Universal finite-size scaling functions with exact nonuniversal metric factors

Ming Chya Wu, Chin Kun Hu, N. Sh Izmailian

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

Finite-size scaling was of interest to scientists working on a variety of critical systems, including superfluids, spin models, percolation models, lattice gauge models, spin glass, etc. Universal finite-size scaling and finite-size corrections in finite critical systems have attracted much attention in recent decades. This paper uses the exact partition functions of the Ising model on finite SQ, PT, and HC lattices with periodic-aperiodic boundary conditions and an exact expansion method to obtain exact finite-size corrections fo the free energy fB, the internal energy EB, and the specific heat CB of the critical Ising model on these lattices.

Original languageEnglish
Article number065103
Pages (from-to)065103/1-065103/4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number6 2
StatePublished - Jun 2003

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