In:
Revista Brasileira de Ensino de Física, FapUNIFESP (SciELO), Vol. 26, No. 4 ( 2004-12), p. 385-393
Abstract:
The Pierre Weiss and Bethe-Peierls mean-field approximations are implemented for the ferromagnetic Ising model, with emphasis in the spatial fluctuations of the localized magnetic moments. Although in the Bethe-Peierls approximation we do not have a single-particle Hamiltonian, we present a simple way to obtain the mean energy of the lattice using the spin-spin correlation function. We also compare the next-nearest neighbor spin-spin correlation calculated in both mean-field approximations with the exact result for the two-dimensional lattice of 1/2 spin. This comparison shows clearly the supremacy of the Bethe-Peierls method over the Pierre Weiss one.
Type of Medium:
Online Resource
ISSN:
1806-1117
DOI:
10.1590/S1806-11172004000400013
Language:
Unknown
Publisher:
FapUNIFESP (SciELO)
Publication Date:
2004
detail.hit.zdb_id:
2111196-0
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