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Monte Carlo renormalization-group study of the site-diluted simple-cubic Ising model

Journal Article · · Physical Review, B: Condensed Matter; (USA)
;  [1]
  1. Max-Planck-Institut fuer Metallforschung, Institut fuer Physik, Heisenbergstrasse 1, 7000 Stuttgart 80, Federal Republic of Germany (DE)
The Monte Carlo renormalization-group approach is applied to investigate the critical behavior of the simple-cubic Ising model diluted randomly with nonmagnetic atoms of concentration {ital x}. For {ital x}=0.2 a value of {nu}=0.688(13) is found which is well above the result {nu}=0.629(4) for the pure model and above the exact lower bound of {nu}=2/3, and the relative width of the asymptotic regime is definitely larger than 3{times}10{sup {minus}4}. For {ital x}=0.1 the obtained value is below the exact lower bound, possibly indicating that the asymptotic critical regime has not been penetrated, that this regime has a width smaller than 1.3{times}10{sup {minus}4}, and that it can hardly be explored by experiments or computer simulations.
OSTI ID:
6803667
Journal Information:
Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:16; ISSN PRBMD; ISSN 0163-1829
Country of Publication:
United States
Language:
English

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