Gaussian fluctuations of the molecular field in the spin-s ising model

Jan Aksamit

Physica A: Statistical Mechanics and its Applications, 1990, vol. 164, issue 3, 673-690

Abstract: An approximation for the Gaussian fluctuations of the molecular field is derived by the summation of a finite number of ring diagrams in the vertex renormalized linked-cluster expansion (Brout's high density classification scheme is abandoned). It is shown that the best results are obtained by taking a maximal number of the consecutive ring diagrams on the condition that the transition between the ferromagnetic and paramagnetic phases is continuous. For three-dimensional cubic lattices the critical temperatures differ then by 1% or less from the HTSE estimates. Thermodynamic quantities behave correctly for all temperatures (the specific heat displays at Tc a λ-type finite gap), but the critical indices retain their classical values.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:164:y:1990:i:3:p:673-690

DOI: 10.1016/0378-4371(90)90228-K

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