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Universal relations in the finite-size correction terms of two-dimensional Ising models | | Yutaka Okabe
; Naoki Kawashima
; | | Date: |
25 Jul 2001 | | Journal: | Phys. Rev. E64, 035103(R) (2001) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | Quite recently, Izmailian and Hu [Phys. Rev. Lett. 86, 5160 (2001)] studied the finite-size correction terms for the free energy per spin and the inverse correlation length of the critical two-dimensional Ising model. They obtained the universal amplitude ratio for the coefficients of two series. In this study we give a simple derivation of this universal relation; we do not use an explicit form of series expansion. Moreover, we show that the Izmailian and Hu’s relation is reduced to a simple and exact relation between the free energy and the correlation length. This equation holds at any temperature and has the same form as the finite-size scaling. | | Source: | arXiv, cond-mat/0107514 | | Other source: | [GID 740945] pmid11580376 | | Services: | Forum | Review | PDF | Favorites | |
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