RG BASED ONLY ON FINITE-SIZE-SCALING

Authors
Citation
Pmc. Deoliveira, RG BASED ONLY ON FINITE-SIZE-SCALING, Physica. A, 205(1-3), 1994, pp. 101-107
Citations number
7
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
205
Issue
1-3
Year of publication
1994
Pages
101 - 107
Database
ISI
SICI code
0378-4371(1994)205:1-3<101:RBOOF>2.0.ZU;2-W
Abstract
We discuss a recently introduced real space renormalization group (RSR G) approach. Unlike other RSRGs, it does not depend upon weight functi ons arisen from particular recipes like majority rule or others. Inste ad, it is formulated assuming only the validity of Fisher's finite siz e scaling hypothesis. Because.of this, it is free from conceptual crit icisms normally invoked against RSRGs, as well as other unpleasant con sequences of particular weight function choices as the so-called proli feration of parameters, for instance. Simple exact calculations can be performed for small lattice sizes, yielding qualitative informations and reasonably accurate quantitative critical frontiers and exponents. Very accurate values can be obtained, however, performing the same ca lculations for larger lattices, using Monte Carlo sampling.