Finite Size Scaling in Three-dimensional Ising Model
Dec, 1983
45 pages
Published in:
- Phys.Rev.B 32 (1985) 1720-1730
Report number:
- NSF-ITP-83-144
Citations per year
Abstract: (APS)
We have performed extensive studies of finite-size scaling in the three-dimensional Ising model, using a specially designed Ising processor. We show results for the susceptibility, the energy and specific heat, and the connected part of the fourth moment of the magnetization. Corrections to finite-size scaling are found to be small only for lattices of linear dimension greater than about L=24. This effect severely limits the accuracy to which critical parameters can be estimated. We estimate Kc=0.221 650±0.000 005 for the critical coupling, while exponent estimates are consistent with those obtained by other methods.- 05.50.+q
- 75.10.Hk
- STATISTICAL MECHANICS: ISING
- STATISTICAL MECHANICS: THREE-DIMENSIONAL
- SCALING: FINITE SIZE
- LATTICE FIELD THEORY: CRITICAL PHENOMENA
- COMPUTER
- NUMERICAL CALCULATIONS: MONTE CARLO
References(23)
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