Abstract
The thermodynamics of a classical lattice gas in Ising form, with arbitrary interaction, is set up in entropy format, with multipoint magnetizations as control parameters. It is specialized to the case of one- and two-point interactions on a simply connected lattice; both entropy and profile equations are written down explicitly. Linear response functions are expressed in Wertheim-Baxter factorization and used to derive the Jacobian of the transformation from couplings to magnetizations. An arbitrary spin-glass coupling distribution is transformed to the corresponding magnetization distribution, whose effect on thermodynamic properties is assessed. A Gaussian coupling-fluctuation expansion diverges at sufficiently large fluctuation amplitude, suggesting the possibility of a phase transition.
Original language | English (US) |
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Pages (from-to) | 1365-1377 |
Number of pages | 13 |
Journal | Journal of Statistical Physics |
Volume | 70 |
Issue number | 5-6 |
DOIs | |
State | Published - Mar 1993 |
Keywords
- Bethe lattice
- Nonuniform Ising model
- spin glass
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics