Continuous sequence of mean-field approximations and critical phenomena

The coherent anomaly method, introduced by Suzuki in 1986, provides, in principle, a remarkably simple approach to study critical phenomena within the framework of the mean-field approximation. Unlike the renormalization group techniques commonly employed to investigate critical phenomena, Suzuki�...

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Bibliographic Details
Published in:Physica A 1994-08, Vol.209 (1), p.257-267
Main Authors: Cenedese, P., Sanchez, J.M., Kikuchi, R.
Format: Article
Language:English
Subjects:
Approximations and expansions
Critical point phenomena
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Phase transitions: general studies
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Thermodynamics
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Summary:The coherent anomaly method, introduced by Suzuki in 1986, provides, in principle, a remarkably simple approach to study critical phenomena within the framework of the mean-field approximation. Unlike the renormalization group techniques commonly employed to investigate critical phenomena, Suzuki's method exploits the systematic behavior of a sequence of mean-field approximations in order to extract critical temperature and exponents. Despite its conceptual simplicity, actual implementation of the CAM requires the ability to treat at least three levels of mean-field approximations belonging to what Suzuki has termed a “cardinal” sequence. Here we present a new method based on a continuous sequence of mean-field approximations from which the implementation of the CAM proceeds in a straightforward manner.
ISSN:0378-4371
1873-2119
DOI:10.1016/0378-4371(94)90059-0