The previously introduced method of mean-field renormalization is reexamined in a finite-size-scaling perspective. The method is shown to provide simultaneously estimates for bulk and surface critical exponents. These are obtained within a scheme which guarantees convergence to exact results assuming the validity of standard finite-size scaling. The unifying scheme leads to rather accurate computations as illustrated in Ising and Potts models in two (and three) dimensions.
Mean-field Renormalization-group - Unified Approach To Bulk and Surface Critical-behavior
MARITAN, AMOS;STELLA, ATTILIO
1987
Abstract
The previously introduced method of mean-field renormalization is reexamined in a finite-size-scaling perspective. The method is shown to provide simultaneously estimates for bulk and surface critical exponents. These are obtained within a scheme which guarantees convergence to exact results assuming the validity of standard finite-size scaling. The unifying scheme leads to rather accurate computations as illustrated in Ising and Potts models in two (and three) dimensions.
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