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

• Authors: Aycan Özkan , Bülent Kutlu
• Languages of publication: EN

Abstracts

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.

Keywords

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 3
• Pages: 884-890

Dates

published

1 - 6 - 2011

online

26 - 2 - 2011

Contributors

author

Aycan Özkan

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

author

Bülent Kutlu

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

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Identifiers

DOI

10.2478/s11534-010-0081-1