The Finite-Size Scaling Study of the Ising Model for the Fractals

MERDAN, ZİYA; Bayirli, M.; Gunen, A.; Bulbul, MEHMET

doi:10.1007/s10773-015-2843-4

The Finite-Size Scaling Study of the Ising Model for the Fractals

Atıf İçin Kopyala

MERDAN Z., Bayirli M., Gunen A., Bulbul M. M.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.55, sa.4, ss.2031-2039, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 55 Sayı: 4
Basım Tarihi: 2016
Doi Numarası: 10.1007/s10773-015-2843-4
Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2031-2039
Gazi Üniversitesi Adresli: Evet

Özet

The fractals are obtained by using the model of diffusion-limited aggregation (DLA) for 40 a parts per thousand currency sign L a parts per thousand currency sign 240. The two-dimensional Ising model is simulated on the Creutz cellular automaton for 40 a parts per thousand currency sign L a parts per thousand currency sign 240. The critical exponents and the fractal dimensions are computed to be beta = 0.124(8), gamma = 1.747(10), alpha = 0.081(21), delta = 14.994(11), eta = 0.178(10), nu = 0.960(23) and , , , which are consistent with the theoretical values of beta = 0.125, gamma = 1.75, alpha = 0, delta = 15, eta = 0.25, nu = 1 and .