Finite-size scaling and power law relations for dipole-quadrupole interaction on Blume-Emery-Griffiths model

• Autorzy: Aycan Özkan , Bülent Kutlu
• Języki publikacji: EN

Abstrakty

EN

The Blume-Emery-Griffiths model with the dipole-quadrupole interaction ($$ \ell = \frac{I} {J} $$) has been simulated using a cellular automaton algorithm improved from the Creutz cellular automaton (CCA) on the face centered cubic (fcc) lattice. The finite-size scaling relations and the power laws of the order parameter (M) and the susceptibility (χ) are proposed for the dipole-quadrupole interaction (ℓ). The dipole-quadrupole critical exponent δχ has been estimated from the data of the order parameter (M) and the susceptibility (χ). The simulations have been done in the interval $$ 0 \leqslant \ell = \frac{I} {J}0 \leqslant 0.01 $$ for $$ d = \frac{D} {J} = 0,k = \frac{K} {J} = 0 $$ and $$ h = \frac{H} {J} = 0 $$ parameter values on a face centered cubic (fcc) lattice with periodic boundary conditions. The results indicate that the effect of the ℓ parameter is similar to the external magnetic field (h). The critical exponent δℓ are in good agreement with the universal value (δh = 5) of the external magnetic field.

Słowa kluczowe

EN

cellular automaton; face-centered cubic; Blume-Emery-Griffiths model; critical exponent

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 3
• Strony: 884-890

Daty

wydano

2011-06-01

online

2011-02-26

Twórcy

autor

Aycan Özkan

• Fen -Edebiyat Fakültesi, Fizik Bölümü, Gazi Üniversitesi, 06500, Teknikokullar, Ankara, Turkey,

autor

Bülent Kutlu

• Fen -Edebiyat Fakültesi, Fizik Bölümü, Gazi Üniversitesi, 06500, Teknikokullar, Ankara, Turkey,

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Identyfikatory

DOI

10.2478/s11534-010-0081-1