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)|
|Number of pages||14|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Apr 15 1995|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics