Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-20T04:34:03.291Z Has data issue: false hasContentIssue false
  • English
  • Français

Statistics of the simple cubic lattice. II

Published online by Cambridge University Press:  24 October 2008

A. J. Wakefield
A. J. Wakefield
Affiliation:
Clarendon LaboratoryOxford
Get access Rights & Permissions [Opens in a new window]

Extract

Experimentally it is found for a ferromagnetic substance that the spontaneous magnetization decreases as the temperature increases. At a certain temperature called the Curie point, the magnetization disappears (or substantially disappears) and remains zero for higher temperatures. Associated with these magnetic properties is an anomaly in the specific heat. This quantity is greater than that which would be calculated theoretically for the material were it non-magnetic and becomes large when the temperature approaches the Curie point from below. Just above the Curie point there is a sharp but continuous decrease in the specific heat and the system is said to show critical behaviour. We shall examine the Ising model of the ferromagnet with a simple cubic lattice structure, determine the specific heat anomaly and the corresponding energy excess due to magnetism, and also see how the critical behaviour of the model compares with that actually observed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 4 , October 1951 , pp. 799 - 810
Copyright
Copyright © Cambridge Philosophical Society 1951

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Wakefield, A. J.Proc. Cambridge Phil. Soc. 47 (1951), 419.CrossRefGoogle Scholar
(2)Trefftz, E.Z. Phys. 127 (1950), 371.CrossRefGoogle Scholar
(3)Onsager, L.Phys. Rev. 65 (1944), 117.CrossRefGoogle Scholar
(4)Wannier, G. H.Rev. Mod. Phys. 17 (1945), 50.CrossRefGoogle Scholar
(5)Bethe, H. A.Proc. Roy. Soc. A, 150 (1935), 552.Google Scholar
(6)Kirkwood, J. G.J. Chem. Phys. 6 (1938), 130.Google Scholar
(7)Chang, T. S.J. Chem. Phys. 9 (1941), 169.CrossRefGoogle Scholar
(8)Nix, F. C. and Shockley, W.Rev. Mod. Phys. 10 (1938), 1.CrossRefGoogle Scholar
(9)Stoner, E. C.Rep. Progr. Phys. 11 (1947), 55.Google Scholar