2015年12月
Estimates of Critical Quantities from an Expansion in Mass: Ising Model on the Simple Cubic Lattice
BRAZILIAN JOURNAL OF PHYSICS
- 巻
- 45
- 号
- 6
- 開始ページ
- 584
- 終了ページ
- 603
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s13538-015-0353-8
- 出版者・発行元
- SPRINGER
In the Ising model on the simple cubic lattice, we describe the inverse temperature beta and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass M. The critical behaviors of those quantities are represented by the linear differential equations with constant coefficients which are related to critical exponents. We estimate the critical temperature and exponents via an expansion in the inverse powers of the mass under the use of delta-expansion. The critical inverse temperature beta(c) is estimated first in unbiased manner and then critical exponents are also estimated in biased and unbiased self-contained way including omega, the correction-to-scaling exponent, nu, eta, and gamma.
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