ヤマダ　ヒロフミ   Hirofumi Yamada   山田　宏文    所属   千葉工業大学  情報変革科学部 教育センター（情報変革科学部）    職種   教授
言語種別	英語
発行・発表の年月	2015/09
形態種別	学術雑誌
査読	査読あり
標題	Estimates of critical quantities from an expansion in mass: Ising model on the simple cubic lattice
執筆形態	単著
掲載誌名	Brazilian Journal of Physics
出版社・発行元	Springer-Verlag
巻・号・頁	45(6),pp.584-603
概要	In 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.
DOI	10.1007/s13538-015-0353-8