Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method

Miroslav Kolesik; Masuo Suzuki

doi:10.1016/0378-4371(94)00302-A

Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method

Miroslav Kolesik, Masuo Suzuki

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by α = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5).

Original language	English (US)
Pages (from-to)	138-151
Number of pages	14
Journal	Physica A: Statistical Mechanics and its Applications
Volume	215
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(94)00302-A
State	Published - Apr 15 1995
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/0378-4371(94)00302-A

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title = "Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method",

abstract = "An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by α = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5).",

author = "Miroslav Kolesik and Masuo Suzuki",

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T1 - Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method

AU - Kolesik, Miroslav

AU - Suzuki, Masuo

PY - 1995/4/15

Y1 - 1995/4/15

N2 - An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by α = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5).

AB - An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by α = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5).

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Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method

Abstract

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