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      Dynamic critical index of the Swendsen-Wang algorithm by dynamic finite-size scaling

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      Author(s)
      Dilaver, M.
      Gündüç, S.
      Aydin, M.
      Gündüç, Y.
      Date
      2006-10-15
      Source Title
      Computer Physics Communications
      Print ISSN
      0010-4655
      Electronic ISSN
      1879-2944
      Publisher
      Elsevier B.V.
      Volume
      175
      Issue
      8
      Pages
      553 - 558
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      In this work we have considered the dynamic scaling relation of the magnetization in order to study the dynamic scaling behavior of 2- and 3-dimensional Ising models. We have used the literature values of the magnetic critical exponents to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. In this way we have calculated the dynamic critical exponent Z for 2- and 3-dimensional Ising Models by using the Swendsen-Wang cluster algorithm. We have also presented that this method opens the possibility of calculating z and x(0) separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.
      Keywords
      Ising model
      Dynamic scaling
      Time Evolution Of The Magnetization
      Permalink
      http://hdl.handle.net/11693/13298
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.cpc.2006.07.007
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