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Stability Surface for the Blume‐Capel Model
Author(s) -
Taggart G. B.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221050231
Subject(s) - metastability , stability (learning theory) , surface (topology) , lattice (music) , statistical physics , thermodynamics , mean field theory , parameter space , mathematics , physics , condensed matter physics , materials science , geometry , quantum mechanics , machine learning , computer science , acoustics
The stability surface for the Blume‐Capel model is obtained in the thermodynamic space of the temperature and densities (order parameters). This surface, which separates thermodynamically stable (metastable) regions from unstable ones, is determined from divergences in the generalized static susceptibility. The susceptibility itself is derived from correlation functions which are calculated from high temperature expansions to the first order beyond the mean field approximation. Consequently the stability surface exhibits lattice‐dependent effects.