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

DİLAVER M., Gündüç S., Aydin M., Gündüç Y.

Computer Physics Communications, cilt.175, sa.8, ss.553-558, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 175 Sayı: 8
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.cpc.2006.07.007
  • Dergi Adı: Computer Physics Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.553-558
  • Anahtar Kelimeler: Dynamic scaling, Ising model, Time evolution of the magnetization
  • Ankara Üniversitesi Adresli: Hayır

Özet

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 x0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling. © 2006 Elsevier B.V. All rights reserved.