Quick Search:
Prog. Theor. Phys. Vol. 55 No. 3 (1976) pp. 665-671
On an Extremely Anisotropic n-Vector Model in the Limit of Infinite n
Paul A. Pearce and
Colin J. Thompson*
Mathematics Department, University of Melbourne, Parkville, Victoria 3052, Australia
*Department of Physics, Kyoto University, Kyoto
(Received August 12, 1975)
Abstract:
It is proved that the free energy of an extremely anisotropic n-vector model in which only a finite number, k say, of spin components are allowed to interact, is identical to that of the Curie-Weiss (or mean-field) spherical model, or equivalently an extremely anisotropic spherical model considered by Lieb and Thompson, in the limit n →∞ with k fixed.
URL :
http://ptp.ipap.jp/link?PTP/55/665/
DOI : 10.1143/PTP.55.665
References:
-
H. E. Stanley, Phys. Rev. 176 (1968), 718[APS].
-
S. Ma, Phys. Rev. A 7 (1973), 2172[APS].
- R. Abe and S. Hikami, Prog. Theor. Phys. 51 (1974), 1041, [PTP]and references quoted therein.
-
M. A. Moore, D. M. Saul and M. Wortis, J. Phys. C 7 (1974), 162[IoP STACKS].
-
A. Aharony, J. Phys. C 7 (1974), L63[IoP STACKS].
- S. Hikami, Prog. Theor. Phys. 52 (1974), 1431[PTP].
-
E. H. Lieb and C. J. Thompson, J. Math. Phys. 10 (1969), 1403[CrossRef].
-
C. J. Thompson and H. Silver, Commun. Math. Phys. 33 (1973), 53[CrossRef].
- M. Kac and C. J. Thompson, Physica Norvegica 5 (1971), 163.
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover Inc. N. Y., 1970), eqn. 9. 6. 18.
