A new approach to dynamic finite-size scaling

Creative Commons License

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

International Journal of Modern Physics C, cilt.14, sa.7, ss.945-954, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 7
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1142/s012918310300508x
  • Dergi Adı: International Journal of Modern Physics C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.945-954
  • Anahtar Kelimeler: Dynamic scaling, Ising model, Time evolution of the magnetization
  • Ankara Üniversitesi Adresli: Hayır

Özet

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model 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.