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	2014/01
形態種別	大学・研究所等紀要
標題	Notes on the delta-expansion approach to the 2D Ising susceptibility scaling
執筆形態	単著
掲載誌名	Report of Chiba Institute of Technology
巻・号・頁	61,pp.91-102
概要	We study the scaling of the magnetic susceptibility in the square Ising model based upon the delta-expansion in the high temperature phase. The susceptibility chi is expressed in terms of the mass M and expanded in powers of 1/M. The dilation around M=0 by the delta expansion and the parametric extension of the ratio of derivatives of chi, chi^{(ell+1)}/chi^{(ell)} is used as a test function for the estimation of the critical exponent gamma with no bias from information of the critical temperature. Estimation is done with the help of the principle of minimum sensitivity and detailed analysis revealed that ell=0,1 cases provide us accurate estimation results. Critical exponent of the sub-leading scaling term is also estimated.