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Critical dynamics of cluster algorithms in the dilute Ising model

Journal Article · · Journal of Statistical Physics; (United States)
DOI:https://doi.org/10.1007/BF01048034· OSTI ID:5805278
 [1];  [2]
  1. Ruhr-Universitaet, Bochum (Germany) Universitaet Karlsruhe (Germany)
  2. Ruhr-Universitaet, Bochum (Germany)
+ Show Author Affiliations
Autocorrelation times for thermodynamic quantities at [Tc] are calculated from Monte Carlo simulations of the site-diluted simple cubic Ising model, using the Swendsen-Wand and Wolff cluster algorithms. The results show that for these algorithms the autocorrelation times decrease when reducing the concentration of magnetic sites from 100% down to 40%. This is of crucial importance when estimating static properties of the model, since the variances of these estimators increase with autocorrelation time. The dynamical critical exponents are calculated for both algorithms, observing pronounced finite-size effects in the energy autocorrelation data for the algorithm of Wolff. It is concluded that, when applied to the dilute Ising model, cluster algorithms become even more effective than local algorithms, for which increasing autocorrelation times are expected. 33 refs., 5 figs., 2 tabs.
OSTI ID:
5805278
Journal Information:
Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 72:3-4; ISSN JSTPBS; ISSN 0022-4715
Country of Publication:
United States
Language:
English

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Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
CALCULATION METHODS
COMPUTER CALCULATIONS
CRITICAL TEMPERATURE
CRYSTAL MODELS
DATA COVARIANCES
FIELD THEORIES
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MECHANICS
MONTE CARLO METHOD
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
STATISTICAL MECHANICS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE