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Scaling corrections: site percolation and Ising model in three dimensions

H G Ballesteros-+, L A Fernández-+, V Martín-Mayor-+, A Muñoz Sudupe-+, G Parisi++ and J J Ruiz-Lorenzo-+

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Using finite-size scaling techniques we obtain accurate results for critical quantities of the Ising model and the site percolation, in three dimensions. We pay special attention to parametrizing the corrections-to-scaling, which is necessary to bring the systematic errors below the statistical ones.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

64.60.A- Specific approaches applied to studies of phase transitions

05.70.Jk Critical point phenomena

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B43 Percolation (See also 60K35)

82B26 Phase transitions (general)

82B27 Critical phenomena

Subjects

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 1 (8 January 1999)

Received 15 May 1998, in final form 4 September 1998



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