Computer simulations at the fixed point using an inverse renormalization group transformation

Following Brandt and Ron's suggestion of inverting the renormalization group transformation used in Monte Carlo renormalization, it is shown that efficient computer simulations of the fixed point of the transformation can be carried out on very large systems without critical slowing down. We il...

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Bibliographic Details
Published inPhysica A Vol. 346; no. 3; pp. 387 - 399
Main Authors Ron, Dorit, Swendsen, Robert H., Brandt, Achi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.02.2005
Subjects
Brandt–Ron representation
Critical exponents
Fixed point
Ising model
Monte Carlo simulations
Renormalization group transformation
05.50.+q
05.10.Ln
Monte Carlo simulations
Renormalization group transformation
Brandt–Ron representation
Ising model
05.10.Cc
Critical exponents
Fixed point
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Summary:Following Brandt and Ron's suggestion of inverting the renormalization group transformation used in Monte Carlo renormalization, it is shown that efficient computer simulations of the fixed point of the transformation can be carried out on very large systems without critical slowing down. We illustrate the new method with calculations of critical exponents for the two- and three-dimensional Ising models, based on several different transformations.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2004.08.009