Abstract
The third law of thermodynamics is proved for a large class of Ising models with generalized ferromagnetic many-body interactions. A sufficient condition for the third law to hold is that the model have nearest-neighbor couplings which are bounded from below by a positive constant. The proof is based on a spin-correlation inequality of Griffiths which implies a corresponding inequality for the bulk entropy per spin. Ground-state degeneracy considerations are completely avoided.Keywords
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